Relativistic Gurzhi effect in channels of Dirac materials

TL;DR

This paper investigates charge transport in 2D Dirac materials, revealing conditions for hydrodynamic behavior and demonstrating the relativistic Gurzhi effect as a key indicator of such transport regimes.

Contribution

It provides a detailed analysis of the relativistic Gurzhi effect in Dirac channels, highlighting the specific conditions for hydrodynamic transport in these materials.

Findings

Identification of parameter regimes for hydrodynamic transport

Observation of the relativistic Gurzhi effect in clean samples

Conditions for heat flow hydrodynamics and pseudo-diffusive transport

Abstract

Charge transport in channel-shaped 2D Dirac systems is studied employing the Boltzmann equation. The dependence of the resistivity on temperature and chemical potential is investigated. An accurate understanding of the influence of electron-electron interaction and material disorder allows us to identify a parameter regime, where the system reveals hydrodynamic transport behavior. We point out the conditions for three Dirac fermion specific features: heat flow hydrodynamics, pseudo\-diffusive transport, and the electron-hole scattering dominated regime. It is demonstrated that for clean samples the relativistic Gurzhi effect, a definite indicator of hydrodynamic transport, can be observed.