Universality of the Hall Conductivity in Interacting Electron Systems

作者:Giuliani Alessandro; Mastropietro Vieri; Porta Marcello*
来源:Communications in Mathematical Physics, 2017, 349(3): 1107-1161.
DOI:10.1007/s00220-016-2714-8

摘要

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.

  • 出版日期2017-2