Turbulent flow in graphene

TL;DR

This paper explores the potential for turbulent electron flow in graphene within the hydrodynamic regime, analyzing its impact on conductivity through a quantum Boltzmann framework and highlighting unique parameter dependencies.

Contribution

It introduces the concept of turbulent electron flow in graphene and quantifies its influence on conductivity, a novel approach in condensed matter physics.

Findings

Turbulent flow probability density function calculated for graphene.

Turbulence significantly affects conductivity, differing from scattering effects.

Dependence of conductivity on system parameters is markedly different due to turbulence.

Abstract

We demonstrate the possibility of a turbulent flow of electrons in graphene in the hydrodynamic region, by calculating the corresponding turbulent probability density function. This is used to calculate the contribution of the turbulent flow to the conductivity within a quantum Boltzmann approach. The dependence of the conductivity on the system parameters arising from the turbulent flow is very different from that due to scattering.