Hydrodynamic description of transport in strongly correlated electron systems

TL;DR

This paper develops a hydrodynamic framework to describe resistivity and magnetoresistance in strongly correlated electron systems, highlighting the role of heat fluxes and thermal conductivity, and introduces a new mechanism for spin magnetoresistance.

Contribution

It presents a novel hydrodynamic model for electron transport in disordered systems, emphasizing heat fluxes and thermal conductivity effects, and proposes a new spin magnetoresistance mechanism.

Findings

Resistivity inversely proportional to thermal conductivity $ppa$.

Heat fluxes dominate dissipation over a broad temperature range.

Identification of a new hydrodynamic spin magnetoresistance mechanism.

Abstract

We develop a hydrodynamic description of the resistivity and magnetoresistance of an electron liquid in a smooth disorder potential. This approach is valid when the electron-electron scattering length is sufficiently short. In a broad range of temperatures, the dissipation is dominated by heat fluxes in the electron fluid, and the resistivity is inversely proportional to the thermal conductivity, $\kappa$. This is in striking contrast with the Stokes flow, in which the resistance is independent of $\kappa$ and proportional to the fluid viscosity. We also identify a new hydrodynamic mechanism of spin magnetoresistance.