1
|
Chen L, Lefrançois É, Vallipuram A, Barthélemy Q, Ataei A, Yao W, Li Y, Taillefer L. Planar thermal Hall effect from phonons in a Kitaev candidate material. Nat Commun 2024; 15:3513. [PMID: 38664403 PMCID: PMC11045815 DOI: 10.1038/s41467-024-47858-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2023] [Accepted: 04/12/2024] [Indexed: 04/28/2024] Open
Abstract
The thermal Hall effect has emerged as a potential probe of exotic excitations in spin liquids. In the Kitaev magnet α -RuCl3, the thermal Hall conductivityκ x y has been attributed to Majorana fermions, chiral magnons, or phonons. Theoretically, the former two types of heat carriers can generate a "planar"κ x y , whereby the magnetic field is parallel to the heat current, but it is unknown whether phonons also could. Here we show that a planarκ x y is present in another Kitaev candidate material, Na2Co2TeO6. Based on the striking similarity betweenκ x y and the phonon-dominated thermal conductivityκ x x , we attribute the effect to phonons. We observe a large difference inκ x y between different configurations of heat current and magnetic field, which reveals that the direction of heat current matters in determining the planarκ x y . Our observation calls for a re-evaluation of the planarκ x y observed inα -RuCl3.
Collapse
Affiliation(s)
- Lu Chen
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, Canada.
| | - Étienne Lefrançois
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, Canada
| | - Ashvini Vallipuram
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, Canada
| | - Quentin Barthélemy
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, Canada
| | - Amirreza Ataei
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, Canada
| | - Weiliang Yao
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Yuan Li
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Louis Taillefer
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, Canada.
- Canadian Institute for Advanced Research, Toronto, ON, Canada.
| |
Collapse
|
2
|
Michon B, Berthod C, Rischau CW, Ataei A, Chen L, Komiya S, Ono S, Taillefer L, van der Marel D, Georges A. Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat. Nat Commun 2023; 14:3033. [PMID: 37236962 DOI: 10.1038/s41467-023-38762-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2023] [Accepted: 05/11/2023] [Indexed: 05/28/2023] Open
Abstract
Materials tuned to a quantum critical point display universal scaling properties as a function of temperature T and frequency ω. A long-standing puzzle regarding cuprate superconductors has been the observed power-law dependence of optical conductivity with an exponent smaller than one, in contrast to T-linear dependence of the resistivity and ω-linear dependence of the optical scattering rate. Here, we present and analyze resistivity and optical conductivity of La2-xSrxCuO4 with x = 0.24. We demonstrate ℏω/kBT scaling of the optical data over a wide range of frequency and temperature, T-linear resistivity, and optical effective mass proportional to [Formula: see text] corroborating previous specific heat experiments. We show that a T, ω-linear scaling Ansatz for the inelastic scattering rate leads to a unified theoretical description of the experimental data, including the power-law of the optical conductivity. This theoretical framework provides new opportunities for describing the unique properties of quantum critical matter.
Collapse
Affiliation(s)
- Bastien Michon
- Department of Quantum Matter Physics, University of Geneva, Geneva, Switzerland
- Department of Physics, City University of Hong Kong, Kowloon, Hong Kong, China
- Hong Kong Institute for Advanced Study, City University of Hong Kong, Kowloon, Hong Kong, China
| | - Christophe Berthod
- Department of Quantum Matter Physics, University of Geneva, Geneva, Switzerland
| | - Carl Willem Rischau
- Department of Quantum Matter Physics, University of Geneva, Geneva, Switzerland
| | - Amirreza Ataei
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | - Lu Chen
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | - Seiki Komiya
- Energy Transformation Research Laboratory, Central Research Institute of Electric Power Industry, Yokosuka, Kanagawa, Japan
| | - Shimpei Ono
- Energy Transformation Research Laboratory, Central Research Institute of Electric Power Industry, Yokosuka, Kanagawa, Japan
| | - Louis Taillefer
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
- Canadian Institute for Advanced Research, Toronto, ON, Canada
| | - Dirk van der Marel
- Department of Quantum Matter Physics, University of Geneva, Geneva, Switzerland.
| | - Antoine Georges
- Department of Quantum Matter Physics, University of Geneva, Geneva, Switzerland.
- Collège de France, Paris, France.
- Center for Computational Quantum Physics, Flatiron Institute, New York, NY, USA.
- CPHT, CNRS, École Polytechnique, IP Paris, Palaiseau, France.
| |
Collapse
|
3
|
Boulanger ME, Grissonnanche G, Badoux S, Allaire A, Lefrançois É, Legros A, Gourgout A, Dion M, Wang CH, Chen XH, Liang R, Hardy WN, Bonn DA, Taillefer L. Thermal Hall conductivity in the cuprate Mott insulators Nd 2CuO 4 and Sr 2CuO 2Cl 2. Nat Commun 2020; 11:5325. [PMID: 33087726 PMCID: PMC7577976 DOI: 10.1038/s41467-020-18881-z] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/09/2020] [Accepted: 09/17/2020] [Indexed: 12/04/2022] Open
Abstract
The heat carriers responsible for the unexpectedly large thermal Hall conductivity of the cuprate Mott insulator La2CuO4 were recently shown to be phonons. However, the mechanism by which phonons in cuprates acquire chirality in a magnetic field is still unknown. Here, we report a similar thermal Hall conductivity in two cuprate Mott insulators with significantly different crystal structures and magnetic orders – Nd2CuO4 and Sr2CuO2Cl2 – and show that two potential mechanisms can be excluded – the scattering of phonons by rare-earth impurities and by structural domains. Our comparative study further reveals that orthorhombicity, apical oxygens, the tilting of oxygen octahedra and the canting of spins out of the CuO2 planes are not essential to the mechanism of chirality. Our findings point to a chiral mechanism coming from a coupling of acoustic phonons to the intrinsic excitations of the CuO2 planes. What makes the phonons in cuprates become chiral, as measured by their thermal Hall effect, is an unresolved question. Here, the authors rule out two extrinsic mechanisms and argue that chirality comes from a coupling of acoustic phonons to the intrinsic excitations of the CuO2 planes.
Collapse
Affiliation(s)
- Marie-Eve Boulanger
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - Gaël Grissonnanche
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - Sven Badoux
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - Andréanne Allaire
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - Étienne Lefrançois
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - Anaëlle Legros
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada.,SPEC, CEA, CNRS-UMR3680, Université Paris-Saclay, Gif-Sur-Yvette, France
| | - Adrien Gourgout
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - Maxime Dion
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - C H Wang
- Hefei National Laboratory for Physical Science at Microscale and Department of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China
| | - X H Chen
- Hefei National Laboratory for Physical Science at Microscale and Department of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China
| | - R Liang
- Department of Physics & Astronomy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada
| | - W N Hardy
- Department of Physics & Astronomy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada
| | - D A Bonn
- Department of Physics & Astronomy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada
| | - Louis Taillefer
- Institut Quantique, Département de Physique & RQMP, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada. .,Canadian Institute for Advanced Research, Toronto, ON, M5G 1M1, Canada.
| |
Collapse
|
4
|
Grissonnanche G, Legros A, Badoux S, Lefrançois E, Zatko V, Lizaire M, Laliberté F, Gourgout A, Zhou JS, Pyon S, Takayama T, Takagi H, Ono S, Doiron-Leyraud N, Taillefer L. Giant thermal Hall conductivity in the pseudogap phase of cuprate superconductors. Nature 2019; 571:376-380. [DOI: 10.1038/s41586-019-1375-0] [Citation(s) in RCA: 68] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2018] [Accepted: 04/26/2019] [Indexed: 11/09/2022]
|
5
|
Michon B, Girod C, Badoux S, Kačmarčík J, Ma Q, Dragomir M, Dabkowska HA, Gaulin BD, Zhou JS, Pyon S, Takayama T, Takagi H, Verret S, Doiron-Leyraud N, Marcenat C, Taillefer L, Klein T. Thermodynamic signatures of quantum criticality in cuprate superconductors. Nature 2019; 567:218-222. [PMID: 30760922 DOI: 10.1038/s41586-019-0932-x] [Citation(s) in RCA: 86] [Impact Index Per Article: 17.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2018] [Accepted: 12/17/2018] [Indexed: 11/09/2022]
Abstract
The three central phenomena of cuprate (copper oxide) superconductors are linked by a common doping level p*-at which the enigmatic pseudogap phase ends and the resistivity exhibits an anomalous linear dependence on temperature, and around which the superconducting phase forms a dome-shaped area in the phase diagram1. However, the fundamental nature of p* remains unclear, in particular regarding whether it marks a true quantum phase transition. Here we measure the specific heat C of the cuprates Eu-LSCO and Nd-LSCO at low temperature in magnetic fields large enough to suppress superconductivity, over a wide doping range2 that includes p*. As a function of doping, we find that Cel/T is strongly peaked at p* (where Cel is the electronic contribution to C) and exhibits a log(1/T) dependence as temperature T tends to zero. These are the classic thermodynamic signatures of a quantum critical point3-5, as observed in heavy-fermion6 and iron-based7 superconductors at the point where their antiferromagnetic phase comes to an end. We conclude that the pseudogap phase of cuprates ends at a quantum critical point, the associated fluctuations of which are probably involved in d-wave pairing and the anomalous scattering of charge carriers.
