FM 14-15; arXiv:1511.04047

Authors: Alessandro Giuliani, Vieri Mastropietro, Marcello Porta

Title: Universality of the Hall conductivity in interacting electron systems

Sommario: 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.

Alessandro Giuliani
Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, 00146 Roma Italy

Vieri Mastropietro
Dipartimento di Matematica, Università degli Studi di Milano, 20133 Milano Italy

Marcello Porta
University of Zurich, Mathematics Department, Winterthurerstrasse 190, 8057 Zurich, Switzerland