Directional propagation of quantum Hall viscous fluid by nano-structural engineering

TL;DR

This paper develops a microscopic theory for quantum Hall viscous fluids using nonequilibrium Green's functions, revealing nonreciprocal transport influenced by magnetic fields and device geometry, with implications for understanding electron hydrodynamics.

Contribution

It introduces a novel microscopic framework for quantum Hall viscous fluids that accounts for boundary conditions and strong magnetic fields.

Findings

Demonstrates nonreciprocal transport due to magnetic viscosity and device geometry

Provides a new theoretical tool for nonperturbative magnetic field effects

Formulates hydrodynamic equations in strong magnetic fields

Abstract

We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic equations in the strong field regime that accommodates arbitrary boundary conditions. We demonstrate nonreciprocal transport resulting from the interplay between magnetic field-induced viscosity and device geometry in a notched system. Our results will offer a powerful tool for studying the nonperturbative effects of magnetic fields on electron viscous fluids.