1
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Song CL, Main EJ, Simmons F, Liu S, Phillabaum B, Dahmen KA, Hudson EW, Hoffman JE, Carlson EW. Critical nematic correlations throughout the superconducting doping range in Bi 2-zPb zSr 2-yLa yCuO 6+x. Nat Commun 2023; 14:2622. [PMID: 37147296 PMCID: PMC10162959 DOI: 10.1038/s41467-023-38249-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2022] [Accepted: 04/17/2023] [Indexed: 05/07/2023] Open
Abstract
Charge modulations have been widely observed in cuprates, suggesting their centrality for understanding the high-Tc superconductivity in these materials. However, the dimensionality of these modulations remains controversial, including whether their wavevector is unidirectional or bidirectional, and also whether they extend seamlessly from the surface of the material into the bulk. Material disorder presents severe challenges to understanding the charge modulations through bulk scattering techniques. We use a local technique, scanning tunneling microscopy, to image the static charge modulations on Bi2-zPbzSr2-yLayCuO6+x. The ratio of the phase correlation length ξCDW to the orientation correlation length ξorient points to unidirectional charge modulations. By computing new critical exponents at free surfaces including that of the pair connectivity correlation function, we show that these locally 1D charge modulations are actually a bulk effect resulting from classical 3D criticality of the random field Ising model throughout the entire superconducting doping range.
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Affiliation(s)
- Can-Li Song
- Department of Physics, Harvard University, Cambridge, MA, 02138, USA
| | - Elizabeth J Main
- Department of Physics, Harvard University, Cambridge, MA, 02138, USA
| | - Forrest Simmons
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA
- Purdue Quantum Science and Engineering Institute, West Lafayette, IN, 47907, USA
| | - Shuo Liu
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA
| | - Benjamin Phillabaum
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA
| | - Karin A Dahmen
- Department of Physics, University of Illinois, Urbana-Champaign, IL, 61801, USA
| | - Eric W Hudson
- Department of Physics, The Pennsylvania State University, University Park, PA, 16802, USA
| | | | - Erica W Carlson
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA.
- Purdue Quantum Science and Engineering Institute, West Lafayette, IN, 47907, USA.
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2
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Unconventional short-range structural fluctuations in cuprate superconductors. Sci Rep 2022; 12:20483. [DOI: 10.1038/s41598-022-22150-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2022] [Accepted: 10/10/2022] [Indexed: 11/29/2022] Open
Abstract
AbstractThe interplay between structural and electronic degrees of freedom in complex materials is the subject of extensive debate in physics and materials science. Particularly interesting questions pertain to the nature and extent of pre-transitional short-range order in diverse systems ranging from shape-memory alloys to unconventional superconductors, and how this microstructure affects macroscopic properties. Here we use neutron and X-ray diffuse scattering to uncover universal structural fluctuations in La2-xSrxCuO4 and Tl2Ba2CuO6+δ, two cuprate superconductors with distinct point disorder effects and with optimal superconducting transition temperatures that differ by more than a factor of two. The fluctuations are present in wide doping and temperature ranges, including compositions that maintain high average structural symmetry, and they exhibit unusual, yet simple scaling behaviour. The scaling regime is robust and universal, similar to the well-known critical fluctuations close to second-order phase transitions, but with a distinctly different physical origin. We relate this behaviour to pre-transitional phenomena in a broad class of systems with structural and magnetic transitions, and propose an explanation based on rare structural fluctuations caused by intrinsic nanoscale inhomogeneity. We also uncover parallels with superconducting fluctuations, which indicates that the underlying inhomogeneity plays an important role in cuprate physics.
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3
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Vatansever E, Vatansever ZD, Theodorakis PE, Fytas NG. Ising universality in the two-dimensional Blume-Capel model with quenched random crystal field. Phys Rev E 2020; 102:062138. [PMID: 33466068 DOI: 10.1103/physreve.102.062138] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2020] [Accepted: 12/04/2020] [Indexed: 06/12/2023]
Abstract
Using high-precision Monte Carlo simulations based on a parallel version of the Wang-Landau algorithm and finite-size scaling techniques, we study the effect of quenched disorder in the crystal-field coupling of the Blume-Capel model on a square lattice. We mainly focus on the part of the phase diagram where the pure model undergoes a continuous transition, known to fall into the universality class of a pure Ising ferromagnet. A dedicated scaling analysis reveals concrete evidence in favor of the strong universality hypothesis with the presence of additional logarithmic corrections in the scaling of the specific heat. Our results are in agreement with an early real-space renormalization-group study of the model as well as a very recent numerical work where quenched randomness was introduced in the energy exchange coupling. Finally, by properly fine tuning the control parameters of the randomness distribution we also qualitatively investigate the part of the phase diagram where the pure model undergoes a first-order phase transition. For this region, preliminary evidence indicate a smoothing of the transition to second-order with the presence of strong scaling corrections.
