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Related papers: AdS/CFT and Landau Fermi liquids

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We study a charged dilatonic black hole in AdS_5, derived from a lagrangian involving a gauge field whose kinetic term is modified by the exponential of a neutral scalar. This black hole has two properties which one might reasonably demand…

High Energy Physics - Theory · Physics 2010-04-06 Steven S. Gubser , Fabio D. Rocha

At low temperature, a normal gas of unpaired spin-1/2 fermions is one of the cleanest realizations of a Fermi liquid. It is described by Landau's theory, where no phenomenological parameters are needed as the quasiparticle interaction…

Quantum Gases · Physics 2025-09-03 Thomas Repplinger , Songtao Huang , Yunpeng Ji , Nir Navon , Hadrien Kurkjian

Using the Landau kinetic equation to study the non-equilibrium behavior of interacting Fermi systems is one of the crowning achievements of Landau's Fermi liquid theory. While thorough study of transport modes has been done for standard…

Strongly Correlated Electrons · Physics 2020-06-24 Matthew P. Gochan , Joshuah T. Heath , Kevin S. Bedell

We point out that the quasiparticle spectrum of the Landau Fermi liquid theory has an extra $Z_2$ symmetry, local in momentum space, which is not generic to the Hamiltonian with interactions. Thus the Fermi liquid is in this sense a…

Strongly Correlated Electrons · Physics 2007-05-23 Philip W. Anderson , F. Duncan M. Haldane

We investigate the correspondence between a perfect fluid and a scalar field and show a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and chemical potential in terms of the scalar…

General Relativity and Quantum Cosmology · Physics 2014-02-13 Oliver F. Piattella , Júlio C. Fabris , Neven Bilić

The Fermi surface may be usefully viewed as a collection of 1+1 dimensional chiral conformal field theories. This approach permits straightforward calculation of many anomalous ground state properties of the Fermi gas including entanglement…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle

We theoretically explore 2d moir\'e heterostructures in lattice-commensurate magnetic fields as platforms for quantum simulation of a paradigmatic model of non-Fermi liquid physics: a Fermi-surface coupled to a fluctuating gauge field. In…

Strongly Correlated Electrons · Physics 2020-12-14 Ajesh Kumar , Zihan Cheng , Andrew C. Potter

We review recent progress in applying the AdS/CFT correspondence to finite-temperature field theory. In particular, we show how the hydrodynamic behavior of field theory is reflected in the low-momentum limit of correlation functions…

High Energy Physics - Theory · Physics 2008-11-26 D. T. Son , A. O. Starinets

We study the appearance of a sharp collective mode which features transverse current fluctuations within the bosonization approach to interacting two-dimensional Fermi liquids. This mode is analogous to the shear sound modes in elastic…

Strongly Correlated Electrons · Physics 2019-03-13 Jun Yong Khoo , Inti Sodemann Villadiego

We propose that the finite-frequency susceptibility of matter near a class of zero-temperature phase transition exhibits distinctive excitonic structure similar to meson resonances. The specific case of a Landau level undergoing a…

Superconductivity · Physics 2007-05-23 B. A. Bernevig , D. Giuliano , R. B. Laughlin

2D Fermi liquid driven by uniform alternating electric field at zero temperature may remain in quantum coherent non-equilibrium state. We develop a quasistatic approximation for strong and slow ac-fields and solve the problem of driven…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. Kashuba

While Landau's Fermi liquid theory provides the standard description for two- and three-dimensional (2D/3D) conductors, the physics of interacting one-dimensional (1D) conductors is governed by the distinct Luttinger liquid (LL) theory. Can…

As a paradigmatic example of multi-scale quantum criticality, we consider the Pomeranchuk instability of an isotropic Fermi liquid in two spatial dimensions, d=2. The corresponding Ginzburg-Landau theory for the quadrupolar fluctuations of…

Strongly Correlated Electrons · Physics 2015-05-13 Mario Zacharias , Peter Wölfle , Markus Garst

Low-temperature expansion of the effective Lagrangian of the QED$_{3+1}$ with a uniform magnetic field and a finite chemical potential is performed. Temperature corrections, as well as zero-temperature expression for the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vadim Zeitlin

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau parameters within the dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2019-06-18 Friedrich Krien , Erik G. C. P. van Loon , Mikhail I. Katsnelson , Alexander I. Lichtenstein , Massimo Capone

We use kinetic-theory methods to analyze Landau Fermi-liquid theory, and in particular to investigate the number and nature of soft modes in Fermi liquids, both in the hydrodynamic and the collisionless regimes. In the hydrodynamic regime…

Statistical Mechanics · Physics 2024-01-22 D. Belitz , T. R. Kirkpatrick

We study theoretically the magnetoresistance oscillations near a half-filled lowest Landau level ($\nu = 1/2$) that result from the presence of a periodic one-dimensional electrostatic potential. We use the Dirac composite fermion theory of…

Strongly Correlated Electrons · Physics 2019-10-23 Amartya Mitra , Michael Mulligan

Trapped and cooled gases of alkali atoms can be manipulated to exhibit a variety of interesting phenomena. For example, dilute gases of fermionic atoms, in 2 hyperfine states, can be cooled to temperatures where they become superfluid. An…

High Energy Physics - Lattice · Physics 2009-09-29 Matthew Wingate

Landau's phenomenological theory of Fermi liquids is a fundamental paradigm in many-body physics that has been remarkably successful in explaining the properties of a wide range of interacting fermion systems, such as liquid helium-3,…

Strongly Correlated Electrons · Physics 2015-08-12 Rex Lundgren , Joseph Maciejko

Landau's theory of Fermi liquids is generalized by incorporating the de Broglie waves diffraction. A newly derived kinetic equation of the Fermi particles is used to derive a general dispersion relation and the excitation of zero sound is…

Quantum Physics · Physics 2010-06-04 Nodar L. Tsintsadze , Levan N. Tsintsadze