Equilibrium Formulae for Transverse Magneto-transport of Strongly Correlated Metals

Abstract

Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusively on equilibrium (time independent) susceptibilities, which are significantly easier to compute than conductivities. For weak isotropic scattering, Boltzmann theory is recovered. For strong scattering, well controlled methods for thermodynamic functions are available. As an example, the Hall sign reversals of lattice bosons near the Mott insulator phases are determined. Appendices include mathematical supplements and instructions for calculating the coefficients.

arXiv comment19 pages, 5 figures. arXiv admin note: text overlap with arXiv:1802.04810

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• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Topological linear response of hyperbolic Chern insulators
• Hall anomaly and moving vortex charge in layered superconductors
• Intertwined states at finite temperatures in the Hubbard model
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• Degeneracy-projected polarization formulas for Hall-type conductivities
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• Quantum Transport Theory of Strongly Correlated Matter
• Superscreening by a Retroreflected Hole Backflow in Tomographic Electron Fluids
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