Collapse
Affiliation(s)
- B Michon
- Institut Néel, Université Grenoble Alpes, Grenoble, France.,Institut quantique, Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada.,CNRS, Institut Néel, Grenoble, France
| | - C Girod
- Institut Néel, Université Grenoble Alpes, Grenoble, France.,Institut quantique, Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada.,CNRS, Institut Néel, Grenoble, France
| | - S Badoux
- Institut quantique, Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | - J Kačmarčík
- Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
| | - Q Ma
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada
| | - M Dragomir
- Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, Canada
| | - H A Dabkowska
- Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, Canada
| | - B D Gaulin
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada.,Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, Canada.,Canadian Institute for Advanced Research, Toronto, Ontario, Canada
| | - J-S Zhou
- Materials Science and Engineering Program, Department of Mechanical Engineering, University of Texas at Austin, Austin, Texas, USA
| | - S Pyon
- Department of Advanced Materials Science, University of Tokyo, Kashiwa, Japan
| | - T Takayama
- Department of Advanced Materials Science, University of Tokyo, Kashiwa, Japan
| | - H Takagi
- Department of Advanced Materials Science, University of Tokyo, Kashiwa, Japan
| | - S Verret
- Institut quantique, Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | - N Doiron-Leyraud
- Institut quantique, Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | - C Marcenat
- Université Grenoble Alpes, CEA, INAC, PHELIQS, LATEQS, Grenoble, France
| | - L Taillefer
- Institut quantique, Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada. .,Canadian Institute for Advanced Research, Toronto, Ontario, Canada.
| | - T Klein
- Institut Néel, Université Grenoble Alpes, Grenoble, France. .,CNRS, Institut Néel, Grenoble, France.
| |
Collapse
|
6
|
Kačmarčík J, Vinograd I, Michon B, Rydh A, Demuer A, Zhou R, Mayaffre H, Liang R, Hardy WN, Bonn DA, Doiron-Leyraud N, Taillefer L, Julien MH, Marcenat C, Klein T. Unusual Interplay between Superconductivity and Field-Induced Charge Order in YBa_{2}Cu_{3}O_{y}. Phys Rev Lett 2018; 121:167002. [PMID: 30387647 DOI: 10.1103/physrevlett.121.167002] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/25/2018] [Indexed: 06/08/2023]
Abstract
We present a detailed study of the temperature (T) and magnetic field (H) dependence of the electronic density of states (DOS) at the Fermi level, as deduced from specific heat and Knight shift measurements in underdoped YBa_{2}Cu_{3}O_{y}. We find that the DOS becomes field independent above a characteristic field H_{DOS}, and that the H_{DOS}(T) line displays an unusual inflection near the onset of the long-range 3D charge-density wave order. The unusual S shape of H_{DOS}(T) is suggestive of two mutually exclusive orders that eventually establish a form of cooperation in order to coexist at low T. On theoretical grounds, such a collaboration could result from the stabilization of a pair-density wave state, which calls for further investigation in this region of the phase diagram.
Collapse
Affiliation(s)
- J Kačmarčík
- Université Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
- Institute of Experimental Physics, Slovak Academy of Sciences, SK-04001 Košice, Slovakia
| | - I Vinograd
- Université Grenoble Alpes, INSA Toulouse, Université Toulouse Paul Sabatier, CNRS, LNCMI, F-38000 Grenoble, France
| | - B Michon
- Université Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
| | - A Rydh
- Départment of Physics, Stockholm University, AlbaNova University Center, SE-10691 Stockholm, Sweden
| | - A Demuer
- Université Grenoble Alpes, INSA Toulouse, Université Toulouse Paul Sabatier, CNRS, LNCMI, F-38000 Grenoble, France
| | - R Zhou
- Université Grenoble Alpes, INSA Toulouse, Université Toulouse Paul Sabatier, CNRS, LNCMI, F-38000 Grenoble, France
| | - H Mayaffre
- Université Grenoble Alpes, INSA Toulouse, Université Toulouse Paul Sabatier, CNRS, LNCMI, F-38000 Grenoble, France
| | - R Liang
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1M1, Canada
| | - W N Hardy
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1M1, Canada
| | - D A Bonn
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1M1, Canada
| | - N Doiron-Leyraud
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
| | - L Taillefer
- Institut quantique, Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1M1, Canada
| | - M-H Julien
- Université Grenoble Alpes, INSA Toulouse, Université Toulouse Paul Sabatier, CNRS, LNCMI, F-38000 Grenoble, France
| | - C Marcenat
- Université Grenoble Alpes, CEA, INAC, PhELIQS, LATEQS, F-38000 Grenoble, France
| | - T Klein
- Université Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| |
Collapse
|
7
|
Bourgeois-Hope P, Chi S, Bonn DA, Liang R, Hardy WN, Wolf T, Meingast C, Doiron-Leyraud N, Taillefer L. Thermal Conductivity of the Iron-Based Superconductor FeSe: Nodeless Gap with a Strong Two-Band Character. Phys Rev Lett 2016; 117:097003. [PMID: 27610878 DOI: 10.1103/physrevlett.117.097003] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2016] [Indexed: 06/06/2023]
Abstract
The thermal conductivity κ of the iron-based superconductor FeSe was measured at temperatures down to 75 mK in magnetic fields up to 17 T. In a zero magnetic field, the electronic residual linear term in the T=0 K limit, κ_{0}/T, is vanishingly small. The application of a magnetic field B causes an exponential increase in κ_{0}/T initially. Those two observations show that there are no zero-energy quasiparticles that carry heat and therefore no nodes in the superconducting gap of FeSe. The full field dependence of κ_{0}/T has the classic two-step shape of a two-band superconductor: a first rise at very low field, with a characteristic field B^{⋆}≪B_{c2}, and then a second rise up to the upper critical field B_{c2}. This shows that the superconducting gap is very small (but finite) on one of the pockets in the Fermi surface of FeSe. We estimate that the minimum value of the gap, Δ_{min}, is an order of magnitude smaller than the maximum value, Δ_{max}.
Collapse
Affiliation(s)
- P Bourgeois-Hope
- Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
| | - S Chi
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - D A Bonn
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - R Liang
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - W N Hardy
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - T Wolf
- Institute of Solid State Physics (IFP), Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - C Meingast
- Institute of Solid State Physics (IFP), Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - N Doiron-Leyraud
- Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
| | - Louis Taillefer
- Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
- Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| |
Collapse
|
8
|
Paglione J, Tanatar MA, Reid JP, Shakeripour H, Petrovic C, Taillefer L. Quantum Critical Quasiparticle Scattering within the Superconducting State of CeCoIn_{5}. Phys Rev Lett 2016; 117:016601. [PMID: 27419578 DOI: 10.1103/physrevlett.117.016601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/04/2016] [Indexed: 06/06/2023]
Abstract
The thermal conductivity κ of the heavy-fermion metal CeCoIn_{5} was measured in the normal and superconducting states as a function of temperature T and magnetic field H, for a current and field parallel to the [100] direction. Inside the superconducting state, when the field is lower than the upper critical field H_{c2}, κ/T is found to increase as T→0, just as in a metal and in contrast to the behavior of all known superconductors. This is due to unpaired electrons on part of the Fermi surface, which dominate the transport above a certain field. The evolution of κ/T with field reveals that the electron-electron scattering (or transport mass m^{⋆}) of those unpaired electrons diverges as H→H_{c2} from below, in the same way that it does in the normal state as H→H_{c2} from above. This shows that the unpaired electrons sense the proximity of the field-tuned quantum critical point of CeCoIn_{5} at H^{⋆}=H_{c2} even from inside the superconducting state. The fact that the quantum critical scattering of the unpaired electrons is much weaker than the average scattering of all electrons in the normal state reveals a k-space correlation between the strength of pairing and the strength of scattering, pointing to a common mechanism, presumably antiferromagnetic fluctuations.
