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We calculate the temperature dependence of the weak localization correction in a two dimensional system at arbitrary relation between temperature, $T$ and the elastic mean free time. We describe the crossover in the dephasing time…

Disordered Systems and Neural Networks · Physics 2016-01-11 B. N. Narozhny , Gábor Zala , I. L. Aleiner

The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each…

Mathematical Physics · Physics 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

The temperature-dependent uniform magnetic susceptibility of interacting electrons in one dimension is calculated using several methods. At low temperature, the renormalization group reaveals that the Luttinger liquid spin susceptibility…

Strongly Correlated Electrons · Physics 2009-10-31 H. Nélisse , C. Bourbonnais , H. Touchette , Y. M. Vilk , A. -M. S. Tremblay

We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

Strongly Correlated Electrons · Physics 2009-11-10 Victor Galitski , S. Das Sarma

We analyze the quasiparticle interaction function (the fully dressed and antisymmetrized interaction between fermions) for a two-dimensional Fermi liquid at zero temperature close to a q=0 charge quantum critical point (QCP) in the $s-$wave…

Strongly Correlated Electrons · Physics 2024-12-03 R. David Mayrhofer , Peter Wölfle , Andrey V. Chubukov

We study the nonanalytic behavior of the static spin susceptibility of 2D fermions as a function of temperature and magnetic field. For a generic Fermi liquid, \chi_s (T, H)= const+c_1 max (T,\mu_B|H|), where c_1 is shown to be expressed…

Strongly Correlated Electrons · Physics 2016-08-31 Dmitrii L. Maslov , Andrey V. Chubukov , Ronojoy Saha

We study Fermi liquids with a Fermi surface that lacks continuous rotational invariance, and in the presence of an arbitrary quartic interaction. We obtain the expressions of the generalized static susceptibilities that measure the linear…

Strongly Correlated Electrons · Physics 2017-07-24 Pablo Rodríguez-Ponte , Nicolás Grandi , Daniel C. Cabra

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 prove that the weak coupling 2D Hubbard model away from half filling is a Landau Fermi liquid up to exponentially small temperatures. In particular we show that the wave function renormalization is an order 1 constant and essentially…

Strongly Correlated Electrons · Physics 2011-10-18 G. Benfatto , A. Giuliani , V. Mastropietro

An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi-liquids is presented. Common themes and possible routes to the singularities leading to the breakdown of Landau…

Strongly Correlated Electrons · Physics 2009-11-07 C. M. Varma , Z. Nussinov , W. van Saarloos

The recently measured spin susceptibility of the two dimensional electron gas exhibits a strong dependence on temperature, which is incompatible with the standard Fermi liquid phenomenology. Here we show that the observed temperature…

Strongly Correlated Electrons · Physics 2017-05-16 Arkady Shekhter , Alexander M. Finkel'stein

Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a…

Quantum Gases · Physics 2017-10-31 Alexander Galea , Tash Zielinski , Stefano Gandolfi , Alexandros Gezerlis

We apply the classical mapping technique developed recently by Dharma-wardana and Perrot for a study of the uniform two-dimensional electron system at arbitrary degeneracy and spin-polarization. Pair distribution functions, structure…

Strongly Correlated Electrons · Physics 2009-11-10 Nguyen Quoc Khanh , Hiroo Totsuji

Many correlated materials display a quantum critical point between a paramagnetic and a SDW state. The SDW wave vector connects points (hot spots) on opposite sides of the Fermi surface. The Fermi velocities at these pairs of points are in…

Strongly Correlated Electrons · Physics 2012-10-15 Dominic Bergeron , Debanjan Chowdhury , Matthias Punk , Subir Sachdev , A. -M. S. Tremblay

Using the method of continuous renormalization group around the Fermi surface, we prove that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g <…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

We compute the shear viscosity, thermal conductivity and spin diffusivity of a Fermi gas with short-range interactions in the Fermi liquid regime of the normal phase, that is at temperatures $T$ much lower than the Fermi temperature $T_{\rm…

Quantum Gases · Physics 2025-11-26 Pierre-Louis Taillat , Hadrien Kurkjian

The thermodynamic properties of two-component Fermi gases with divergent scattering length is investigated and the transition temperature for the emergence of a stable dimeric gas is obtained by a simple theoretical model where the unique…

Statistical Mechanics · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

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

Landau's Fermi Liquid parameters are calculated for non-superfluid pure neutron matter in the presence of a strong magnetic field at zero temperature. The particle-hole interactions in the system, where a net magnetization may be present,…

Nuclear Theory · Physics 2009-08-26 M. Angeles Perez-Garcia , J. Navarro , A. Polls

This is a companion paper to cond-mat/9907130. Using the method of continuous renormalization group around the Fermi surface and the results of cond-mat/9907130, we achieve the proof that a two-dimensional jellium interacting system of…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau