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.

Universality of the Hall Conductivity in Interacting Electron Systems / Giuliani, Alessandro; Mastropietro, Vieri; Porta, Marcello. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 349:3(2017), pp. 1107-1161. [10.1007/s00220-016-2714-8]

Universality of the Hall Conductivity in Interacting Electron Systems

PORTA, Marcello
2017-01-01

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.
349
3
1107
1161
http://link.springer-ny.com/link/service/journals/00220/index.htm
https://arxiv.org/abs/1511.04047
Giuliani, Alessandro; Mastropietro, Vieri; Porta, Marcello
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/122461
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