Hall and Nernst Coefficients of Strongly Correlated Metals

Exact formulae for the temperature dependent Hall number and Nernst coefficients of metals are derived. They are valid for a large range of microscopic Hamiltonians of fermions or bosons, with arbitrary potential and interaction. These DC transport coefficients (remarkably) depend solely on equilibrium susceptibilities, which are more amenable to numerical algorithms than the conductivity. First applications of the formulae are demonstrated for the Hall resistivities of the large U Hubbard model, and for the Bose Hubbard model at high temperatures.

Hall Number of Strongly Correlated Metals, A. Auerbach, Phys. Rev. Lett. 121, 066601 (2018).