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The interacting symplectic fermion model in two spatial dimensions is further analyzed. As an effective low energy theory, the model is unitary. We show that a relativistic mass m is dynamically generated and derive a gap equation for it.…

Strongly Correlated Electrons · Physics 2009-03-29 Eliot Kapit , André LeClair

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum…

Strongly Correlated Electrons · Physics 2015-05-13 J. K. Jain , P. W. Anderson

We study the properties of $s$-wave superconductivity induced around a nematic quantum critical point in two-dimensional metals. The strong Landau damping and the Cooper pairing between incoherent fermions have dramatic mutual influence on…

Superconductivity · Physics 2017-12-07 Guo-Zhu Liu , Jing-Rong Wang

We demonstrate the role of proximity effect in the thermal hysteresis of superconducting constrictions. From the analysis of successive thermal instabilities in the transport characteristics of micron-size superconducting quantum…

Superconductivity · Physics 2015-06-05 Nikhil Kumar , T. Fournier , H. Courtois , C. B. Winkelmann , Anjan K. Gupta

Kinetic properties of a two dimensional model of fermions interacting with antiferromagnetic spin excitations near the quantum critical point (QCP) are considered. The temperature or doping are assumed to be sufficiently high, such that the…

Strongly Correlated Electrons · Physics 2015-06-22 K. B. Efetov

In high transition temperature (T_c) superconductivity, charge doping is a natural tuning parameter that takes copper oxides from the antiferromagnet to the superconducting region. In the metallic state above T_c the standard Landau's…

Superconductivity · Physics 2008-05-23 T. Shibauchi , L. Krusin-Elbaum , M. Hasegawa , Y. Kasahara , R. Okazaki , Y. Matsuda

We consider the leading non-analytic temperature dependence of the specific heat and temperature and momentum dependence of the spin susceptibility for two dimensional fermionic systems with non-circular Fermi surfaces. We demonstrate the…

Strongly Correlated Electrons · Physics 2007-05-23 Andrey V. Chubukov , Andrew J. Millis

We study superconductivity in a two-dimensional, disordered marginal Fermi liquid. At the semiclassical level, the transition temperature $T_c$ is strongly suppressed because marginal Fermi liquid effects destroy well-defined…

Superconductivity · Physics 2023-12-07 Tsz Chun Wu , Patrick A. Lee , Matthew S. Foster

We study the scaling behaviour of the optical conductivity $(\sigma)$, free energy density $(F)$, and shear viscosity of the quantum critical point associated with the spin density wave phase transition for a two-dimensional metallic system…

Strongly Correlated Electrons · Physics 2021-06-23 Ipsita Mandal

We discuss shape (Pomeranchuk) instabilities of the Fermi surface of a two-dimensional Fermi system using bosonization. We consider in detail the quantum critical behavior of the transition of a two dimensional Fermi fluid to a nematic…

Strongly Correlated Electrons · Physics 2009-11-11 Michael J. Lawler , Victoria Fernandez , Daniel G. Barci , Eduardo Fradkin , Luis Oxman

Understanding the origins of unconventional superconductivity has been a major focus of condensed matter physics for many decades. While many questions remain unanswered, experiments have found that the systems with the highest critical…

Quantum Gases · Physics 2021-06-23 Lennart Sobirey , Hauke Biss , Niclas Luick , Markus Bohlen , Henning Moritz , Thomas Lompe

We investigate how the strong coupling of a superconductor to thermal bosons can enhance its superconducting critical temperature. To tackle this problem, we use a renormalization group approach that allows us to describe the competition…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Ekaterina Vlasiuk , Manfred Salmhofer , Eugene Demler , Richard Schmidt

The density of low energy particle-hole excitations is non-analytic in a singular Fermi-liquid, but it is altered on entering a superconducting state in which, in the pure limit, it vanishes asymptotically at the chemical potential and in…

Strongly Correlated Electrons · Physics 2018-11-14 Kazumasa Miyake , Chandra M. Varma

Strong correlation, when combined with dissipation in open systems, can lead to a variety of exotic quantum phenomena. Here, we study nontrivial interplays between non-Fermi liquid behaviors emerging from strong correlation and…

Strongly Correlated Electrons · Physics 2026-03-03 Wei-Zhu Yi , Yun Chen , Jun-Jun Pang , Hong Chen , Baigeng Wang , Rui Wang

At the nematic quantum critical point that exists in the $d_{x^2-y^2}$-wave superconducting dome of cuprates, the massless nodal fermions interact strongly with the quantum critical fluctuation of nematic order. We study this problem by…

Strongly Correlated Electrons · Physics 2016-07-14 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

We provide evidence that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial…

Condensed Matter · Physics 2007-05-23 I. J. R. Aitchison , N. E. Mavromatos

When a second-order magnetic phase transition is tuned to zero temperature by a non-thermal parameter, quantum fluctuations are critically enhanced, often leading to the emergence of unconventional superconductivity. In these `quantum…

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the…

Strongly Correlated Electrons · Physics 2025-09-11 Ipsita Mandal