Degeneracy-projected polarization formulas for Hall-type conductivities
Strongly Correlated Electrons
2022-02-02 v3
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.
Keywords
Cite
@article{arxiv.2108.11372,
title = {Degeneracy-projected polarization formulas for Hall-type conductivities},
author = {Noga Bashan and Assa Auerbach},
journal= {arXiv preprint arXiv:2108.11372},
year = {2022}
}