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Affiliation(s)
- Erol Vatansever
- Department of Physics, Dokuz Eylül University, TR-35160 Izmir, Turkey
| | | | | | - Nikolaos G Fytas
- Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, United Kingdom
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4
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Bastiaans KM, Benschop T, Chatzopoulos D, Cho D, Dong Q, Jin Y, Allan MP. Amplifier for scanning tunneling microscopy at MHz frequencies. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2018; 89:093709. [PMID: 30278769 DOI: 10.1063/1.5043267] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/07/2018] [Accepted: 09/09/2018] [Indexed: 06/08/2023]
Abstract
Conventional scanning tunneling microscopy (STM) is limited to a bandwidth of a few kHz around DC. Here, we develop, build, and test a novel amplifier circuit capable of measuring the tunneling current in the MHz regime while simultaneously performing conventional STM measurements. This is achieved with an amplifier circuit including a LC tank with a quality factor exceeding 600 and a home-built, low-noise high electron mobility transistor. The amplifier circuit functions while simultaneously scanning with atomic resolution in the tunneling regime, i.e., at junction resistances in the range of giga-ohms, and down towards point contact spectroscopy. To enable high signal-to-noise ratios and meet all technical requirements for the inclusion in a commercial low temperature, ultra-high vacuum STM, we use superconducting cross-wound inductors and choose materials and circuit elements with low heat load. We demonstrate the high performance of the amplifier by spatially mapping the Poissonian noise of tunneling electrons on an atomically clean Au(111) surface. We also show differential conductance spectroscopy measurements at 3 MHz, demonstrating superior performance over conventional spectroscopy techniques. Further, our technology could be used to perform impedance matched spin resonance and distinguish Majorana modes from more conventional edge states.
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Affiliation(s)
- K M Bastiaans
- Leiden Institute of Physics, Leiden University, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
| | - T Benschop
- Leiden Institute of Physics, Leiden University, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
| | - D Chatzopoulos
- Leiden Institute of Physics, Leiden University, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
| | - D Cho
- Leiden Institute of Physics, Leiden University, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
| | - Q Dong
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Univ. Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - Y Jin
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Univ. Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - M P Allan
- Leiden Institute of Physics, Leiden University, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
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5
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Fytas NG, Zierenberg J, Theodorakis PE, Weigel M, Janke W, Malakis A. Universality from disorder in the random-bond Blume-Capel model. Phys Rev E 2018; 97:040102. [PMID: 29758610 DOI: 10.1103/physreve.97.040102] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2017] [Indexed: 01/23/2023]
Abstract
Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field coupling is softened to become continuous, with a divergent correlation length. An analysis of the scaling of the correlation length as well as the susceptibility and specific heat reveals that it belongs to the universality class of the Ising model with additional logarithmic corrections which is also observed for the Ising model itself if coupled to weak disorder. While the leading scaling behavior of the disordered system is therefore identical between the second-order and first-order segments of the phase diagram of the pure model, the finite-size scaling in the ex-first-order regime is affected by strong transient effects with a crossover length scale L^{*}≈32 for the chosen parameters.
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Affiliation(s)
- N G Fytas
- Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom
| | - J Zierenberg
- Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany.,Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany.,Bernstein Center for Computational Neuroscience, 37077 Göttingen, Germany
| | - P E Theodorakis
- Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland
| | - M Weigel
- Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom
| | - W Janke
- Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany
| | - A Malakis
- Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom.,Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografou, Greece
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6
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Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point. Proc Natl Acad Sci U S A 2017; 114:4905-4910. [PMID: 28439023 DOI: 10.1073/pnas.1620651114] [Citation(s) in RCA: 42] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Using determinantal quantum Monte Carlo, we compute the properties of a lattice model with spin [Formula: see text] itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. The nematic fluctuations induce superconductivity with a broad dome in the superconducting [Formula: see text] enclosing the nematic quantum critical point. For temperatures above [Formula: see text], we see strikingly non-Fermi liquid behavior, including a "nodal-antinodal dichotomy" reminiscent of that seen in several transition metal oxides. In addition, the critical fluctuations have a strong effect on the low-frequency optical conductivity, resulting in behavior consistent with "bad metal" phenomenology.
