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Karmakar M. Magnetotransport and Fermi surface segmentation in Pauli limited superconductors. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2024; 36:165601. [PMID: 38190740 DOI: 10.1088/1361-648x/ad1bf6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2023] [Accepted: 01/08/2024] [Indexed: 01/10/2024]
Abstract
We report the first theoretical investigation of the spectroscopic, electrical and optical transport signatures ofd-wave Pauli limited superconductors, based on a non perturbative numerical approach. We demonstrate that the high magnetic field low temperature regime of these materials host a finite momentum paired superconducting phase. Multi-branched dispersion spectra with finite energy superconducting gaps, anisotropic segmentation of the Fermi surface and spatial modulations of the superconducting order characterizes this finite momentum paired phase and should be readily accessible through angle resolved photo emission spectroscopy, quasiparticle interference and differential conductance measurements. Based on the electrical and optical transport properties we capture the non Fermi liquid behavior of these systems at high temperatures, dominated by local superconducting correlations and characterized by resilient quasiparticles which survive the breakdown of the Fermi liquid description. We map out the generic thermal phase diagram of thed-wave Pauli limited superconductors and provide for the first time the accurate estimates of the thermal scales corresponding to the: (a) loss of (quasi) long range superconducting phase coherence (Tc), (b) loss of local pair correlations (Tpg), (c) breakdown of the Fermi liquid theory (Tmax) and cross-over from the non Fermi liquid to the bad metallic phase (TBR). Our thermal phase diagram mapped out on the basis of the spectroscopic and transport properties are found to be in qualitative agreement with the experimental observations on CeCoIn5andκ-BEDT, in terms of the thermodynamic phases and the phase transitions. The results presented in this paper are expected to initiate important transport and spectroscopic experiments on the Pauli limitedd-wave superconductors, providing sharp signatures of the finite momentum Cooper paired state in these materials.
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Affiliation(s)
- Madhuparna Karmakar
- Department of Physics and Nanotechnology, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai, 603203, India
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Kinjo K, Manago M, Kitagawa S, Mao ZQ, Yonezawa S, Maeno Y, Ishida K. Superconducting spin smecticity evidencing the Fulde-Ferrell-Larkin-Ovchinnikov state in Sr 2RuO 4. Science 2022; 376:397-400. [PMID: 35446631 DOI: 10.1126/science.abb0332] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Translational symmetry breaking is antagonistic to static fluidity but can be realized in superconductors, which host a quantum-mechanical coherent fluid formed by electron pairs. A peculiar example of such a state is the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, induced by a time-reversal symmetry-breaking magnetic field applied to spin-singlet superconductors. This state is intrinsically accompanied by the superconducting spin smecticity, spin density-modulated fluidity with spontaneous translational-symmetry breaking. Detection of such spin smecticity provides unambiguous evidence for the FFLO state, but its observation has been challenging. Here, we report the characteristic "double-horn" nuclear magnetic resonance spectrum in the layered superconductor Sr2RuO4 near its upper critical field, indicating the spatial sinusoidal modulation of spin density that is consistent with superconducting spin smecticity. Our work reveals that Sr2RuO4 provides a versatile platform for studying FFLO physics.
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Affiliation(s)
- K Kinjo
- Department of Physics, Graduate School of Science, Kyoto University, Kyoto, Japan
| | - M Manago
- Department of Physics, Graduate School of Science, Kyoto University, Kyoto, Japan
| | | | - Z Q Mao
- Department of Physics, Pennsylvania State University, State College, PA, USA
| | - S Yonezawa
- Department of Physics, Graduate School of Science, Kyoto University, Kyoto, Japan
| | - Y Maeno
- Department of Physics, Graduate School of Science, Kyoto University, Kyoto, Japan
| | - K Ishida
- Department of Physics, Graduate School of Science, Kyoto University, Kyoto, Japan
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Distinct domain switching in Nd 0.05Ce 0.95CoIn 5 at low and high fields. Sci Rep 2018; 8:1295. [PMID: 29358702 PMCID: PMC5778004 DOI: 10.1038/s41598-018-19555-z] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/24/2017] [Accepted: 01/03/2018] [Indexed: 11/08/2022] Open
Abstract
Nd0.05Ce0.95CoIn5 features a magnetic field-driven quantum phase transition that separates two antiferromagnetic phases with an identical magnetic structure inside the superconducting condensate. Using neutron diffraction we demonstrate that the population of the two magnetic domains in the two phases is affected differently by the rotation of the magnetic field in the tetragonal basal plane. In the low-field SDW-phase the domain population is only weakly affected while in the high-field Q-phase they undergo a sharp switch for fields around the a-axis. Our results provide evidence that the anisotropic spin susceptibility in both phases arises ultimately from spin-orbit interactions but are qualitatively different in the two phases. This provides evidence that the electronic structure is changed at the quantum phase transition, which yields a modified coupling between magnetism and superconductivity in the Q-phase.
