Dragging of electric current by hydrodynamic flow at charge neutrality

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Main Authors: Zverevich, Dmitry, Levchenko, Alex, Andreev, A. V.
Format: Preprint
Published: 2025
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author Zverevich, Dmitry
Levchenko, Alex
Andreev, A. V.
author_facet Zverevich, Dmitry
Levchenko, Alex
Andreev, A. V.
contents We develop a theory of drag in graphene double layers near charge neutrality. We work in the regime of electron hydrodynamics and account for interlayer correlations of charge puddle disorder. The drag resistivity is expressed in terms of the viscosity, intrinsic conductivity of the electron liquid, and the correlation function of the puddle disorder. The contributions of the interlayer transfer of momentum and energy to drag have opposite signs. This leads to a nonmonotonic dependence of the drag resistivity on the carrier density. For layer-symmetric doping, the drag resistivity changes sign as a function of the carrier density. At interlayer separations shorter than the disorder correlation length, the transconductivity saturates to the disorder-induced enhancement of the intralayer conductivity. We provide quantitative estimates of the effect for Dirac electron liquids in monolayer graphene and bilayer graphene double-layer devices.
format Preprint
id arxiv_https___arxiv_org_abs_2511_00221
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dragging of electric current by hydrodynamic flow at charge neutrality
Zverevich, Dmitry
Levchenko, Alex
Andreev, A. V.
Mesoscale and Nanoscale Physics
Plasma Physics
We develop a theory of drag in graphene double layers near charge neutrality. We work in the regime of electron hydrodynamics and account for interlayer correlations of charge puddle disorder. The drag resistivity is expressed in terms of the viscosity, intrinsic conductivity of the electron liquid, and the correlation function of the puddle disorder. The contributions of the interlayer transfer of momentum and energy to drag have opposite signs. This leads to a nonmonotonic dependence of the drag resistivity on the carrier density. For layer-symmetric doping, the drag resistivity changes sign as a function of the carrier density. At interlayer separations shorter than the disorder correlation length, the transconductivity saturates to the disorder-induced enhancement of the intralayer conductivity. We provide quantitative estimates of the effect for Dirac electron liquids in monolayer graphene and bilayer graphene double-layer devices.
title Dragging of electric current by hydrodynamic flow at charge neutrality
topic Mesoscale and Nanoscale Physics
Plasma Physics
url https://arxiv.org/abs/2511.00221