Communications in Mathematical Physics

, Volume 349, Issue 3, pp 1107–1161 | Cite as

Universality of the Hall Conductivity in Interacting Electron Systems

  • Alessandro Giuliani
  • Vieri Mastropietro
  • Marcello PortaEmail author


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Alessandro Giuliani
    • 1
  • Vieri Mastropietro
    • 2
  • Marcello Porta
    • 3
    Email author
  1. 1.Department of Mathematics and PhysicsUniversity of Roma TreRomeItaly
  2. 2.Department of Mathematics “F. Enriquez”University of MilanoMilanItaly
  3. 3.Mathematics DepartmentUniversity of ZürichZurichSwitzerland

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