Giuliani, Alessandro; Mastropietro, Vieri; Porta, Marcello (2017). Universality of the Hall conductivity in Interacting electron systems. Communications in Mathematical Physics, 349(3):1107-1161.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | 2017 |
| Deposited On: | 01 Feb 2017 11:06 |
| Last Modified: | 26 Jan 2022 10:38 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00220-016-2714-8 |
Giuliani, Alessandro