An exact formula for the temperature dependent Hall number of metals is derived. It is valid for non-relativistic fermions or bosons, with arbitrary potential and interaction. This DC transport coefficient is proven to (remarkably) depend solely on equilibrium susceptibilities, which are more amenable to numerical algorithms than the conductivity. An application to strongly correlated phases is demonstrated by calculating the Hall sign in the vicinity of Mott phases of lattice bosons.
@article{arxiv.1802.04810,
title = {The Hall Number of Strongly Correlated Metals},
author = {Assa Auerbach},
journal= {arXiv preprint arXiv:1802.04810},
year = {2018}
}