dc.contributor.author | Shen, Huitao | |
dc.contributor.author | Zhen, Bo | |
dc.contributor.author | Fu, Liang | |
dc.date.accessioned | 2018-04-09T18:00:29Z | |
dc.date.available | 2018-04-09T18:00:29Z | |
dc.date.issued | 2018-04 | |
dc.date.submitted | 2017-08 | |
dc.identifier.issn | 0031-9007 | |
dc.identifier.issn | 1079-7114 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/114634 | |
dc.description.abstract | We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify “gapped” bands in one and two dimensions by explicitly finding their topological invariants. We find nontrivial generalizations of the Chern number in two dimensions, and a new classification in one dimension, whose topology is determined by the energy dispersion rather than the energy eigenstates. We then study the bulk-edge correspondence and the topological phase transition in two dimensions. Different from the Hermitian case, the transition generically involves an extended intermediate phase with complex-energy band degeneracies at isolated “exceptional points” in momentum space. We also systematically classify all types of band degeneracies. | en_US |
dc.description.sponsorship | United States. Department of Energy. Office of Basic Energy Sciences (Award DE-SC0010526) | en_US |
dc.description.sponsorship | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-13-D-0001) | en_US |
dc.description.sponsorship | United States. Air Force Office of Scientific Research (Grant FA9550-18-1-0133) | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevLett.120.146402 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | American Physical Society | en_US |
dc.title | Topological Band Theory for Non-Hermitian Hamiltonians | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Shen, Huitao et al. "Topological Band Theory for Non-Hermitian Hamiltonians." Physical Review Letters 120, 14 (April 2018): 146402 © 2018 American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
dc.contributor.mitauthor | Shen, Huitao | |
dc.contributor.mitauthor | Zhen, Bo | |
dc.contributor.mitauthor | Fu, Liang | |
dc.relation.journal | Physical Review Letters | en_US |
dc.eprint.version | Final published version | 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 | 2018-04-06T18:00:15Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | American Physical Society | |
dspace.orderedauthors | Shen, Huitao; Zhen, Bo; Fu, Liang | en_US |
dspace.embargo.terms | N | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-7572-4594 | |
dc.identifier.orcid | https://orcid.org/0000-0002-8803-1017 | |
mit.license | PUBLISHER_POLICY | en_US |