Valence bond fluctuations in the Kitaev spin model
We introduce valence bond fluctuations, or bipartite fluctuations associated to bond-bond correlation functions, to characterize quantum spin liquids and the entanglement properties of them. Using analytical and numerical approaches, we find an identical scaling law between valence bond fluctuations...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013005 |
| _version_ | 1797211595409981440 |
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| author | Fan Yang Kirill Plekhanov Karyn Le Hur |
| author_facet | Fan Yang Kirill Plekhanov Karyn Le Hur |
| author_sort | Fan Yang |
| collection | DOAJ |
| description | We introduce valence bond fluctuations, or bipartite fluctuations associated to bond-bond correlation functions, to characterize quantum spin liquids and the entanglement properties of them. Using analytical and numerical approaches, we find an identical scaling law between valence bond fluctuations and entanglement entropy in the two-dimensional Kitaev spin model and in one-dimensional chain analogs. We also show how these valence bond fluctuations can locate, via the linear scaling prefactor, the quantum phase transitions between the three gapped and the gapless Majorana semimetal phases in the honeycomb model. We then study the effect of a uniform magnetic field along the [111] direction opening a gap in the intermediate phase which becomes topological. We still obtain a robust signal to characterize the transitions toward the three gapped phases. The area-law behavior of such bipartite fluctuations in two dimensions is also distinguishable from the one in the Néel magnetic state that follows a volume square growth. |
| first_indexed | 2024-04-24T10:28:59Z |
| format | Article |
| id | doaj.art-43f0b35a590a4338899296f794855983 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:28:59Z |
| publishDate | 2020-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-43f0b35a590a4338899296f7948559832024-04-12T16:48:14ZengAmerican Physical SocietyPhysical Review Research2643-15642020-01-012101300510.1103/PhysRevResearch.2.013005Valence bond fluctuations in the Kitaev spin modelFan YangKirill PlekhanovKaryn Le HurWe introduce valence bond fluctuations, or bipartite fluctuations associated to bond-bond correlation functions, to characterize quantum spin liquids and the entanglement properties of them. Using analytical and numerical approaches, we find an identical scaling law between valence bond fluctuations and entanglement entropy in the two-dimensional Kitaev spin model and in one-dimensional chain analogs. We also show how these valence bond fluctuations can locate, via the linear scaling prefactor, the quantum phase transitions between the three gapped and the gapless Majorana semimetal phases in the honeycomb model. We then study the effect of a uniform magnetic field along the [111] direction opening a gap in the intermediate phase which becomes topological. We still obtain a robust signal to characterize the transitions toward the three gapped phases. The area-law behavior of such bipartite fluctuations in two dimensions is also distinguishable from the one in the Néel magnetic state that follows a volume square growth.http://doi.org/10.1103/PhysRevResearch.2.013005 |
| spellingShingle | Fan Yang Kirill Plekhanov Karyn Le Hur Valence bond fluctuations in the Kitaev spin model Physical Review Research |
| title | Valence bond fluctuations in the Kitaev spin model |
| title_full | Valence bond fluctuations in the Kitaev spin model |
| title_fullStr | Valence bond fluctuations in the Kitaev spin model |
| title_full_unstemmed | Valence bond fluctuations in the Kitaev spin model |
| title_short | Valence bond fluctuations in the Kitaev spin model |
| title_sort | valence bond fluctuations in the kitaev spin model |
| url | http://doi.org/10.1103/PhysRevResearch.2.013005 |
| work_keys_str_mv | AT fanyang valencebondfluctuationsinthekitaevspinmodel AT kirillplekhanov valencebondfluctuationsinthekitaevspinmodel AT karynlehur valencebondfluctuationsinthekitaevspinmodel |