Effects of Dissipation on Solitons in the Hydrodynamic Regime of Graphene

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.

Improved discussion of phonons (section IIB) and minor corrections; 19+15 pages, 5 figures

References in corpus (6)

• Electronic transport in graphene: A semi-classical approach including midgap states
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Cited by in corpus (2)

• Hydrodynamic approach to two-dimensional electron systems
• Plasma solitons in gated two-dimensional electron systems: exactly solvable analytical model for the regime beyond weak non-linearity