Collapse
Affiliation(s)
- Johnpierre Paglione
- Center for Nanophysics and Advanced Materials, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- Canadian Institute for Advanced Research, Toronto, Canada M5G 1Z8
| | - M A Tanatar
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Canada J1K 2R1
- Ames Laboratory USDOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - J-Ph Reid
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Canada J1K 2R1
| | - H Shakeripour
- Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran
| | - C Petrovic
- Canadian Institute for Advanced Research, Toronto, Canada M5G 1Z8
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - Louis Taillefer
- Canadian Institute for Advanced Research, Toronto, Canada M5G 1Z8
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Canada J1K 2R1
| |
Collapse
|
9
|
Doiron-Leyraud N, Badoux S, René de Cotret S, Lepault S, LeBoeuf D, Laliberté F, Hassinger E, Ramshaw BJ, Bonn DA, Hardy WN, Liang R, Park JH, Vignolles D, Vignolle B, Taillefer L, Proust C. Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy. Nat Commun 2015; 6:6034. [PMID: 25616011 PMCID: PMC4316745 DOI: 10.1038/ncomms7034] [Citation(s) in RCA: 56] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2014] [Accepted: 12/04/2014] [Indexed: 11/09/2022] Open
Abstract
In underdoped cuprate superconductors, the Fermi surface undergoes a reconstruction that produces a small electron pocket, but whether there is another, as yet, undetected portion to the Fermi surface is unknown. Establishing the complete topology of the Fermi surface is key to identifying the mechanism responsible for its reconstruction. Here we report evidence for a second Fermi pocket in underdoped YBa2Cu3Oy, detected as a small quantum oscillation frequency in the thermoelectric response and in the c-axis resistance. The field-angle dependence of the frequency shows that it is a distinct Fermi surface, and the normal-state thermopower requires it to be a hole pocket. A Fermi surface consisting of one electron pocket and two hole pockets with the measured areas and masses is consistent with a Fermi-surface reconstruction by the charge-density-wave order observed in YBa2Cu3Oy, provided other parts of the reconstructed Fermi surface are removed by a separate mechanism, possibly the pseudogap.
Collapse
Affiliation(s)
- N Doiron-Leyraud
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - S Badoux
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - S René de Cotret
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - S Lepault
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - D LeBoeuf
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - F Laliberté
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - E Hassinger
- Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - B J Ramshaw
- Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
| | - D A Bonn
- 1] Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - W N Hardy
- 1] Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - R Liang
- 1] Department of Physics &Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - J-H Park
- National High Magnetic Field Laboratory, Tallahassee, Florida 32310, USA
| | - D Vignolles
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - B Vignolle
- Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France
| | - L Taillefer
- 1] Département de physique &RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1 [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - C Proust
- 1] Laboratoire National des Champs Magnétiques Intenses (CNRS, INSA, UJF, UPS), 31400 Toulouse, France [2] Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| |
Collapse
|
10
|
Grissonnanche G, Cyr-Choinière O, Laliberté F, René de Cotret S, Juneau-Fecteau A, Dufour-Beauséjour S, Delage MÈ, LeBoeuf D, Chang J, Ramshaw BJ, Bonn DA, Hardy WN, Liang R, Adachi S, Hussey NE, Vignolle B, Proust C, Sutherland M, Krämer S, Park JH, Graf D, Doiron-Leyraud N, Taillefer L. Direct measurement of the upper critical field in cuprate superconductors. Nat Commun 2014; 5:3280. [PMID: 24518054 PMCID: PMC3929805 DOI: 10.1038/ncomms4280] [Citation(s) in RCA: 147] [Impact Index Per Article: 14.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/13/2013] [Accepted: 01/19/2014] [Indexed: 11/08/2022] Open
Abstract
In the quest to increase the critical temperature Tc of cuprate superconductors, it is essential to identify the factors that limit the strength of superconductivity. The upper critical field Hc2 is a fundamental measure of that strength, yet there is no agreement on its magnitude and doping dependence in cuprate superconductors. Here we show that the thermal conductivity can be used to directly detect Hc2 in the cuprates YBa2Cu3Oy, YBa2Cu4O8 and Tl2Ba2CuO6+δ, allowing us to map out Hc2 across the doping phase diagram. It exhibits two peaks, each located at a critical point where the Fermi surface of YBa2Cu3Oy is known to undergo a transformation. Below the higher critical point, the condensation energy, obtained directly from Hc2, suffers a sudden 20-fold collapse. This reveals that phase competition-associated with Fermi-surface reconstruction and charge-density-wave order-is a key limiting factor in the superconductivity of cuprates.
Collapse
Affiliation(s)
- G. Grissonnanche
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - O. Cyr-Choinière
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - F. Laliberté
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - S. René de Cotret
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - A. Juneau-Fecteau
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - S. Dufour-Beauséjour
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - M. -È. Delage
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - D. LeBoeuf
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
- Present address: Laboratoire National des Champs Magnétiques Intenses, Grenoble, France
| | - J. Chang
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
- Present address: École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - B. J. Ramshaw
- Department of Physics & Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
| | - D. A. Bonn
- Department of Physics & Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - W. N. Hardy
- Department of Physics & Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - R. Liang
- Department of Physics & Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| | - S. Adachi
- Superconductivity Research Laboratory, ISTEC, Yokohama, Kanagawa 223-0051, Japan
| | - N. E. Hussey
- H. H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, UK
- Present address: High Field Magnet Laboratory, Radboud University Nijmegen, The Netherlands
| | - B. Vignolle
- Laboratoire National des Champs Magnétiques Intenses, Toulouse 31400, France
| | - C. Proust
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
- Laboratoire National des Champs Magnétiques Intenses, Toulouse 31400, France
| | - M. Sutherland
- Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, UK
| | - S. Krämer
- Laboratoire National des Champs Magnétiques Intenses, Grenoble, France
| | - J. -H. Park
- National High Magnetic Field Laboratory, Tallahassee, Florida 32310, USA
| | - D. Graf
- National High Magnetic Field Laboratory, Tallahassee, Florida 32310, USA
| | - N. Doiron-Leyraud
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
| | - Louis Taillefer
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8
| |
Collapse
|
11
|
Reid JP, Tanatar MA, Juneau-Fecteau A, Gordon RT, de Cotret SR, Doiron-Leyraud N, Saito T, Fukazawa H, Kohori Y, Kihou K, Lee CH, Iyo A, Eisaki H, Prozorov R, Taillefer L. Universal heat conduction in the iron arsenide superconductor KFe2As2: evidence of a d-wave state. Phys Rev Lett 2012; 109:087001. [PMID: 23002766 DOI: 10.1103/physrevlett.109.087001] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/16/2012] [Indexed: 06/01/2023]
Abstract
The thermal conductivity κ of the iron arsenide superconductor KFe2As2 was measured down to 50 mK for a heat current parallel and perpendicular to the tetragonal c axis. A residual linear term at T→0, κ(0)/T is observed for both current directions, confirming the presence of nodes in the superconducting gap. Our value of κ(0)/T in the plane is equal to that reported by Dong et al. [Phys. Rev. Lett. 104, 087005 (2010)] for a sample whose residual resistivity ρ(0) was 10 times larger. This independence of κ(0)/T on impurity scattering is the signature of universal heat transport, a property of superconducting states with symmetry-imposed line nodes. This argues against an s-wave state with accidental nodes. It favors instead a d-wave state, an assignment consistent with five additional properties: the magnitude of the critical scattering rate Γ(c) for suppressing T(c) to zero; the magnitude of κ(0)/T, and its dependence on current direction and on magnetic field; the temperature dependence of κ(T).
