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The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

Recent experiments have observed hints of hydrodynamic electron flow in a number of materials, not all of which have an isotropic Fermi surface. We revisit these experiments in $\mathrm{PdCoO}_2$, a quasi-two-dimensional material whose…

Strongly Correlated Electrons · Physics 2019-07-03 Caleb Q. Cook , Andrew Lucas

In high-quality conductors, the hydrodynamic regime of electron transport has been recently realized. In this work we theoretically investigate magnetotransport of a viscous electron fluid in samples with electron-impermeable obstacles. We…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 P. S. Alekseev , A. P. Dmitriev

We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-impurity scattering, but neglecting electron-phonon…

Strongly Correlated Electrons · Physics 2018-06-27 Andrew Lucas , Sankar Das Sarma

Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the movement of viscous fluids. Here we show that in viscous flows interactions facilitate transport, allowing conductance to exceed the fundamental…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Haoyu Guo , Ekin Ilseven , Gregory Falkovich , Leonid Levitov

A theory of thermohydrodynamics in two-dimensional electron systems in quantizing magnetic fields is developed including a nonlinear transport regime. Spatio-temporal variations of the electron temperature and the chemical potential in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Akera , Hidekatsu Suzuura

We consider a hydrodynamic description of transport for generic two dimensional electron systems that lack Galilean invariance and do not fall into the category of Fermi liquids. We study magnetoresistance and show that it is governed only…

Strongly Correlated Electrons · Physics 2017-11-13 Aavishkar A. Patel , Richard A. Davison , Alex Levchenko

We study the thermal and electric transport of a fluid of interacting Dirac fermions as they arise in single-layer graphene. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to…

Mesoscale and Nanoscale Physics · Physics 2009-05-31 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

Fermi liquid theory has been a foundation in understanding the electronic properties of materials. For weakly interacting two-dimensional (2D) electron or hole systems, electron-electron interactions are known to introduce quantum…

Strongly Correlated Electrons · Physics 2023-06-30 Arvind Shankar Kumar , Chieh-Wen Liu , Shuhao Liu , Loren N. Pfeiffer , Kenneth W. West , Alex Levchenko , Xuan P. A. Gao

The phenomenology of charge transport in synthetic metals is reviewed. It is argued that the conventional quasiparticle picture and Boltzmann transport theory do not apply to these materials. The central ideas of Fermi liquid theory are…

Strongly Correlated Electrons · Physics 2007-05-23 V. J. Emery , S. A. Kivelson , V. N. Muthukumar

We report the study of quasi-ballistic electron transport in short FETs subjected to magnetic field. Spatial distributions of electron concentrations, velocities, Hall currents and voltages in the short FET channels are determined. The…

Materials Science · Physics 2024-08-28 Mykola Yelisieiev , Vyacheslav Kochelap

We obtain a rigorous upper bound on the resistivity $\rho$ of an electron fluid whose electronic mean free path is short compared to the scale of spatial inhomogeneities. When such a hydrodynamic electron fluid supports a non-thermal…

Strongly Correlated Electrons · Physics 2018-04-24 Andrew Lucas , Sean A. Hartnoll

Materials with strongly-correlated electrons exhibit interesting phenomena such as metal-insulator transitions and high-temperature superconductivity. In stark contrast to ordinary metals, electron transport in these materials is thought to…

Strongly Correlated Electrons · Physics 2019-11-19 J. Gooth , F. Menges , C. Shekhar , V. Süß , N. Kumar , Y. Sun , U. Drechsler , R. Zierold , C. Felser , B. Gotsmann

The Kondo effect has been playing an important role in strongly correlated electon systems. The important point is that the magnetic impurity in metals is a typical example of the Fermi liquid. In the system the local spin is conserved in…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroshi Kontani , Kosaku Yamada

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

The paper is devoted to the applications of the theory of dynamical systems to the theory of transport phenomena in metals in the presence of strong magnetic fields. More precisely, we consider the connection between the geometry of the…

Mathematical Physics · Physics 2021-05-18 A. Ya. Maltsev , S. P. Novikov

Measurements of low temperature transport and thermodynamic properties have been used to characterize the non-Fermi liquid state of the itinerant ferromagnet ZrZn$_2$. We observe a $T^{5/3}$ temperature dependence of the electrical…

Strongly Correlated Electrons · Physics 2012-01-31 Mike Sutherland , R. P. Smith , N. Marcano , Y. Zou , F. M. Grosche , N. Kimura , S. M. Hayden , S. Takashima , M. Nohara , H. Takagi

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

We use quantum kinetic theory to calculate the thermoelectric transport properties of the 2D single band Fermi-Hubbard model in the weak coupling limit. For generic filling, we find that the high-temperature limiting behaviors of the…

Quantum Gases · Physics 2021-11-03 Thomas G. Kiely , Erich J. Mueller

A quantum critical point (QCP) arises at a continuous transition between competing phases at zero temperature. Collective excitations at magnetic QCPs give rise to metallic properties that strongly deviate from the expectations of Landau's…

Strongly Correlated Electrons · Physics 2013-07-04 H. Pfau , S. Hartmann , U. Stockert , P. Sun , S. Lausberg , M. Brando , S. Friedemann , C. Krellner , C. Geibel , S. Wirth , S. Kirchner , E. Abrahams , Q. Si , F. Steglich
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