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
giuliani@mat.uniroma3.it

Vieri Mastropietro
Dipartimento di Matematica, Università degli Studi di Milano, 20133 Milano Italy
vieri.mastropietro@unimi.it

Marcello Porta
University of Zurich, Mathematics Department, Winterthurerstrasse 190, 8057 Zurich, Switzerland
marcello.porta@math.uzh.ch