Degeneracy-projected polarization formulas for Hall-type conductivities

Abstract

Kubo formulas for Hall, transverse thermoelectric and thermal Hall conductivities are simplified into on-shell commutators of degeneracy projected polarizations. The new expressions are computationally economical, and apply to general Hamiltonians without a gap restriction. We show that Hall currents in open boundaries are carried by gapless chiral excitations. Extrapolation of finite lattice calculations to the DC-thermodynamic limit is demonstrated for a disordered metal.

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Cited by in corpus (3)

• Topological linear response of hyperbolic Chern insulators
• Quantum kinetic equation and thermal conductivity tensor for bosons
• Quantum Transport Theory of Strongly Correlated Matter