Collapse
Affiliation(s)
- J-Ph Reid
- Département de physique and RQMP, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
12
|
Auban-Senzier P, Jérome D, Doiron-Leyraud N, René de Cotret S, Sedeki A, Bourbonnais C, Taillefer L, Alemany P, Canadell E, Bechgaard K. The metallic transport of (TMTSF)2X organic conductors close to the superconducting phase. J Phys Condens Matter 2011; 23:345702. [PMID: 21841229 DOI: 10.1088/0953-8984/23/34/345702] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
Comparing resistivity data of the quasi-one-dimensional superconductors (TMTSF)2PF6 and (TMTSF)2ClO4 along the least conducting c(⋆)-axis and along the high conductivity a-axis as a function of temperature and pressure, a low temperature regime is observed in which a unique scattering time governs the transport along both directions of these anisotropic conductors. However, the pressure dependence of the anisotropy implies a large pressure dependence of the interlayer coupling. This is in agreement with the results of first-principles density functional theory calculations implying methyl group hyperconjugation in the TMTSF molecule. In this low temperature regime, both materials exhibit for ρ(c) a temperature dependence aT + bT(2). Taking into account the strong pressure dependence of the anisotropy, the T-linear ρ(c) is found to correlate with the suppression of the superconducting Tc, in close analogy with ρ(a) data. This work reveals the domain of existence of the three-dimensional coherent regime in the generic (TMTSF)2X phase diagram and provides further support for the correlation between T-linear resistivity and superconductivity in non-conventional superconductors.
Collapse
Affiliation(s)
- P Auban-Senzier
- Laboratoire de Physique des Solides, UMR 8502 CNRS Université Paris-Sud, 91405 Orsay, France
| | | | | | | | | | | | | | | | | | | |
Collapse
|
13
|
Tanatar MA, Reid JP, Shakeripour H, Luo XG, Doiron-Leyraud N, Ni N, Bud'ko SL, Canfield PC, Prozorov R, Taillefer L. Doping dependence of heat transport in the iron-arsenide superconductor Ba(Fe(1-x)Co(x))2As2: from isotropic to a strongly k-dependent gap structure. Phys Rev Lett 2010; 104:067002. [PMID: 20366850 DOI: 10.1103/physrevlett.104.067002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/07/2009] [Revised: 12/18/2009] [Indexed: 05/29/2023]
Abstract
The temperature and magnetic field dependence of the in-plane thermal conductivity kappa of the iron-arsenide superconductor Ba(Fe(1-x)Co(x))2As2 was measured down to T approximately 50 mK and up to H = 15 T as a function of Co concentration x in the range 0.048 < or = x < or = 0.114. At H = 0, a negligible residual linear term in kappa/T as T-->0 at all x shows that the superconducting gap has no nodes in the ab plane anywhere in the phase diagram. However, while the slow H dependence of kappa(H) at T-->0 in the underdoped regime is consistent with a superconducting gap that is large everywhere on the Fermi surface, the rapid increase in kappa(H) observed in the overdoped regime shows that the gap acquires a deep minimum somewhere on the Fermi surface. Outside the antiferromagnetic-orthorhombic phase, the superconducting gap structure has a strongly k-dependent amplitude.
Collapse
|
14
|
Chang J, Daou R, Proust C, Leboeuf D, Doiron-Leyraud N, Laliberté F, Pingault B, Ramshaw BJ, Liang R, Bonn DA, Hardy WN, Takagi H, Antunes AB, Sheikin I, Behnia K, Taillefer L. Nernst and Seebeck coefficients of the cuprate superconductor YBa2Cu3O6.67: a study of Fermi surface reconstruction. Phys Rev Lett 2010; 104:057005. [PMID: 20366789 DOI: 10.1103/physrevlett.104.057005] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2009] [Indexed: 05/29/2023]
Abstract
The Seebeck and Nernst coefficients S and nu of the cuprate superconductor YBa{2}Cu{3}O{y} (YBCO) were measured in a single crystal with doping p=0.12 in magnetic fields up to H=28 T. Down to T=9 K, nu becomes independent of field by H approximately 30 T, showing that superconducting fluctuations have become negligible. In this field-induced normal state, S/T and nu/T are both large and negative in the T-->0 limit, with the magnitude and sign of S/T consistent with the small electronlike Fermi surface pocket detected previously by quantum oscillations and the Hall effect. The change of sign in S(T) at T approximately 50 K is remarkably similar to that observed in La2-xBaxCuO4, La{2-x-y}Nd{y}Sr_{x}CuO{4}, and La{2-x-y}Eu{y}Sr{x}CuO{4}, where it is clearly associated with the onset of stripe order. We propose that a similar density-wave mechanism causes the Fermi surface reconstruction in YBCO.
Collapse
Affiliation(s)
- J Chang
- Département de physique & RQMP, Université de Sherbrooke, Sherbrooke, Canada
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
15
|
Audouard A, Jaudet C, Vignolles D, Liang R, Bonn DA, Hardy WN, Taillefer L, Proust C. Multiple quantum oscillations in the de Haas-van Alphen spectra of the underdoped high-temperature superconductor YBa2Cu3O6.5. Phys Rev Lett 2009; 103:157003. [PMID: 19905661 DOI: 10.1103/physrevlett.103.157003] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/02/2008] [Indexed: 05/28/2023]
Abstract
By improving the experimental conditions and extensive data accumulation, we have achieved very high precision in the measurements of the de Haas-van Alphen effect in the underdoped high-temperature superconductor YBa2Cu3O6.5. We find that the main oscillation, so far believed to be single frequency, is composed of three closely spaced frequencies. We attribute this to bilayer splitting and warping of a single quasi-2D Fermi surface, indicating that c axis coherence is restored at low temperature in underdoped cuprates. Our results do not support the existence of a larger frequency of the order of 1650 T reported recently in the same compound [S. E. Sebastian, Nature (London) 454, 200 (2008)].
Collapse
Affiliation(s)
- Alain Audouard
- Laboratoire National des Champs Magnétiques Intenses (CNRS), Toulouse, France
| | | | | | | | | | | | | | | |
Collapse
|
16
|
Abstract
The recent observation of quantum oscillations in underdoped high-T(c) superconductors, combined with their negative Hall coefficient at low temperature, reveals that the Fermi surface of hole-doped cuprates includes a small electron pocket. This strongly suggests that the large hole Fermi surface characteristic of the overdoped regime undergoes a reconstruction caused by the onset of some order which breaks translational symmetry. Here we consider the possibility that this order is 'stripe' order, a form of combined charge/spin modulation observed most clearly in materials like Eu-doped and Nd-doped LSCO (La(2-x)Sr(x)CuO(4)). In these materials, the onset of stripe order coincides with major changes in transport properties, providing strong evidence that stripe order is indeed the cause of Fermi surface reconstruction. We identify the critical doping where this reconstruction occurs and show that the temperature dependence of transport coefficients at that doping is typical of metals at a quantum critical point. We discuss how the pseudogap phase may be a fluctuating precursor of the stripe-ordered phase.
Collapse
Affiliation(s)
- Louis Taillefer
- Canadian Institute for Advanced Research, Regroupement Québécois sur les Matériaux de Pointe, Département de Physique, Université de Sherbrooke, Sherbrooke, Canada
| |
Collapse
|
17
|
Cyr-Choinière O, Daou R, Laliberté F, LeBoeuf D, Doiron-Leyraud N, Chang J, Yan JQ, Cheng JG, Zhou JS, Goodenough JB, Pyon S, Takayama T, Takagi H, Tanaka Y, Taillefer L. Enhancement of the Nernst effect by stripe order in a high-Tc superconductor. Nature 2009; 458:743-5. [DOI: 10.1038/nature07931] [Citation(s) in RCA: 117] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2008] [Accepted: 02/23/2009] [Indexed: 11/09/2022]
|
18
|
Hill RW, Li S, Maple MB, Taillefer L. Multiband order parameters for the PrOs4Sb12 and PrRu4Sb12 skutterudite superconductors from thermal conductivity measurements. Phys Rev Lett 2008; 101:237005. [PMID: 19113585 DOI: 10.1103/physrevlett.101.237005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2007] [Indexed: 05/27/2023]
Abstract
Thermal conductivity measurements were performed on single crystal samples of the superconducting filled-skutterudite compounds PrOs4Sb12 and PrRu4Sb12 both as a function of temperature and transverse magnetic field. In a zero magnetic field, the low temperature electronic thermal conductivity of PrRu4Sb12 is consistent with a fully gapped Fermi surface. For PrOs4Sb12, residual electronic conduction in the zero-temperature limit is consistent with the presence of nodes in the superconducting energy gap. The electronic thermal conductivity for both compounds shows a rapid rise at low magnetic fields. In PrRu4Sb12, this is interpreted in terms of multiband effects. In PrOs4Sb12, we consider the Doppler shift of nodal quasiparticles and multiband effects.
