Artificial electric field and electron hydrodynamics

TL;DR

This paper develops hydrodynamic equations for electrons in systems with artificial electric fields caused by Berry curvature, revealing new transport coefficients and nonlinear effects in electron dynamics.

Contribution

It introduces a hydrodynamic framework incorporating artificial electric fields in time-reversal invariant, inversion-breaking systems, identifying novel transport coefficients.

Findings

Derived hydrodynamic equations with AEF contributions

Identified new linear and nonlinear transport coefficients

Explored effects of AEF on electron transport phenomena

Abstract

In the electron dynamics in quantum matter, the Berry curvature of the electronic wave function provides the artificial magnetic field (AMF) in momentum space, which leads to non-trivial contributions to transport coefficients. It is known that in the presence of electron-electron and/or electron-phonon interactions, there is an extra contribution to the electron dynamics due to the artificial electric field (AEF) in momentum space. In this work, we construct hydrodynamic equations for the electrons in time-reversal invariant but inversion-breaking systems and find the novel hydrodynamic coefficients related to the AEF. Furthermore, we investigate the novel linear and non-linear transport coefficients in presence of the AEF.