Nonlocal thermoelectric resistance in vortical viscous transport

TL;DR

This paper theoretically investigates nonlocal electric and thermal resistances in viscous electron flows within multiterminal Hall-bar devices, revealing vortical effects in thermal transport near charge neutrality, with potential for experimental detection.

Contribution

It provides analytic expressions for thermoelectric resistances in non-Galilean-invariant electron liquids across different density regimes, highlighting vortical flow effects in thermal transport.

Findings

Vortical electron flow influences thermal resistance near charge neutrality.

Analytic formulas applicable across charge neutrality to high density regimes.

Vorticity effects detectable via high-resolution thermal imaging.

Abstract

The pursuit for clearly identifiable signatures of viscous electron flow in the solid state systems has been a paramount task in the search of the hydrodynamic electron transport behavior. In this work, we investigate theoretically the nonlocal electric and thermal resistances for the generic non-Galilean-invariant electron liquids in the multiterminal Hall-bar devices in the hydrodynamic regime. The role of the device inhomogeneity is carefully addressed in the model of the disorder potential with the long-range correlation radius. We obtain analytic expressions for the thermoelectric resistances that are applicable in the full crossover regime from charge neutrality to high electron density. We show that the vortical component of the electron flow manifests in the thermal transport mode close to the charge neutrality where vorticity is already suppressed by the intrinsic conductivity in the electric current. This behavior can be tested by the high-resolution thermal imaging probes.