In metals, transport coefficients involve non-adiabatic relaxational dynamics which are in general, much harder to compute than equilibrium susceptibilities.
In this talk I present three formulas derived from Kubo formula [1], for DC transport coefficients which can be expressed as sums of equilibrium susceptibilities: (1) The Hall coefficient, (2) A modified Nernst coefficient, and (3) The Thermal Hall coefficient. The formulas are valid for general Hamitlonians and can treat “bad metals” where Boltzmann theory ceases to be valid. I show new results for the Hall coefficients of the square lattice t-J model, and of lattice bosons near the Mott insulator phases.

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