Collapse
Affiliation(s)
- R W Hill
- Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, Canada.
| | | | | | | |
Collapse
|
19
|
Jaudet C, Vignolles D, Audouard A, Levallois J, LeBoeuf D, Doiron-Leyraud N, Vignolle B, Nardone M, Zitouni A, Liang R, Bonn DA, Hardy WN, Taillefer L, Proust C. de Haas-van Alphen oscillations in the underdoped high-temperature superconductor YBa2Cu3O6.5. Phys Rev Lett 2008; 100:187005. [PMID: 18518412 DOI: 10.1103/physrevlett.100.187005] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/22/2007] [Indexed: 05/26/2023]
Abstract
The de Haas-van Alphen effect was observed in the underdoped cuprate YBa2Cu3O6.5 via a torque technique in pulsed magnetic fields up to 59 T. Above a field of approximately 30 T the magnetization exhibits clear quantum oscillations with a single frequency of 540 T and a cyclotron mass of 1.76 times the free electron mass, in excellent agreement with previously observed Shubnikov-de Haas oscillations. The oscillations obey the standard Lifshitz-Kosevich formula of Fermi-liquid theory. This thermodynamic observation of quantum oscillations confirms the existence of a well-defined, closed, and coherent, Fermi surface in the pseudogap phase of cuprates.
Collapse
Affiliation(s)
- Cyril Jaudet
- Laboratoire National des Champs Magnétiques Pulsés (CNRS-UPS-INSA), Toulouse, France
| | | | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
20
|
Bangura AF, Fletcher JD, Carrington A, Levallois J, Nardone M, Vignolle B, Heard PJ, Doiron-Leyraud N, Leboeuf D, Taillefer L, Adachi S, Proust C, Hussey NE. Small Fermi surface pockets in underdoped high temperature superconductors: observation of Shubnikov-de Haas oscillations in YBa2Cu4O8. Phys Rev Lett 2008; 100:047004. [PMID: 18352322 DOI: 10.1103/physrevlett.100.047004] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/30/2007] [Indexed: 05/26/2023]
Abstract
We report the observation of Shubnikov-de Haas oscillations in the underdoped cuprate superconductor YBa2Cu4O8 (Y124). For fields aligned along the c axis, the frequency of the oscillations is 660+/-30 T, which corresponds to approximately 2.4% of the total area of the first Brillouin zone. The effective mass of the quasiparticles on this orbit is measured to be 2.7+/-0.3 times the free electron mass. Both the frequency and mass are comparable to those recently observed for ortho-II YBa2Cu3O6.5 (Y123-II). We show that although small Fermi surface pockets may be expected from band-structure calculations in Y123-II, no such pockets are predicted for Y124. Our results therefore imply that these small pockets are a generic feature of the copper oxide plane in underdoped cuprates.
Collapse
Affiliation(s)
- A F Bangura
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, BS8 1TL, United Kingdom
| | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
21
|
Shakeripour H, Tanatar MA, Li SY, Petrovic C, Taillefer L. Hybrid gap structure of the heavy-fermion superconductor CeIrIn5. Phys Rev Lett 2007; 99:187004. [PMID: 17995430 DOI: 10.1103/physrevlett.99.187004] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/26/2006] [Indexed: 05/25/2023]
Abstract
The thermal conductivity kappa of the heavy-fermion superconductor CeIrIn5 was measured as a function of temperature down to T(c)/8, for current directions parallel (J parallel c) and perpendicular (J parallel a) to the tetragonal c axis. For J parallel a, a sizable residual linear term kappa(0)/T is observed, as previously, which confirms the presence of line nodes in the superconducting gap. For J parallel c, on the other hand, kappa/T-->0 as T-->0. The resulting precipitous decline in the anisotropy ratio kappa(c)/kappa(a) at low temperature rules out a gap structure with line nodes running along the c axis, such as the d-wave state favored for CeCoIn5, and instead points to a hybrid gap of E(g) symmetry.
Collapse
Affiliation(s)
- H Shakeripour
- Département de physique and RQMP, Université de Sherbrooke, Sherbrooke J1K 2R1, Quebec, Canada
| | | | | | | | | |
Collapse
|
22
|
Li SY, Wu G, Chen XH, Taillefer L. Single-gap s-Wave superconductivity near the charge-density-wave quantum critical point in CuxTiSe2. Phys Rev Lett 2007; 99:107001. [PMID: 17930404 DOI: 10.1103/physrevlett.99.107001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/26/2007] [Indexed: 05/25/2023]
Abstract
The in-plane thermal conductivity kappa of the layered superconductor CuxTiSe2 was measured down to temperatures as low as Tc/40, at x=0.06 near where the charge-density-wave order vanishes. The absence of a residual linear term at T-->0 is strong evidence for conventional s-wave superconductivity in this system. This is further supported by the slow magnetic field dependence, also consistent with a single gap, of uniform magnitude across the Fermi surface. Comparison with the closely related material NbSe2, where the superconducting gap is 3 times larger on the Nb 4d band than on the Se 4p band, suggests that in Cu0.06TiSe2 the Se 4p band is below the Fermi level and Cu doping into the Ti 3d band is responsible for the superconductivity.
Collapse
Affiliation(s)
- S Y Li
- Département de physique and RQMP, Université de Sherbrooke, Sherbrooke J1K 2R1, Canada
| | | | | | | |
Collapse
|
23
|
Doiron-Leyraud N, Proust C, LeBoeuf D, Levallois J, Bonnemaison JB, Liang R, Bonn DA, Hardy WN, Taillefer L. Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor. Nature 2007; 447:565-8. [PMID: 17538614 DOI: 10.1038/nature05872] [Citation(s) in RCA: 780] [Impact Index Per Article: 45.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2007] [Accepted: 04/18/2007] [Indexed: 11/09/2022]
Abstract
Despite twenty years of research, the phase diagram of high-transition-temperature superconductors remains enigmatic. A central issue is the origin of the differences in the physical properties of these copper oxides doped to opposite sides of the superconducting region. In the overdoped regime, the material behaves as a reasonably conventional metal, with a large Fermi surface. The underdoped regime, however, is highly anomalous and appears to have no coherent Fermi surface, but only disconnected 'Fermi arcs'. The fundamental question, then, is whether underdoped copper oxides have a Fermi surface, and if so, whether it is topologically different from that seen in the overdoped regime. Here we report the observation of quantum oscillations in the electrical resistance of the oxygen-ordered copper oxide YBa2Cu3O6.5, establishing the existence of a well-defined Fermi surface in the ground state of underdoped copper oxides, once superconductivity is suppressed by a magnetic field. The low oscillation frequency reveals a Fermi surface made of small pockets, in contrast to the large cylinder characteristic of the overdoped regime. Two possible interpretations are discussed: either a small pocket is part of the band structure specific to YBa2Cu3O6.5 or small pockets arise from a topological change at a critical point in the phase diagram. Our understanding of high-transition-temperature (high-T(c)) superconductors will depend critically on which of these two interpretations proves to be correct.
Collapse
|
24
|
Abstract
A quantum critical point transforms the behavior of electrons so strongly that new phases of matter can emerge. The interactions at play are known to fall outside the scope of the standard model of metals, but a fundamental question remains: Is the basic concept of a quasiparticle-a fermion with renormalized mass-still valid in such systems? The Wiedemann-Franz law, which states that the ratio of heat and charge conductivities in a metal is a universal constant in the limit of zero temperature, is a robust consequence of Fermi-Dirac statistics. We report a violation of this law in the heavy-fermion metal CeCoIn5 when tuned to its quantum critical point, depending on the direction of electron motion relative to the crystal lattice, which points to an anisotropic destruction of the Fermi surface.
Collapse
Affiliation(s)
- Makariy A Tanatar
- Département de Physique et RQMP, Université de Sherbrooke, Sherbrooke, Canada
| | | | | | | |
Collapse
|
25
|
Sutherland M, Doiron-Leyraud N, Taillefer L, Weller T, Ellerby M, Saxena SS. Bulk evidence for single-Gap s-wave superconductivity in the intercalated graphite superconductor C6Yb. Phys Rev Lett 2007; 98:067003. [PMID: 17358975 DOI: 10.1103/physrevlett.98.067003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/24/2006] [Indexed: 05/14/2023]
Abstract
We report measurements of the in-plane electrical resistivity rho and thermal conductivity kappa of the intercalated graphite superconductor C6Yb down to temperatures as low as Tc/100. When a field is applied along the c axis, the residual electronic linear term kappa0/T evolves in an exponential manner for Hc1<H<Hc2/2. This activated behavior is compelling evidence for an s-wave order parameter, and is a strong argument against the possible existence of multigap superconductivity.
