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Dynamical conductivity in a disordered one-dimensional model of interacting fermions is studied numerically at high temperatures and in the weak-interaction regime in order to find a signature of many-body localization and vanishing d.c.…

Strongly Correlated Electrons · Physics 2015-05-19 O. S. Barišić , P. Prelovšek

The mechanism of superconductivity in materials with aborted ferroelectricity and the emergence of a dilute metallic phase in systems like doped-SrTiO$_3$ are outstanding issues in condensed matter physics. This dilute metal has features…

Strongly Correlated Electrons · Physics 2024-03-01 K. Santhosh Kumar , Dooyong Lee , Shivasheesh Varshney , Bharat Jalan , N. P. Armitage

We study fermions at quantum criticality with extremely retarded interactions of the form $V(\omega_l)=(g/|\omega_l|)^\gamma$, where $\omega_l$ is the transferred Matsubara frequency. This system undergoes a normal-superconductor phase…

Superconductivity · Physics 2022-08-30 Emil A. Yuzbashyan , Michael K. -H. Kiessling , Boris L. Altshuler

We study the effects of non-magnetic impurities on the phase diagram of a system of interacting electrons with a flat Fermi surface. The one-loop Wilsonian renormalization group flow of the angle dependent diffusion function…

Strongly Correlated Electrons · Physics 2007-05-23 S. Dusuel , D. Zanchi

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

We analyze optical conductivity of a clean two-dimensional electron system in a Fermi liquid regime near a $T=0$ Ising-nematic quantum critical point (QCP), and extrapolate the results to a QCP. We employ direct perturbation theory up to…

Strongly Correlated Electrons · Physics 2024-03-28 Yasha Gindikin , Andrey V. Chubukov

We analyze a model for electronic structure and interactions in twisted transition metal chalcogenide WSe$_2$ for superconductivity. In this material, spin-orbit scattering locks the z-components of spins of low-energy fermions near the…

Superconductivity · Physics 2024-10-15 A. V. Chubukov , C. M. Varma

We study the temperature-dependent corrections to the conductance due to electron-electron (e-e) interactions in clean two-dimensional conductors, such as lightly doped graphene or other Dirac matter. We use semiclassical Boltzmann kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. Uzair , K. Sabeeh , Markus Mueller

We present a lattice field theory of spins coupled to Dirac fermions, as a model for the doped copper oxide compounds. Both the fermionic and spin degrees of freedom are treated dynamically. The influence of the charge carriers on the…

Superconductivity · Physics 2007-05-23 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

The optical conductivity of a metal near a quantum critical point (QCP) is expected to depend on frequency not only via the scattering time but also via the effective mass, which acquires a singular frequency dependence near a QCP. We check…

Strongly Correlated Electrons · Physics 2017-11-29 Andrey V. Chubukov , Dmitrii L. Maslov

We investigate the energy spectrum of systems of two, three and four spin-1/2 fermions with short range attractive interactions both exactly, and within the scattering length approximation. The formation of molecular bound states and the…

Quantum Gases · Physics 2011-09-09 S. Q. Zhou , D. M. Ceperley , Shiwei Zhang

We discuss three different scenarios recently proposed to account for the non-Fermi liquid behavior near antiferromagnetic (AFM) quantum critical points in heavy-Fermion systems: (i) scattering of Fermi liquid quasiparticles by strong spin…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch

Using determinantal quantum Monte Carlo, we compute the properties of a lattice model with spin $\frac 1 2$ itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. The nematic fluctuations induce…

Strongly Correlated Electrons · Physics 2017-05-24 Samuel Lederer , Yoni Schattner , Erez Berg , Steven A. Kivelson

We calculate the correction to the electronic density of states in a disordered ferromagnetic metal induced by spin-wave mediated interaction between the electrons. Our calculation is valid for the case that the exchange splitting in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alessandro Ricottone , Jeroen Danon , Piet W. Brouwer

Forward and backscattering play an exceptional role in the physics of two-dimensional interacting fermions. In a Fermi liquid, both give rise to a non-analytic $\omega^2 \log(\omega)$ form of the fermionic scattering rate at second order in…

Strongly Correlated Electrons · Physics 2021-07-07 Dimitri Pimenov , Alex Kamenev , Andrey V. Chubukov

We study thermal and electrical transport in metals and superconductors near a quantum phase transition where antiferromagnetic order disappears. The same theory can also be applied to quantum phase transitions involving the loss of certain…

Strongly Correlated Electrons · Physics 2017-08-07 Shubhayu Chatterjee , Subir Sachdev , Andreas Eberlein

We theoretically study the conductivity of a disordered 2D metal when it is coupled to ferromagnetic magnons with a quadratic spectrum and a gap $\Delta$. In the diffusive limit, a combination of disorder and magnon-mediated electron…

Strongly Correlated Electrons · Physics 2023-04-10 Joshua Aftergood , So Takei

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 dynamical conductivity $\sigma (\omega)$, reflectivity $R(\omega)$, and tunneling density of states $N(\omega)$ of strongly correlated systems (like heavy fermions) with a spin-density wave (SDW) magnetic order are studied as a function…

Superconductivity · Physics 2009-11-07 O. V. Dolgov , M. L. Kulic

We calculate the transport properties of three-dimensional Weyl fermions in a disordered environment. The resulting conductivity depends only on the Fermi energy and the scattering rate. First we study the conductivity at the spectral node…

Disordered Systems and Neural Networks · Physics 2016-12-07 K. Ziegler