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arXiv · 1905.11424

Magnetohydrodynamics in graphene: shear and Hall viscosities

B. N. Narozhny·M. Schütt
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Abstract

Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on the kinetic theory combined with the renormalization group providing a unified description at arbitrary doping levels and non-quantizing magnetic fields. At charge neutrality, the Hall viscosity vanishes, while the field-dependent shear viscosity decays from its zero-field value saturating to a nonzero value in classically strong fields. Away from charge neutrality, the field-dependent viscosity coefficients tend to agree with the semiclassical expectation.

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B. N. Narozhny, M. Schütt. 2019-07-26. Magnetohydrodynamics in graphene: shear and Hall viscosities. https://doi.org/10.1103/physrevb.100.035125

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