Effects of Dissipation on Solitons in the Hydrodynamic Regime of Graphene

TL;DR

This paper investigates how viscous dissipation affects soliton propagation in graphene's hydrodynamic regime, deriving solutions that include decay effects and proposing experiments to measure shear viscosity.

Contribution

It introduces a hydrodynamic analysis of solitons in graphene considering dissipation, providing a framework to quantify shear viscosity through soliton decay.

Findings

Solitons in graphene satisfy the Korteweg-de Vries-Burgers equation.

Viscous dissipation causes soliton decay.

Proposed experiments can measure shear viscosity via soliton decay.

Abstract

We use hydrodynamic techniques to analyze the one-dimensional propagation of solitons in gated graphene on an arbitrary uniform background current. Results are derived for both the Fermi liquid and Dirac fluid regimes. We find that these solutions satisfy the Korteweg-de Vries-Burgers equation. Viscous dissipation and ohmic heating are included, causing the solitons to decay. Experiments are proposed to measure this decay and thereby quantify the shear viscosity in graphene.