Universality of the Hall conductivity in interacting electron systems
Mathematical Physics
2016-08-24 v3 Strongly Correlated Electrons
math.MP
Abstract
We prove the quantization of the Hall conductivity for general weakly interacting gapped fermionic systems on two-dimensional periodic lattices. The proof is based on fermionic cluster expansion techniques combined with lattice Ward identities, and on a reconstruction theorem that allows us to compute the Kubo conductivity as the analytic continuation of its imaginary time counterpart.
Keywords
Cite
@article{arxiv.1511.04047,
title = {Universality of the Hall conductivity in interacting electron systems},
author = {Alessandro Giuliani and Vieri Mastropietro and Marcello Porta},
journal= {arXiv preprint arXiv:1511.04047},
year = {2016}
}
Comments
58 pages, 4 figures. v3: final version, accepted for publication on Comm. Math. Phys