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7
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Walmsley P, Fisher IR. Determination of the resistivity anisotropy of orthorhombic materials via transverse resistivity measurements. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2017; 88:043901. [PMID: 28456271 DOI: 10.1063/1.4978908] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Measurements of the resistivity anisotropy can provide crucial information about the electronic structure and scattering processes in anisotropic and low-dimensional materials, but quantitative measurements by conventional means often suffer very significant systematic errors. Here we describe a novel approach to measuring the resistivity anisotropy of orthorhombic materials, using a single crystal and a single measurement that is derived from a π4 rotation of the measurement frame relative to the crystallographic axes. In this new basis, the transverse resistivity gives a direct measurement of the resistivity anisotropy, which combined with the longitudinal resistivity also gives the in-plane elements of the conventional resistivity tensor via a 5-point contact geometry. This is demonstrated through application to the charge-density wave compound ErTe3, and it is concluded that this method presents a significant improvement on existing techniques, particularly when measuring small anisotropies.
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Affiliation(s)
- P Walmsley
- Geballe Laboratory for Advanced Materials and Department of Applied Physics, Stanford University, Stanford, California 94305-4045, USA
| | - I R Fisher
- Geballe Laboratory for Advanced Materials and Department of Applied Physics, Stanford University, Stanford, California 94305-4045, USA
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8
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Brodsky DO, Barber ME, Bruin JAN, Borzi RA, Grigera SA, Perry RS, Mackenzie AP, Hicks CW. Strain and vector magnetic field tuning of the anomalous phase in Sr 3Ru 2O 7. SCIENCE ADVANCES 2017; 3:e1501804. [PMID: 28168216 PMCID: PMC5291698 DOI: 10.1126/sciadv.1501804] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/11/2015] [Accepted: 12/19/2016] [Indexed: 06/06/2023]
Abstract
A major area of interest in condensed matter physics is the way electrons in correlated electron materials can self-organize into ordered states, and a particularly intriguing possibility is that they spontaneously choose a preferred direction of conduction. The correlated electron metal Sr3Ru2O7 has an anomalous phase at low temperatures that features strong susceptibility toward anisotropic transport. This susceptibility has been thought to indicate a spontaneous anisotropy, that is, electronic order that spontaneously breaks the point-group symmetry of the lattice, allowing weak external stimuli to select the orientation of the anisotropy. We investigate further by studying the response of Sr3Ru2O7 in the region of phase formation to two fields that lift the native tetragonal symmetry of the lattice: in-plane magnetic field and orthorhombic lattice distortion through uniaxial pressure. The response to uniaxial pressure is surprisingly strong: Compressing the lattice by ~0.1% induces an approximately 100% transport anisotropy. However, neither the in-plane field nor the pressure phase diagrams are qualitatively consistent with spontaneous symmetry reduction. Instead, both are consistent with a multicomponent order parameter that is likely to preserve the point-group symmetry of the lattice, but is highly susceptible to perturbation.
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Affiliation(s)
- Daniel O. Brodsky
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
| | - Mark E. Barber
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
| | - Jan A. N. Bruin
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
- Max Planck Institute for Solid State Physics, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Rodolfo A. Borzi
- Instituto de Física de Líquidos y Sistemas Biológicos, Universidad Nacional de La Plata–Consejo Nacional de Investigaciones Científicas y Técnicas, 1900 La Plata, Argentina
| | - Santiago A. Grigera
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
- Instituto de Física de Líquidos y Sistemas Biológicos, Universidad Nacional de La Plata–Consejo Nacional de Investigaciones Científicas y Técnicas, 1900 La Plata, Argentina
| | - Robin S. Perry
- London Centre for Nanotechnology, University College London, Gower Street, London WC1E 6BT, U.K
| | - Andrew P. Mackenzie
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
| | - Clifford W. Hicks
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
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9
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Barghathi H, Vojta T. Random field disorder at an absorbing state transition in one and two dimensions. Phys Rev E 2016; 93:022120. [PMID: 26986301 DOI: 10.1103/physreve.93.022120] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2015] [Indexed: 11/07/2022]
Abstract
We investigate the behavior of nonequilibrium phase transitions under the influence of disorder that locally breaks the symmetry between two symmetrical macroscopic absorbing states. In equilibrium systems such "random-field" disorder destroys the phase transition in low dimensions by preventing spontaneous symmetry breaking. In contrast, we show here that random-field disorder fails to destroy the nonequilibrium phase transition of the one- and two-dimensional generalized contact process. Instead, it modifies the dynamics in the symmetry-broken phase. Specifically, the dynamics in the one-dimensional case is described by a Sinai walk of the domain walls between two different absorbing states. In the two-dimensional case, we map the dynamics onto that of the well studied low-temperature random-field Ising model. We also study the critical behavior of the nonequilibrium phase transition and characterize its universality class in one dimension. We support our results by large-scale Monte Carlo simulations, and we discuss the applicability of our theory to other systems.
