Hydrodynamic electron transport near charge neutrality
Abstract
We develop the theory of hydrodynamic electron transport in a longrange disorder potential for conductors in which the underlying electron liquid lacks Galilean invariance. For weak disorder, we express the transport coefficients of the system in terms of the intrinsic kinetic coefficients of the electron liquid and the correlation function of the disorder potential. We apply these results to analyze the doping and temperature dependence of transport coefficients of graphene devices. We show that at charge neutrality, longrange disorder increases the conductivity of the system above the intrinsic value. The enhancement arises from the predominantly vortical hydrodynamic flow caused by local deviations from charge neutrality. Its magnitude is inversely proportional to the shear viscosity of the electron liquid and scales as the square of the disorder correlation radius. This is qualitatively different from the situation away from charge neutrality. In that case, the flow is predominantly potential and produces negative viscous contributions to the conductivity, which are proportional to the sum of shear and bulk viscosities and inversely proportional to the square of disorder correlation radius.
 Publication:

Physical Review B
 Pub Date:
 August 2020
 DOI:
 10.1103/PhysRevB.102.075305
 arXiv:
 arXiv:2004.13726
 Bibcode:
 2020PhRvB.102g5305L
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 13 pages, 3 figures