Collapse
Affiliation(s)
- Mike Sutherland
- Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 OHE, United Kingdom
| | | | | | | | | | | |
Collapse
|
26
|
Doiron-Leyraud N, Sutherland M, Li SY, Taillefer L, Liang R, Bonn DA, Hardy WN. Onset of a Boson mode at the superconducting critical point of underdoped YBa2Cu3Oy. Phys Rev Lett 2006; 97:207001. [PMID: 17155707 DOI: 10.1103/physrevlett.97.207001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2006] [Indexed: 05/12/2023]
Abstract
The thermal conductivity kappa of underdoped YBa2Cu3Oy was measured in the T-->0 limit as a function of hole concentration p across the superconducting critical point at pSC identical with 5.0%. The evolution of bosonic and fermionic contributions to kappa was tracked as the doping level evolved continuously in each of our samples. For p< or =pSC, we observe a T3 component in kappa which we attribute to the boson excitations of a phase with long-range spin or charge order. Fermionic transport, observed as a T-linear term in kappa which persists unaltered through pSC, violates the Wiedemann-Franz law, since the electrical resistivity varies as log(1/T) and grows with decreasing p.
Collapse
|
27
|
Paglione J, Tanatar MA, Hawthorn DG, Ronning F, Hill RW, Sutherland M, Taillefer L, Petrovic C. Nonvanishing energy scales at the quantum critical point of CeCoIn5. Phys Rev Lett 2006; 97:106606. [PMID: 17025840 DOI: 10.1103/physrevlett.97.106606] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2004] [Revised: 05/04/2006] [Indexed: 05/12/2023]
Abstract
Heat and charge transport were used to probe the magnetic field-tuned quantum critical point in the heavy-fermion metal CeCoIn5. A comparison of electrical and thermal resistivities reveals three characteristic energy scales. A Fermi-liquid regime is observed below T(FL), with both transport coefficients diverging in parallel and T(FL) -->0 as H --> Hc, the critical field. The characteristic temperature of antiferromagnetic spin fluctuations, T(SF), is tuned to a minimum but finite value at Hc, which coincides with the end of the T-linear regime in the electrical resistivity. A third temperature scale, T(QP), signals the formation of quasiparticles, as fermions of charge e obeying the Wiedemann-Franz law. Unlike T(FL), it remains finite at Hc, so that the integrity of quasiparticles is preserved, even though the standard signature of Fermi-liquid theory fails.
Collapse
|
28
|
Ronning F, Hill RW, Sutherland M, Hawthorn DG, Tanatar MA, Paglione J, Taillefer L, Graf MJ, Perry RS, Maeno Y, Mackenzie AP. Thermal conductivity in the vicinity of the quantum critical end point in Sr3Ru2O7. Phys Rev Lett 2006; 97:067005. [PMID: 17026193 DOI: 10.1103/physrevlett.97.067005] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/13/2006] [Indexed: 05/12/2023]
Abstract
Thermal conductivity of Sr3Ru2O7 was measured down to 40 mK and at magnetic fields through the quantum critical end point at Hc=7.85 T. A peak in the electrical resistivity as a function of the field was mimicked by the thermal resistivity. In the limit as T-->0 K, we find that the Wiedemann-Franz law is satisfied to within 5% at all fields, implying that there is no breakdown of the electron despite the destruction of the Fermi liquid state at quantum criticality. A significant change in disorder [from rho0(H=0 T)=2.1 to 0.5 microOmega cm] does not influence our conclusions. At finite temperatures, the temperature dependence of the Lorenz number is consistent with ferromagnetic fluctuations causing the non-Fermi liquid behavior as one would expect at a metamagnetic quantum critical end point.
Collapse
Affiliation(s)
- F Ronning
- Department of Physics, University of Toronto, Toronto, Ontario, Canada
| | | | | | | | | | | | | | | | | | | | | |
Collapse
|
29
|
Li SY, Taillefer L, Wang CH, Chen XH. Ballistic magnon transport and phonon scattering in the antiferromagnet Nd2CuO4. Phys Rev Lett 2005; 95:156603. [PMID: 16241747 DOI: 10.1103/physrevlett.95.156603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/11/2005] [Indexed: 05/05/2023]
Abstract
The thermal conductivity of the antiferromagnet Nd2CuO4 was measured down to 50 mK. Using the spin-flop transition to switch on and off the acoustic Nd magnons, we can reliably separate the magnon and phonon contributions to heat transport. We find that magnons travel ballistically below 0.5 K, with a thermal conductivity growing as T3, from which we extract their velocity. We show that the rate of scattering of acoustic magnons by phonons grows as T3, and the scattering of phonons by magnons peaks at twice the average Nd magnon frequency.
Collapse
Affiliation(s)
- S Y Li
- Regroupement Québécois sur les Matériaux de Pointe, Département de physique, Université de Sherbrooke, Sherbrooke, Canada
| | | | | | | |
Collapse
|
30
|
Tanatar MA, Paglione J, Nakatsuji S, Hawthorn DG, Boaknin E, Hill RW, Ronning F, Sutherland M, Taillefer L, Petrovic C, Canfield PC, Fisk Z. Unpaired electrons in the heavy-fermion superconductor CeCoIn5. Phys Rev Lett 2005; 95:067002. [PMID: 16090981 DOI: 10.1103/physrevlett.95.067002] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/11/2005] [Indexed: 05/03/2023]
Abstract
Thermal conductivity and specific heat were measured in the superconducting state of the heavy-fermion material Ce(1-x)La(x)CoIn5. With increasing impurity concentration x, the suppression of T(c) is accompanied by the increase in residual electronic specific heat expected of a d-wave superconductor, but it occurs in parallel with a decrease in residual electronic thermal conductivity. This contrasting behavior reveals the presence of uncondensed electrons coexisting with nodal quasiparticles. An extreme multiband scenario is proposed, with a d-wave superconducting gap on the heavy-electron sheets of the Fermi surface and a negligible gap on the light, three-dimensional pockets.
Collapse
Affiliation(s)
- M A Tanatar
- Department of Physics, University of Toronto, Toronto, Ontario, Canada.
| | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
31
|
Paglione J, Tanatar MA, Hawthorn DG, Hill RW, Ronning F, Sutherland M, Taillefer L, Petrovic C, Canfield PC. Heat transport as a probe of electron scattering by spin fluctuations: the case of antiferromagnetic CeRhIn(5). Phys Rev Lett 2005; 94:216602. [PMID: 16090337 DOI: 10.1103/physrevlett.94.216602] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/07/2004] [Indexed: 05/03/2023]
Abstract
Heat and charge conduction were measured in the heavy-fermion metal CeRhIn(5), an antiferromagnet with T(N)=3.8 K. The thermal resistivity is found to be proportional to the magnetic entropy, revealing that spin fluctuations are as effective in scattering electrons as they are in disordering local moments. The electrical resistivity, governed by a q(2) weighting of fluctuations, increases monotonically with temperature. In contrast, the difference between thermal and electrical resistivities, characterized by a omega(2) weighting, peaks sharply at T(N) and eventually goes to zero at a temperature T(*) approximately = 8 K. T(*) thus emerges as a measure of the characteristic energy of magnetic fluctuations.
Collapse
|
32
|
Sutherland M, Li SY, Hawthorn DG, Hill RW, Ronning F, Tanatar MA, Paglione J, Zhang H, Taillefer L, DeBenedictis J, Liang R, Bonn DA, Hardy WN. Delocalized fermions in underdoped cuprate superconductors. Phys Rev Lett 2005; 94:147004. [PMID: 15904097 DOI: 10.1103/physrevlett.94.147004] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2004] [Indexed: 05/02/2023]
Abstract
Low-temperature heat transport was used to investigate the ground state of high-purity single crystals of the lightly doped cuprate YBa2Cu3O6.33. Samples were measured with doping concentrations on either side of the superconducting phase boundary. We report the observation of delocalized fermionic excitations at zero energy in the nonsuperconducting state, which shows that the ground state of underdoped cuprates is a thermal metal. Its low-energy spectrum appears to be similar to that of the d-wave superconductor, i.e., nodal. The insulating ground state observed in underdoped La2-xSrxCuO4 is attributed to the competing spin-density-wave order.
