Hydrodynamic magnetoresistance in graphene Corbino devices
Alex Levchenko, Songci Li, A. V. Andreev
Abstract
We study hydrodynamic electron magnetotransport in graphene devices. We show that in these systems a distinct mechanism of magnetoresistance appears which is absent in systems with Galilean-invariant electron liquid. The resulting magnetoresistance depends on the intrinsic conductivity and viscosity of the electron liquid, and becomes especially pronounced near charge neutrality. We obtain analytic expressions for magnetotransport coefficients of Corbino devices and obtain estimates for the electrical and thermal magnetoresistances for monolayer and bilayer systems at charge neutrality. Magnetoresistance becomes strong (of order $100\phantom{\rule{0.16em}{0ex}}%$) at relatively weak fields, at which the kinetic coefficients of the electron liquid are practically unaffected by the magnetic field.