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Localization Properties of Chern Insulators
| dc.contributor.author | Bezrukavnikov, Roman | |
| dc.contributor.author | Kapustin, Anton | |
| dc.date.accessioned | 2021-09-20T17:17:12Z | |
| dc.date.available | 2021-09-20T17:17:12Z | |
| dc.date.issued | 2019-03-08 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131471 | |
| dc.description.abstract | Abstract We study the localization properties of the equal-time electron Green’s function in a Chern insulator in an arbitrary dimension and with an arbitrary number of bands. We prove that the Green’s function cannot decay super-exponentially if the Hamiltonian is finite-range and the quantum Hall response is nonzero. For a general band Hamiltonian (possibly infinite-range), we prove that the Green’s function cannot be finite-range if the quantum Hall response is nonzero. The proofs use methods of algebraic geometry. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s40598-019-00098-8 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Localization Properties of Chern Insulators | en_US |
| dc.type | Article | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T21:17:59Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Institute for Mathematical Sciences (IMS), Stony Brook University, NY | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T21:17:59Z | |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed |
