Hydrodynamic-to-ballistic crossover in Dirac fluid
arXiv:1710.05054 · doi:10.1103/PhysRevB.97.121405
Abstract
We develop an exactly solvable classical kinetic model of transport in Dirac materials accounting for strong electron-electron (e-e) and electron-hole (e-h) collisions. We use this model to track the evolution of graphene conductivity and properties of its collective excitations across the hydrodynamic-to-ballistic crossover. We find the relaxation rate of electric current by e-e collisions that is possible due to the lack of Galilean invariance, and introduce a universal numerical measure of this non-invariance in arbitrary dimension. We find the two branches of collective excitations in the Dirac fluid: plasmons and electron-hole sound. The sound waves have small viscous damping at the neutrality point both in the hydrodynamic and ballistic regimes, but acquire large damping due to e-h friction even at slight doping. On the contrary, plasmons acquire strong frictional damping at the neutrality point and become well-defined in doped samples.
6 pages, 2 figures
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