Collapse
Affiliation(s)
- Mike Sutherland
- Department of Physics, University of Toronto, Toronto, Ontario, Canada
| | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
33
|
Li SY, Taillefer L, Hawthorn DG, Tanatar MA, Paglione J, Sutherland M, Hill RW, Wang CH, Chen XH. Giant electron-electron scattering in the Fermi-liquid state of Na0.7CoO2. Phys Rev Lett 2004; 93:056401. [PMID: 15323717 DOI: 10.1103/physrevlett.93.056401] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/19/2003] [Indexed: 05/24/2023]
Abstract
The in-plane resistivity rho and thermal conductivity kappa of single crystal Na0.7CoO2 were measured down to 40 mK. Verification of the Wiedemann-Franz law, kappa/T=L(0)/rho as T-->0, and observation of a T2 dependence of rho at low temperature establish the existence of a well-defined Fermi-liquid state. The measured value of coefficient A reveals enormous electron-electron scattering, characterized by the largest Kadowaki-Woods ratio A/gamma(2) encountered in any material. The rapid suppression of A with magnetic field suggests a possible proximity to a magnetic quantum critical point. We also speculate on the possible role of magnetic frustration and proximity to a Mott insulator.
Collapse
Affiliation(s)
- S Y Li
- Département de physique, Université de Sherbrooke, Sherbrooke, Québec, Canada
| | | | | | | | | | | | | | | | | |
Collapse
|
34
|
Hill RW, Lupien C, Sutherland M, Boaknin E, Hawthorn DG, Proust C, Ronning F, Taillefer L, Liang R, Bonn DA, Hardy WN. Transport in ultraclean YBa2Cu3O7: neither unitary nor born impurity scattering. Phys Rev Lett 2004; 92:027001. [PMID: 14753959 DOI: 10.1103/physrevlett.92.027001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2003] [Indexed: 05/24/2023]
Abstract
The thermal conductivity of ultraclean YBa2Cu3O7 was measured at very low temperature in magnetic fields up to 13 T. The temperature and field dependence of the electronic heat conductivity show that two widespread assumptions of transport theory applied to unconventional superconductors fail for clean cuprates: impurity scattering cannot be treated in the usual unitary limit (nor indeed in the Born limit), and scattering of quasiparticles off vortices cannot be neglected. Our study also sheds light on the long-standing puzzle of a sudden onset of a "plateau" in the thermal conductivity of Bi-2212 versus field.
Collapse
Affiliation(s)
- R W Hill
- Department of Physics, University of Toronto, Toronto, Ontario, Canada
| | | | | | | | | | | | | | | | | | | | | |
Collapse
|
35
|
Paglione J, Tanatar MA, Hawthorn DG, Boaknin E, Hill RW, Ronning F, Sutherland M, Taillefer L, Petrovic C, Canfield PC. Field-induced quantum critical point in CeCoIn5. Phys Rev Lett 2003; 91:246405. [PMID: 14683139 DOI: 10.1103/physrevlett.91.246405] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/19/2002] [Indexed: 05/24/2023]
Abstract
The resistivity of the heavy-fermion superconductor CeCoIn5 was measured as a function of temperature, down to 25 mK and in magnetic fields of up to 16 T applied perpendicular to the basal plane. With increasing field, we observe a suppression of the non-Fermi liquid behavior, rho approximately T, and the development of a Fermi liquid state, with its characteristic rho=rho(0)+AT2 dependence. The field dependence of the T2 coefficient shows critical behavior with an exponent of 1.37. This is evidence for a field-induced quantum critical point (QCP), occurring at a critical field which coincides, within experimental accuracy, with the superconducting critical field H(c2). We discuss the relation of this field-tuned QCP to a change in the magnetic state, seen as a change in magnetoresistance from positive to negative, at a crossover line that has a common border with the superconducting region below approximately 1 K.
Collapse
Affiliation(s)
- Johnpierre Paglione
- Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7.
| | | | | | | | | | | | | | | | | | | |
Collapse
|
36
|
Doiron-Leyraud N, Walker IR, Taillefer L, Steiner MJ, Julian SR, Lonzarich GG. Fermi-liquid breakdown in the paramagnetic phase of a pure metal. Nature 2003; 425:595-9. [PMID: 14534580 DOI: 10.1038/nature01968] [Citation(s) in RCA: 162] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2003] [Accepted: 07/30/2003] [Indexed: 11/09/2022]
Abstract
Fermi-liquid theory (the standard model of metals) has been challenged by the discovery of anomalous properties in an increasingly large number of metals. The anomalies often occur near a quantum critical point--a continuous phase transition in the limit of absolute zero, typically between magnetically ordered and paramagnetic phases. Although not understood in detail, unusual behaviour in the vicinity of such quantum critical points was anticipated nearly three decades ago by theories going beyond the standard model. Here we report electrical resistivity measurements of the 3d metal MnSi, indicating an unexpected breakdown of the Fermi-liquid model--not in a narrow crossover region close to a quantum critical point where it is normally expected to fail, but over a wide region of the phase diagram near a first-order magnetic transition. In this regime, corrections to the Fermi-liquid model are expected to be small. The range in pressure, temperature and applied magnetic field over which we observe an anomalous temperature dependence of the electrical resistivity in MnSi is not consistent with the crossover behaviour widely seen in quantum critical systems. This may suggest the emergence of a well defined but enigmatic quantum phase of matter.
Collapse
Affiliation(s)
- N Doiron-Leyraud
- Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, UK.
| | | | | | | | | | | |
Collapse
|
37
|
Hawthorn DG, Hill RW, Proust C, Ronning F, Sutherland M, Boaknin E, Lupien C, Tanatar MA, Paglione J, Wakimoto S, Zhang H, Taillefer L, Kimura T, Nohara M, Takagi H, Hussey NE. Field-induced thermal metal-to-insulator transition in underdoped La(2-x)Sr(x)CuO(4+delta). Phys Rev Lett 2003; 90:197004. [PMID: 12785975 DOI: 10.1103/physrevlett.90.197004] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/24/2002] [Indexed: 05/24/2023]
Abstract
The transport of heat and charge in cuprates was measured in single crystals of La(2-x)Sr(x)CuO(4+delta) (LSCO) across the doping phase diagram at low temperatures. In underdoped LSCO, the thermal conductivity is found to decrease with increasing magnetic field in the T-->0 limit, in striking contrast to the increase observed in all superconductors, including cuprates at higher doping. In heavily underdoped LSCO, where superconductivity can be entirely suppressed with an applied magnetic field, we show that a novel thermal metal-to-insulator transition takes place upon going from the superconducting state to the field-induced normal state.
Collapse
Affiliation(s)
- D G Hawthorn
- Department of Physics, University of Toronto, Toronto, Ontario, Canada
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
38
|
Boaknin E, Tanatar MA, Paglione J, Hawthorn D, Ronning F, Hill RW, Sutherland M, Taillefer L, Sonier J, Hayden SM, Brill JW. Heat conduction in the vortex state of NbSe2: evidence for multiband superconductivity. Phys Rev Lett 2003; 90:117003. [PMID: 12688957 DOI: 10.1103/physrevlett.90.117003] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/15/2002] [Indexed: 05/24/2023]
Abstract
The thermal conductivity kappa of the layered s-wave superconductor NbSe2 was measured down to T(c)/100 throughout the vortex state. With increasing field, we identify two regimes: one with localized states at fields very near H(c1) and one with highly delocalized quasiparticle excitations at higher fields. The two associated length scales are naturally explained as multiband superconductivity, with distinct small and large superconducting gaps on different sheets of the Fermi surface. This behavior is compared to that of the multiband superconductor MgB2 and the conventional superconductor V3Si.
