Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals

Abstract

We present a theory of thermoelectric transport in weakly disordered Weyl semimetals where the electron-electron scattering time is faster than the electron-impurity scattering time. Our hydrodynamic theory consists of relativistic fluids at each Weyl node, coupled together by perturbatively small inter-valley scattering, and long-range Coulomb interactions. The conductivity matrix of our theory is Onsager reciprocal and positive-semidefinite. In addition to the usual axial anomaly, we account for the effects of a distinct, axial-gravitational anomaly expected to be present in Weyl semimetals. Negative thermal magnetoresistance is a sharp, experimentally accessible signature of this axial-gravitational anomaly, even beyond the hydrodynamic limit.

v3: 26 pages, published version

References in corpus (7)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermoelectric properties of Weyl and Dirac semimetals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• The chiral magnetic effect in hydrodynamical approach
• Memory matrix theory of magnetotransport in strange metals
• Sound waves and resonances in electron-hole plasma

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