Magnetoresistance in relativistic hydrodynamics without anomalies

Abstract

We present expressions for the magnetoconductivity and the magnetoresistance of a strongly interacting metal in 3+1 dimensions, derivable from relativistic hydrodynamics. Such an approach is suitable for ultraclean metals with emergent Lorentz invariance. When this relativistic fluid contains chiral anomalies, it is known to exhibit longitudinal negative magnetoresistance. We show that similar effects can arise in non-anomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galilean-invariant fluid, the resistivity tensor of a dirty relativistic fluid exhibits similar angular dependence to negative magnetoresistance, even when the constitutive relations and momentum relaxation rate are isotropic. We further account for the effect of magnetic field-dependent corrections to the gradient expansion and the effects of long-wavelength impurities on magnetoresistance. We note that the holographic D3/D7 system exhibits negative magnetoresistance.

18 pages

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• Slow imbalance relaxation and thermoelectric transport in graphene
• Relativistic magnetohydrodynamics
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Cited by in corpus (11)

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• Backreacted DBI Magnetotransport with Momentum Dissipation
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• Holographic DC Conductivity for Backreacted Nonlinear Electrodynamics with Momentum Dissipation
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Positive magnetoresistance induced by hydrodynamic fluctuations in chiral media
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Phase Transitions and Conductivties of Floquet Fluids
• A Consistent Holographic Analysis of Anomaly-induced Charge Transport in the D3/D7 Model