Collapse
Affiliation(s)
- Etienne Boaknin
- Department of Physics, University of Toronto, Toronto, Ontario, Canada
| | | | | | | | | | | | | | | | | | | | | |
Collapse
|
39
|
Proust C, Boaknin E, Hill RW, Taillefer L, Mackenzie AP. Heat transport in a strongly overdoped cuprate: Fermi liquid and a pure d-wave BCS superconductor. Phys Rev Lett 2002; 89:147003. [PMID: 12366068 DOI: 10.1103/physrevlett.89.147003] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/06/2002] [Indexed: 05/23/2023]
Abstract
The transport of heat and charge in the overdoped cuprate superconductor Tl(2)Ba2CuO(6+delta) was measured down to low temperature. In the normal state, obtained by applying a magnetic field greater than the upper critical field, the Wiedemann-Franz law is verified to hold perfectly. In the superconducting state, a large residual linear term is observed in the thermal conductivity, in quantitative agreement with BCS theory for a d-wave superconductor. This is compelling evidence that the electrons in overdoped cuprates form a Fermi liquid, with no indication of spin-charge separation.
Collapse
Affiliation(s)
- Cyril Proust
- Canadian Institute for Advanced Research, Department of Physics, University of Toronto, Toronto, Ontario, Canada
| | | | | | | | | |
Collapse
|
40
|
Abstract
The behaviour of electrons in solids is well described by Landau's Fermi-liquid theory, which predicts that although electrons in a metal interact, they can still be treated as well defined fermions, which are called 'quasiparticles'. At low temperatures, the ability of quasiparticles to transport heat is given strictly by their ability to transport charge, as described by a universal relation known as the Wiedemann-Franz law, which hitherto no material has been known to violate. High-temperature superconductors have long been thought to fall outside the realm of Fermi-liquid theory, as suggested by several anomalous properties, but this has yet to be shown conclusively. Here we report an experimental test of the Wiedemann-Franz law in the normal state of a copper-oxide superconductor, (Pr,Ce)2CuO4, which reveals that the elementary excitations that carry heat in this material are not fermions. This is compelling evidence for the breakdown of Fermi-liquid theory in high-temperature superconductors.
Collapse
Affiliation(s)
- R W Hill
- Canadian Institute for Advanced Research, Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
| | | | | | | | | |
Collapse
|
41
|
Boaknin E, Hill RW, Proust C, Lupien C, Taillefer L, Canfield PC. Highly anisotropic gap function in borocarbide superconductor LuNi(2)B(2)C. Phys Rev Lett 2001; 87:237001. [PMID: 11736470 DOI: 10.1103/physrevlett.87.237001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2001] [Indexed: 05/23/2023]
Abstract
The thermal conductivity of borocarbide superconductor LuNi(2)B(2)C was measured down to 70 mK (T(c)/200) in a magnetic field perpendicular to the heat current from H = 0 to above H(c2) = 7 T. As soon as vortices enter the sample, the conduction at T-->0 grows rapidly, showing unambiguously that delocalized quasiparticles are present at the lowest energies. The field dependence is very similar to that of UPt(3), a heavy-fermion superconductor with a line of nodes in the gap, and very different from the exponential dependence characteristic of s-wave superconductors. This is strong evidence for a highly anisotropic gap function in LuNi(2)B(2)C, possibly with nodes.
Collapse
Affiliation(s)
- E Boaknin
- Canadian Institute for Advanced Research, Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
| | | | | | | | | | | |
Collapse
|
42
|
Zhukov AA, de Groot PA, Kokkaliaris S, di Nicolo E, Jansen AG, Mossang E, Martinez G, Wyder P, Wolf T, Küpfer H, Asaoka H, Gagnon R, Taillefer L. History effects and phase diagram near the lower critical point in YBa2Cu3O7 single crystals. Phys Rev Lett 2001; 87:017006. [PMID: 11461490 DOI: 10.1103/physrevlett.87.017006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/07/2000] [Indexed: 05/23/2023]
Abstract
Using a sensitive torque magnetometer we have studied magnetization curves for untwinned overdoped YBa2Cu3O7 single crystals in fields of up to 28 T. We demonstrate the existence of history effects below the lower critical point and provide a full demarcation of the Bragg-glass phase. A pronounced symmetry is observed in the behavior of the phase lines, irreversible magnetization, and value of the magnetization jump near both critical points.
Collapse
Affiliation(s)
- A A Zhukov
- Department of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
43
|
Lupien C, MacFarlane WA, Proust C, Taillefer L, Mao ZQ, Maeno Y. Ultrasound attenuation in Sr(2)RuO(4): an angle-resolved study of the superconducting gap function. Phys Rev Lett 2001; 86:5986-5989. [PMID: 11415410 DOI: 10.1103/physrevlett.86.5986] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/19/2001] [Indexed: 05/23/2023]
Abstract
We present a study of the electronic ultrasound attenuation alpha in the unconventional superconductor Sr(2)RuO(4). The power law behavior of alpha at temperatures down to T(c)/30 clearly indicates the presence of nodes in the gap. In the normal state, we find an enormous anisotropy of alpha in the basal plane of the tetragonal structure. In the superconducting state, the temperature dependence of alpha also exhibits significant anisotropy. We discuss these results in relation to possible gap functions.
Collapse
Affiliation(s)
- C Lupien
- Canadian Institute for Advanced Research, Department of Physics, University of Toronto, Toronto, Canada M5S 1A7
| | | | | | | | | | | |
Collapse
|
44
|
Lonzarich GG, Taillefer L. Effect of spin fluctuations on the magnetic equation of state of ferromagnetic or nearly ferromagnetic metals. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/18/22/017] [Citation(s) in RCA: 385] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
|
45
|
Gordeev SN, Zhukov AA, Jansen AG, Gagnon R, Taillefer L. Oscillatory melting temperature of the vortex smectic phase in layered superconductors. Phys Rev Lett 2000; 85:4594-4597. [PMID: 11082604 DOI: 10.1103/physrevlett.85.4594] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2000] [Indexed: 05/23/2023]
Abstract
We report on transport measurements of YBa 2Cu 3O (7-delta) single crystals with different oxygen contents in the geometry B, J ||ab (J perpendicularB). Our data show that the vortices become confined between the Cu-O planes below a well-defined temperature at which the effective size 2xi of the vortex core is approximately equal to the period of the Cu-O layers. This confinement strongly increases the vortex liquid freezing temperature. A new melting line is found separating a vortex liquid and a smectic phase, which shows an oscillatory field dependence reflecting differences between commensurate and incommensurate smectic states.
Collapse
Affiliation(s)
- SN Gordeev
- Department of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, United Kingdom
| | | | | | | | | |
Collapse
|
46
|
Zhang Y, Ong NP, Xu ZA, Krishana K, Gagnon R, Taillefer L. Determining the Wiedemann-Franz ratio from the thermal hall conductivity: application to Cu and YBa2Cu3O6.95. Phys Rev Lett 2000; 84:2219-2222. [PMID: 11017248 DOI: 10.1103/physrevlett.84.2219] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/21/1999] [Indexed: 05/23/2023]
Abstract
The Wiedemann-Franz (WF) ratio compares the thermal and electrical conductivities in a metal. We describe a new way to determine its value, based on the thermal Hall conductivity. The technique is applied to copper and to untwinned YBaCuO. In the latter, we uncover a T-linear dependence and suppression of the Hall-channel WF ratio. We discuss the implications of this suppression. The general suppression of the WF ratio in systems with predominant electron-electron scattering is discussed.
Collapse
Affiliation(s)
- Y Zhang
- Joseph Henry Laboratories of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | | | | | | | | | | |
Collapse
|
47
|
Ellman B, Taillefer L, Poirier M. Transverse ultrasound revisited: A directional probe of the A phase of UPt3. Phys Rev B Condens Matter 1996; 54:9043-9046. [PMID: 9984628 DOI: 10.1103/physrevb.54.9043] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
48
|
Ghamlouch H, Aubin M, Gagnon R, Taillefer L. Observation of vortex-lattice melting in YBa2Cu3O7- delta by Seebeck-effect measurements. Phys Rev B Condens Matter 1996; 54:9070-9073. [PMID: 9984635 DOI: 10.1103/physrevb.54.9070] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
|
49
|
Lussier B, Taillefer L, Buyers WJ, Mason TE, Petersen T. Influence of a magnetic field on the antiferromagnetic order in UPt3. Phys Rev B Condens Matter 1996; 54:R6873-R6876. [PMID: 9984402 DOI: 10.1103/physrevb.54.r6873] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
50
|
Oussena M, Deligiannis K, Volkozub AV, Gagnon R, Taillefer L. Vortex pinning by competing disorder: Bose-glass to vortex-glass crossover. Phys Rev Lett 1996; 76:2559-2562. [PMID: 10060730 DOI: 10.1103/physrevlett.76.2559] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|