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Affiliation(s)
- Hatem Barghathi
- Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
| | - Thomas Vojta
- Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
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10
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Electronic polymers and soft-matter-like broken symmetries in underdoped cuprates. Nat Commun 2015; 6:7691. [PMID: 26144868 PMCID: PMC4506492 DOI: 10.1038/ncomms8691] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2014] [Accepted: 05/29/2015] [Indexed: 11/12/2022] Open
Abstract
Empirical evidence in heavy fermion, pnictide and other systems suggests that unconventional superconductivity appears associated to some form of real-space electronic order. For the cuprates, despite several proposals, the emergence of order in the phase diagram between the commensurate antiferromagnetic state and the superconducting state is not well understood. Here we show that in this regime doped holes assemble in ‘electronic polymers'. Within a Monte Carlo study, we find that in clean systems by lowering the temperature the polymer melt condenses first in a smectic state and then in a Wigner crystal both with the addition of inversion symmetry breaking. Disorder blurs the positional order leaving a robust inversion symmetry breaking and a nematic order, accompanied by vector chiral spin order and with the persistence of a thermodynamic transition. Such electronic phases, whose properties are reminiscent of soft-matter physics, produce charge and spin responses in good accord with experiments. High-Tc superconductivity is thought to be associated with spatial electronic ordering, which for cuprates is not well understood yet. Here the authors use Monte Carlo simulations to show the emergence of a soft-matter-like electronic phase between the antiferromagnetic and the superconducting states.
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11
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Kuo HH, Fisher IR. Effect of disorder on the resistivity anisotropy near the electronic nematic phase transition in pure and electron-doped BaFe(2)As(2). PHYSICAL REVIEW LETTERS 2014; 112:227001. [PMID: 24949785 DOI: 10.1103/physrevlett.112.227001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/04/2013] [Indexed: 06/03/2023]
Abstract
We show that the strain-induced resistivity anisotropy in the tetragonal state of the representative underdoped Fe arsenides BaFe_{2}As_{2}, Ba(Fe_{1-x}Co_{x})_{2}As_{2} and Ba(Fe_{1-x}Ni_{x})_{2}As_{2} is independent of disorder over a wide range of defect and impurity concentrations. This result demonstrates that the anisotropy in the in-plane resistivity in the paramagnetic orthorhombic state of this material is not due to elastic scattering from anisotropic defects. Conversely, our result can be most easily understood if the resistivity anisotropy arises primarily from an intrinsic anisotropy in the electronic structure.
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Affiliation(s)
- Hsueh-Hui Kuo
- Geballe Laboratory for Advanced Materials and Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA and Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - Ian R Fisher
- Geballe Laboratory for Advanced Materials and Department of Applied Physics, Stanford University, Stanford, California 94305, USA and Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
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12
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Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates. Proc Natl Acad Sci U S A 2014; 111:7980-5. [PMID: 24799709 DOI: 10.1073/pnas.1406019111] [Citation(s) in RCA: 57] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The cuprate high-temperature superconductors have been the focus of unprecedentedly intense and sustained study not only because of their high superconducting transition temperatures, but also because they represent the most exquisitely investigated examples of highly correlated electronic materials. In particular, the pseudogap regime of the phase diagram exhibits a variety of mysterious emergent behaviors. In the last few years, evidence from NMR and scanning tunneling microscopy (STM) studies, as well as from a new generation of X-ray scattering experiments, has accumulated, indicating that a general tendency to short-range-correlated incommensurate charge density wave (CDW) order is "intertwined" with the superconductivity in this regime. Additionally, transport, STM, neutron-scattering, and optical experiments have produced evidence--not yet entirely understood--of the existence of an associated pattern of long-range-ordered point-group symmetry breaking with an electron-nematic character. We have carried out a theoretical analysis of the Landau-Ginzburg-Wilson effective field theory of a classical incommensurate CDW in the presence of weak quenched disorder. Although the possibilities of a sharp phase transition and long-range CDW order are precluded in such systems, we show that any discrete symmetry-breaking aspect of the charge order--nematicity in the case of the unidirectional (stripe) CDW we consider explicitly--generically survives up to a nonzero critical disorder strength. Such "vestigial order," which is subject to unambiguous macroscopic detection, can serve as an avatar of what would be CDW order in the ideal, zero disorder limit. Various recent experiments in the pseudogap regime of the hole-doped cuprates are readily interpreted in light of these results.
