SFB Extra Colloquium

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 Hamiltonians 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).