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- Publisher Website: 10.1103/PhysRevLett.113.080403
- Scopus: eid_2-s2.0-84907301860
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Article: Braiding statistics of loop excitations in three dimensions
Title | Braiding statistics of loop excitations in three dimensions |
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Authors | |
Issue Date | 2014 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prl/ |
Citation | Physical Review Letters, 2014, v. 113 n. 8, article no. 080403 How to Cite? |
Abstract | While it is well known that three dimensional quantum many-body systems can support nontrivial braiding statistics between particlelike and looplike excitations, or between two looplike excitations, we argue that a more fundamental quantity is the statistical phase associated with braiding one loop α around another loop β, while both are linked to a third loop γ. We study this three-loop braiding in the context of (ZN)K gauge theories which are obtained by gauging a gapped, short-range entangled lattice boson model with (ZN)K symmetry. We find that different short-range entangled bosonic states with the same (ZN)K symmetry (i.e., different symmetry-protected topological phases) can be distinguished by their three-loop braiding statistics. © 2014 American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/266990 |
ISSN | 2023 Impact Factor: 8.1 2023 SCImago Journal Rankings: 3.040 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, Chenjie | - |
dc.contributor.author | Levin, Michael | - |
dc.date.accessioned | 2019-01-31T07:20:11Z | - |
dc.date.available | 2019-01-31T07:20:11Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Physical Review Letters, 2014, v. 113 n. 8, article no. 080403 | - |
dc.identifier.issn | 0031-9007 | - |
dc.identifier.uri | http://hdl.handle.net/10722/266990 | - |
dc.description.abstract | While it is well known that three dimensional quantum many-body systems can support nontrivial braiding statistics between particlelike and looplike excitations, or between two looplike excitations, we argue that a more fundamental quantity is the statistical phase associated with braiding one loop α around another loop β, while both are linked to a third loop γ. We study this three-loop braiding in the context of (ZN)K gauge theories which are obtained by gauging a gapped, short-range entangled lattice boson model with (ZN)K symmetry. We find that different short-range entangled bosonic states with the same (ZN)K symmetry (i.e., different symmetry-protected topological phases) can be distinguished by their three-loop braiding statistics. © 2014 American Physical Society. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prl/ | - |
dc.relation.ispartof | Physical Review Letters | - |
dc.title | Braiding statistics of loop excitations in three dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevLett.113.080403 | - |
dc.identifier.scopus | eid_2-s2.0-84907301860 | - |
dc.identifier.volume | 113 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | article no. 080403 | - |
dc.identifier.epage | article no. 080403 | - |
dc.identifier.eissn | 1079-7114 | - |
dc.identifier.isi | WOS:000340747900001 | - |
dc.identifier.issnl | 0031-9007 | - |