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Mazzone DG, Raymond S, Gavilano JL, Steffens P, Schneidewind A, Lapertot G, Kenzelmann M. Spin Resonance and Magnetic Order in an Unconventional Superconductor. PHYSICAL REVIEW LETTERS 2017; 119:187002. [PMID: 29219605 DOI: 10.1103/physrevlett.119.187002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2017] [Indexed: 06/07/2023]
Abstract
Unconventional superconductivity in many materials is believed to be mediated by magnetic fluctuations. It is an open question how magnetic order can emerge from a superconducting condensate and how it competes with the magnetic spin resonance in unconventional superconductors. Here we study a model d-wave superconductor that develops spin-density wave order, and find that the spin resonance is unaffected by the onset of static magnetic order. This result suggests a scenario, in which the resonance in Nd_{0.05}Ce_{0.95}CoIn_{5} is a longitudinal mode with fluctuating moments along the ordered magnetic moments.
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Affiliation(s)
- D G Mazzone
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - S Raymond
- Univ. Grenoble Alpes and CEA, INAC, MEM, F-38000 Grenoble, France
| | - J L Gavilano
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - P Steffens
- Institut Laue-Langevin, 38042 Grenoble, France
| | - A Schneidewind
- Jülich Center for Neutron Science JCNS, Forschungszentrum Jülich GmbH, Outstation at MLZ, D-85747 Garching, Germany
| | - G Lapertot
- Univ. Grenoble Alpes and CEA, INAC, PHELIQS, F-38000 Grenoble, France
| | - M Kenzelmann
- Laboratory for Scientific Developments and Novel Materials, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
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Mazzone DG, Raymond S, Gavilano JL, Ressouche E, Niedermayer C, Birk JO, Ouladdiaf B, Bastien G, Knebel G, Aoki D, Lapertot G, Kenzelmann M. Field-induced magnetic instability within a superconducting condensate. SCIENCE ADVANCES 2017; 3:e1602055. [PMID: 28560326 PMCID: PMC5438216 DOI: 10.1126/sciadv.1602055] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/29/2016] [Accepted: 03/20/2017] [Indexed: 06/07/2023]
Abstract
The application of magnetic fields, chemical substitution, or hydrostatic pressure to strongly correlated electron materials can stabilize electronic phases with different organizational principles. We present evidence for a field-induced quantum phase transition, in superconducting Nd0.05Ce0.95CoIn5, that separates two antiferromagnetic phases with identical magnetic symmetry. At zero field, we find a spin-density wave that is suppressed at the critical field μ0H* = 8 T. For H > H*, a spin-density phase emerges and shares many properties with the Q phase in CeCoIn5. These results suggest that the magnetic instability is not magnetically driven, and we propose that it is driven by a modification of superconducting condensate at H*.
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Affiliation(s)
- Daniel Gabriel Mazzone
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - Stéphane Raymond
- Institute for Nanosciences and Cryogenics, Commissariat à l’Energie Atomique et aux Energies Alternatives, Université Grenoble Alpes, 38054 Grenoble, France
| | - Jorge Luis Gavilano
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - Eric Ressouche
- Institute for Nanosciences and Cryogenics, Commissariat à l’Energie Atomique et aux Energies Alternatives, Université Grenoble Alpes, 38054 Grenoble, France
| | - Christof Niedermayer
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - Jonas Okkels Birk
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
- Department of Physics, Technical University of Denmark (DTU), DK-2800 Kongens Lyngby, Denmark
| | | | - Gaël Bastien
- Institute for Nanosciences and Cryogenics, Commissariat à l’Energie Atomique et aux Energies Alternatives, Université Grenoble Alpes, 38054 Grenoble, France
| | - Georg Knebel
- Institute for Nanosciences and Cryogenics, Commissariat à l’Energie Atomique et aux Energies Alternatives, Université Grenoble Alpes, 38054 Grenoble, France
| | - Dai Aoki
- Institute for Nanosciences and Cryogenics, Commissariat à l’Energie Atomique et aux Energies Alternatives, Université Grenoble Alpes, 38054 Grenoble, France
| | - Gérard Lapertot
- Institute for Nanosciences and Cryogenics, Commissariat à l’Energie Atomique et aux Energies Alternatives, Université Grenoble Alpes, 38054 Grenoble, France
| | - Michel Kenzelmann
- Laboratory for Scientific Developments and Novel Materials, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
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