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13
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Barghathi H, Vojta T. Random fields at a nonequilibrium phase transition. PHYSICAL REVIEW LETTERS 2012; 109:170603. [PMID: 23215170 DOI: 10.1103/physrevlett.109.170603] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/19/2012] [Indexed: 06/01/2023]
Abstract
We study nonequilibrium phase transitions in the presence of disorder that locally breaks the symmetry between two equivalent macroscopic states. In low-dimensional equilibrium systems, such random-field disorder is known to have dramatic effects: it prevents spontaneous symmetry breaking and completely destroys the phase transition. In contrast, we show that the phase transition of the one-dimensional generalized contact process persists in the presence of random-field disorder. The ultraslow dynamics in the symmetry-broken phase is described by a Sinai walk of the domain walls between two different absorbing states. We discuss the generality and limitations of our theory, and we illustrate our results by large-scale Monte Carlo simulations.
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Affiliation(s)
- Hatem Barghathi
- Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
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14
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Phillabaum B, Carlson E, Dahmen K. Spatial complexity due to bulk electronic nematicity in a superconducting underdoped cuprate. Nat Commun 2012; 3:915. [DOI: 10.1038/ncomms1920] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/14/2011] [Accepted: 05/18/2012] [Indexed: 11/09/2022] Open
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15
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Carlson E, Dahmen K. Using disorder to detect locally ordered electron nematics via hysteresis. Nat Commun 2011; 2:379. [DOI: 10.1038/ncomms1375] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2010] [Accepted: 06/03/2011] [Indexed: 11/09/2022] Open
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16
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Caplan DS, Orlyanchik V, Weissman MB, Van Harlingen DJ, Fradkin EH, Hinton MJ, Lemberger TR. Anomalous noise in the pseudogap regime of YBa2Cu3O(7-delta). PHYSICAL REVIEW LETTERS 2010; 104:177001. [PMID: 20482127 DOI: 10.1103/physrevlett.104.177001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/05/2009] [Revised: 02/10/2010] [Indexed: 05/29/2023]
Abstract
An unusual noise component is found near and below about 250 K in the normal state of underdoped YBCO and Ca-YBCO films. This noise regime, unlike the more typical noise above 250 K, has features expected for a symmetry-breaking collective electronic state. These include large individual fluctuators, a magnetic sensitivity, and aging effects. A possible interpretation in terms of fluctuating charge nematic order is presented.
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Affiliation(s)
- D S Caplan
- Department of Physics and Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
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17
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Raicević I, Jaroszyński J, Popović D, Panagopoulos C, Sasagawa T. Evidence for charge glasslike behavior in lightly doped La2-xSrxCuO4 at low temperatures. PHYSICAL REVIEW LETTERS 2008; 101:177004. [PMID: 18999777 DOI: 10.1103/physrevlett.101.177004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/25/2008] [Indexed: 05/27/2023]
Abstract
A c-axis magnetotransport and resistance noise study in La_(1.97)Sr_(0.03)CuO_(4) reveals clear signatures of glassiness, such as hysteresis, memory, and slow, correlated dynamics, but only at temperatures (T) well below the spin glass transition temperature T_(sg). The results strongly suggest the emergence of charge glassiness, or dynamic charge ordering, as a result of Coulomb interactions.
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Affiliation(s)
- I Raicević
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32310, USA.
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18
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Papanikolaou S, Fernandes RM, Fradkin E, Phillips PW, Schmalian J, Sknepnek R. Universality of liquid-gas Mott transitions at finite temperatures. PHYSICAL REVIEW LETTERS 2008; 100:026408. [PMID: 18232898 DOI: 10.1103/physrevlett.100.026408] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2007] [Indexed: 05/25/2023]
Abstract
We explain, in a consistent manner, the set of seemingly conflicting experiments on the finite temperature Mott critical point, and demonstrate that the Mott transition is in the Ising universality class. We show that, even though the thermodynamic behavior of the system near such critical point is described by an Ising order parameter, the global conductivity can depend on other singular observables and, in particular, on the energy density. Finally, we show that in the presence of weak disorder the dimensionality of the system has crucial effects on the size of the critical region that is probed experimentally.
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Affiliation(s)
- Stefanos Papanikolaou
- Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, Illinois 61801-3080, USA
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