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, A.; Mastropietro, V.; Porta, M.. - 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
V. Mastropietro;
2017
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.File allegati a questo prodotto
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