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Developing a theoretical framework for conducting electronic fluids qualitatively distinct from those described by Landau's Fermi-liquid theory is of central importance to many outstanding problems in condensed matter physics. One such…

Three-dimensional electron gases in strong magnetic fields host partially flat bands that disperse along the field direction yet exhibit Landau-level quantization in the transverse dimensions. Early work established that for spin-polarized…

Strongly Correlated Electrons · Physics 2026-02-13 Nandagopal Manoj , Valerio Peri , Jason Alicea

Recently, in high-T_c superconductors (HTSC), exciting measurements have been performed revealing their physics in superconducting and pseudogap states and in normal one induced by the application of magnetic field, when the transition from…

Superconductivity · Physics 2009-02-17 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov , V. A. Stephanovich

We consider a class of strongly correlated Fermi systems that exhibit an interaction-induced flat band pinned to the Fermi surface, and generalize the Landau strategy to accommodate a flat band and apply the more comprehensive theory to…

Superconductivity · Physics 2015-06-09 V. A. Khodel , J. W. Clark , K. G. Popov , V. R. Shaginyan

Direct coupling between gapless bosons and a Fermi surface results in the destruction of Landau quasiparticles and a breakdown of Fermi liquid theory. Such a non-Fermi liquid phase arises in spin-orbit coupled ferromagnets with…

Strongly Correlated Electrons · Physics 2015-07-22 Yasaman Bahri , Andrew C. Potter

The critical theory of the onset of antiferromagnetism in metals, with concomitant Fermi surface reconstruction, has recently been shown to be strongly coupled in two spatial dimensions. The onset of unconventional superconductivity near…

Strongly Correlated Electrons · Physics 2012-07-10 Subir Sachdev , Max A. Metlitski , Matthias Punk

The so-called ``non-Fermi liquid'' behavior is very common in strongly correlated systems. However, its operational definition in terms of ``what it is not'' is a major obstacle against theoretical understanding of this fascinating…

Strongly Correlated Electrons · Physics 2015-05-27 Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi

The question of a possible quantum critical point lying inside of a superconducting phase is central for understanding unconventional superconductivity. In various unconventional superconductors, non-Fermi-liquid/'strange-metal' $T^{n}$…

Superconductivity · Physics 2026-04-17 W. Knafo , T. Thebault , K. Somesh , G. Lapertot , G. Knebel , D. Braithwaite , D. Aoki

The Fermi-liquid theory of superconductivity is applicable to a broad range of systems that are candidates for unconventional pairing. Fundamental differences between unconventional and conventional anisotropic superconductors are…

Superconductivity · Physics 2010-11-16 J. A. Sauls , D. Rainer

We study a model of strongly-correlated systems that incorporates phases such as Fermi liquids, non-Fermi liquids, and superconductivity, in addition to potential intertwined orders. The model describes Fermi surfaces of spinful electron…

Strongly Correlated Electrons · Physics 2017-11-15 Yi Zhang

The electronic properties of correlated metals with a strong electron-phonon coupling may be understood in terms of a combination of Landau's Fermi-liquid theory and the strong-coupling theory of Migdal and Eliashberg. In these lecture…

Superconductivity · Physics 2018-09-19 D. Rainer , J. A. Sauls

We find the nonlinear conductance of a dissipative resonant level in the nonequilibrium steady state near its quantum critical point. The system consists of a spin-polarized quantum dot connected to two resistive leads that provide ohmic…

Mesoscale and Nanoscale Physics · Physics 2022-03-15 Gu Zhang , E. Novais , Harold U. Baranger

Monovalent non-transition metals are robust Fermi liquids. They defy superconductivity even at lowest temperatures (Li is a minor exception:Tc $\approx$ 0.4 mK). However, Thapa and Pandey \cite{ThapaPandey} have recently reported signals…

Superconductivity · Physics 2018-08-09 Ganapathy Baskaran

We revisit the issue of superconductivity at the quantum-critical point (QCP) between a 2D paramagnet and a spin-density-wave metal with ordering momentum (\pi,\pi). This problem is highly non-trivial because the system at criticality…

Superconductivity · Physics 2015-06-11 Yuxuan Wang , Andrey V. Chubukov

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

We consider the behavior of quasiparticles in the superconducting state of high-T_c metals within the framework of the theory of superconducting state based on the fermion condensation quantum phase transition. We show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-10 M. Ya. Amusia , V. R. Shaginyan

Using large-scale dynamical cluster quantum Monte Carlo simulations, we explore the unconventional superconductivity in the hole-doped Hubbard model on the triangular lattice. Due to the interplay of electronic correlations, geometric…

Strongly Correlated Electrons · Physics 2013-07-09 Kuang Shing Chen , Zi Yang Meng , Unjong Yu , Shuxiang Yang , Mark Jarrell , Juana Moreno

Non-Fermi liquids arise when metals are subject to singular interactions mediated by soft collective modes. In the absence of well-defined quasiparticle, universal physics of non-Fermi liquids is captured by interacting field theories which…

Strongly Correlated Electrons · Physics 2018-03-23 Sung-Sik Lee

In this paper we continue our analysis of the interplay between the pairing and the non-Fermi liquid behavior in a metal for a set of quantum-critical models with an effective dynamical electron-electron interaction $V(\Omega_m) \propto…

Superconductivity · Physics 2020-09-30 Yi-Ming Wu , Artem Abanov , Andrey V. Chubukov

We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-all electron hopping, electron spin exchange, and Cooper-pair hopping. An attractive on-site interaction between electrons leads to superconductivity…

Superconductivity · Physics 2023-01-26 Chenyuan Li , Subir Sachdev , Darshan G. Joshi