Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice
In quantum spin liquid states, the fractionalized spinon excitations can carry fractional crystal symmetry quantum numbers, and this symmetry fractionalization distinguishes different symmetry-enriched spin liquid states with identical intrinsic topological order. In this work we propose a simple wa...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/95773 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1811098370938241024 |
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| author | Qi, Yang Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Qi, Yang Fu, Liang |
| author_sort | Qi, Yang |
| collection | MIT |
| description | In quantum spin liquid states, the fractionalized spinon excitations can carry fractional crystal symmetry quantum numbers, and this symmetry fractionalization distinguishes different symmetry-enriched spin liquid states with identical intrinsic topological order. In this work we propose a simple way to detect signatures of such crystal symmetry fractionalizations from the crystal symmetry representations of the ground state wave function. We demonstrate our method on projected Z[subscript 2] spin liquid wave functions on the kagome lattice, and show that it can be used to classify generic wave functions. Particularly our method can be used to distinguish several proposed candidates of Z[subscript 2] spin liquid states on the kagome lattice. |
| first_indexed | 2024-09-23T17:13:59Z |
| format | Article |
| id | mit-1721.1/95773 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:13:59Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/957732022-10-03T11:15:12Z Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice Qi, Yang Fu, Liang Massachusetts Institute of Technology. Department of Physics Fu, Liang In quantum spin liquid states, the fractionalized spinon excitations can carry fractional crystal symmetry quantum numbers, and this symmetry fractionalization distinguishes different symmetry-enriched spin liquid states with identical intrinsic topological order. In this work we propose a simple way to detect signatures of such crystal symmetry fractionalizations from the crystal symmetry representations of the ground state wave function. We demonstrate our method on projected Z[subscript 2] spin liquid wave functions on the kagome lattice, and show that it can be used to classify generic wave functions. Particularly our method can be used to distinguish several proposed candidates of Z[subscript 2] spin liquid states on the kagome lattice. United States. Dept. of Energy. Division of Materials Sciences and Engineering (Award DE-SC0010526) Perimeter Institute for Theoretical Physics Canada. Industry Canada Ontario. Ministry of Research and Innovation 2015-03-03T20:21:56Z 2015-03-03T20:21:56Z 2015-03 2015-01 2015-03-02T23:00:04Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/95773 Qi, Yang, and Liang Fu. "Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice." Phys. Rev. B 91, 100401 (March 2015). © 2015 American Physical Society https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevB.91.100401 Physical Review B 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Qi, Yang Fu, Liang Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice |
| title | Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice |
| title_full | Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice |
| title_fullStr | Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice |
| title_full_unstemmed | Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice |
| title_short | Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice |
| title_sort | detecting crystal symmetry fractionalization from the ground state application to z subscript 2 spin liquids on the kagome lattice |
| url | http://hdl.handle.net/1721.1/95773 https://orcid.org/0000-0002-8803-1017 |
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