Collision-dominated nonlinear hydrodynamics in graphene

U. Briskot, M. Schütt, I. V. Gornyi, M. Titov, B. N. Narozhny, A. D. Mirlin

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Abstract

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account dissipation due to Coulomb interaction and find the viscosity of Dirac fermions in graphene for arbitrary densities. The viscous terms have a dramatic effect on transport coefficients in clean samples at high temperatures. Within linear response, we show that viscosity manifests itself in the nonlocal conductivity as well as dispersion of hydrodynamic plasmons. Beyond linear response, we apply the derived nonlinear hydrodynamics to the problem of hot-spot relaxation in graphene.

Original languageEnglish (US)
Article number115426
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume92
Issue number11
DOIs
StatePublished - Sep 17 2015

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

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