Residual bulk viscosity of a disordered 2D electron gas

Abstract

The nonzero bulk viscosity signals breaking of the scale invariance. We demonstrate that a disorder in two-dimensional noninteracting electron gas in a perpendicular magnetic field results in the nonzero disorder-averaged bulk viscosity. We derive analytic expression for the bulk viscosity within the self-consistent Born approximation. This residual bulk viscosity provides the lower bound for the bulk viscosity of 2D interacting electrons at low enough temperatures.

10 pages, 2 figures

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• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Viscosity Enhancement by Electron-Hole Collisions in Dirac Electron Fluid
• Bulk and shear viscosities in multicomponent 2D electron system
• How to accurately measure the mobility and viscosity of two-dimensional carriers?