DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Gil Young | ko |
dc.contributor.author | Hsieh, Chang-Tse | ko |
dc.contributor.author | Morimoto, Takahiro | ko |
dc.contributor.author | Ryu, Shinsei | ko |
dc.date.accessioned | 2015-06-29T04:44:43Z | - |
dc.date.available | 2015-06-29T04:44:43Z | - |
dc.date.created | 2015-06-23 | - |
dc.date.created | 2015-06-23 | - |
dc.date.created | 2015-06-23 | - |
dc.date.issued | 2015-05 | - |
dc.identifier.citation | PHYSICAL REVIEW B, v.91, no.19 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10203/199460 | - |
dc.description.abstract | Twisting symmetries provides an efficient method to diagnose symmetry-protected topological (SPT) phases. In this paper, edge theories of (2+1)-dimensional topological phases protected by reflection as well as other symmetries are studied by twisting reflection symmetry, which effectively puts the edge theories on an unoriented space-time, such as the Klein bottle. A key technical step taken in this paper is the use of the so-called cross-cap states, which encode entirely the unoriented nature of space-time, and can be obtained by rearranging the space-time geometry and exchanging the role of space and time coordinates. When the system is in a nontrivial SPT phase, we find that the corresponding cross-cap state is noninvariant under the action of the symmetries of the SPT phase, but acquires an anomalous phase. This anomalous phase, with a proper definition of a reference state, on which symmetry acts trivially, reproduces the known classification of (2+1)-dimensional bosonic and fermionic SPT phases protected by reflection symmetry, including in particular the Z(8) classification of topological crystalline superconductors protected by reflection and time-reversal symmetries. | - |
dc.language | English | - |
dc.publisher | AMER PHYSICAL SOC | - |
dc.title | Topological phases protected by reflection symmetry and cross-cap states | - |
dc.type | Article | - |
dc.identifier.wosid | 000355090400008 | - |
dc.identifier.scopusid | 2-s2.0-84930216569 | - |
dc.type.rims | ART | - |
dc.citation.volume | 91 | - |
dc.citation.issue | 19 | - |
dc.citation.publicationname | PHYSICAL REVIEW B | - |
dc.identifier.doi | 10.1103/PhysRevB.91.195142 | - |
dc.contributor.localauthor | Cho, Gil Young | - |
dc.contributor.nonIdAuthor | Hsieh, Chang-Tse | - |
dc.contributor.nonIdAuthor | Morimoto, Takahiro | - |
dc.contributor.nonIdAuthor | Ryu, Shinsei | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | INSULATORS | - |
dc.subject.keywordPlus | SUPERCONDUCTORS | - |
dc.subject.keywordPlus | CONSISTENCY | - |
dc.subject.keywordPlus | STRINGS | - |
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