Sign of viscous magnetoresistance in electron fluids

Abstract

In sufficiently clean metals, it is possible for electrons to collectively flow as a viscous fluid at finite temperature. These viscous effects have been predicted to give a notable magnetoresistance, but whether the magnetoresistance is positive or negative has been debated. We argue that regardless of the strength of inhomogeneity, bulk magnetoresistance is always positive in the hydrodynamic regime. We also compute transport in weakly inhomogeneous metals across the ballistic-to-hydrodynamic crossover, where we also find positive magnetoresistance. The non-monotonic temperature dependence of resistivity in this regime (a bulk Gurzhi effect) rapidly disappears upon turning on any finite magnetic field, suggesting that magnetotransport is a simple test for viscous effects in bulk transport, including at the onset of the hydrodynamic regime.

arXiv comment14 pages, 5 figures; v2: published version

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Cited by in corpus (4)

• Hydrodynamic approach to two-dimensional electron systems
• Hydrodynamic charge transport in GaAs/AlGaAs ultrahigh-mobility two-dimensional electron gas
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Exploration of The Duality Between Generalized Geometry and Extraordinary Magnetoresistance