Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models
We introduce and study three-dimensional quantum dimer models with positive resonance terms. We demonstrate that their ground state wave functions exhibit a nonlocal sign structure that can be exactly formulated in terms of loops, and as a direct consequence, monomer excitations obey Fermi statistic...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88760 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1826196199703576576 |
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| author | Ivanov, Vsevolod Qi, Yang Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Ivanov, Vsevolod Qi, Yang Fu, Liang |
| author_sort | Ivanov, Vsevolod |
| collection | MIT |
| description | We introduce and study three-dimensional quantum dimer models with positive resonance terms. We demonstrate that their ground state wave functions exhibit a nonlocal sign structure that can be exactly formulated in terms of loops, and as a direct consequence, monomer excitations obey Fermi statistics. The sign structure and Fermi statistics in these “signful” quantum dimer models can be naturally described by a parton construction, which becomes exact at the solvable point. |
| first_indexed | 2024-09-23T10:23:05Z |
| format | Article |
| id | mit-1721.1/88760 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:23:05Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887602022-09-26T17:32:49Z Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models Ivanov, Vsevolod Qi, Yang Fu, Liang Massachusetts Institute of Technology. Department of Physics Ivanov, Vsevolod Fu, Liang We introduce and study three-dimensional quantum dimer models with positive resonance terms. We demonstrate that their ground state wave functions exhibit a nonlocal sign structure that can be exactly formulated in terms of loops, and as a direct consequence, monomer excitations obey Fermi statistics. The sign structure and Fermi statistics in these “signful” quantum dimer models can be naturally described by a parton construction, which becomes exact at the solvable point. United States. Dept. of Energy. Division of Materials Sciences and Engineering (Award DE-SC0010526) 2014-08-18T16:03:01Z 2014-08-18T16:03:01Z 2014-02 2014-02 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88760 Ivanov, Vsevolod, Yang Qi, and Liang Fu. “Loops, Sign Structures, and Emergent Fermi Statistics in Three-Dimensional Quantum Dimer Models.” Phys. Rev. B 89, no. 8 (February 2014). © 2014 American Physical Society https://orcid.org/0000-0002-8803-1017 en_US http://dx.doi.org/10.1103/PhysRevB.89.085128 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. application/pdf American Physical Society American Physical Society |
| spellingShingle | Ivanov, Vsevolod Qi, Yang Fu, Liang Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models |
| title | Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models |
| title_full | Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models |
| title_fullStr | Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models |
| title_full_unstemmed | Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models |
| title_short | Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models |
| title_sort | loops sign structures and emergent fermi statistics in three dimensional quantum dimer models |
| url | http://hdl.handle.net/1721.1/88760 https://orcid.org/0000-0002-8803-1017 |
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