Deconfined Quantum Critical Points: Symmetries and Dualities
The deconfined quantum critical point (QCP), separating the Néel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of (2 + 1)D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher criticality. In this work, we present multiple equivalent des...
| Main Authors: | , , , , |
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| Format: | Article |
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American Physical Society (APS)
2018
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| Online Access: | http://hdl.handle.net/1721.1/116941 https://orcid.org/0000-0002-3488-4532 |
| _version_ | 1811095488249724928 |
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| author | Wang, Chong Xu, Cenke Nahum, Adam Metlitski, Maxim A. Senthil, Todadri |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wang, Chong Xu, Cenke Nahum, Adam Metlitski, Maxim A. Senthil, Todadri |
| author_sort | Wang, Chong |
| collection | MIT |
| description | The deconfined quantum critical point (QCP), separating the Néel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of (2 + 1)D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher criticality. In this work, we present multiple equivalent descriptions of deconfined QCPs, and use these to address the possibility of enlarged emergent symmetries in the low-energy limit. The easy-plane deconfined QCP, besides its previously discussed self-duality, is dual to N[subscript f] = 2 fermionic quantum electrodynamics, which has its own self-duality and hence may have an O(4) × Z[superscript T][subscript 2] symmetry. We propose several dualities for the deconfined QCP with SU(2) spin symmetry which together make natural the emergence of a previously suggested SO(5) symmetry rotating the Néel and valence bond solid orders. These emergent symmetries are implemented anomalously. The associated infrared theories can also be viewed as surface descriptions of (3 + 1)D topological paramagnets, giving further insight into the dualities. We describe a number of numerical tests of these dualities. We also discuss the possibility of “pseudocritical” behavior for deconfined critical points, and the meaning of the dualities and emergent symmetries in such a scenario. |
| first_indexed | 2024-09-23T16:17:32Z |
| format | Article |
| id | mit-1721.1/116941 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T16:17:32Z |
| publishDate | 2018 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1169412022-09-29T19:26:05Z Deconfined Quantum Critical Points: Symmetries and Dualities Wang, Chong Xu, Cenke Nahum, Adam Metlitski, Maxim A. Senthil, Todadri Massachusetts Institute of Technology. Department of Physics Nahum, Adam Metlitski, Maxim A. Senthil, Todadri The deconfined quantum critical point (QCP), separating the Néel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of (2 + 1)D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher criticality. In this work, we present multiple equivalent descriptions of deconfined QCPs, and use these to address the possibility of enlarged emergent symmetries in the low-energy limit. The easy-plane deconfined QCP, besides its previously discussed self-duality, is dual to N[subscript f] = 2 fermionic quantum electrodynamics, which has its own self-duality and hence may have an O(4) × Z[superscript T][subscript 2] symmetry. We propose several dualities for the deconfined QCP with SU(2) spin symmetry which together make natural the emergence of a previously suggested SO(5) symmetry rotating the Néel and valence bond solid orders. These emergent symmetries are implemented anomalously. The associated infrared theories can also be viewed as surface descriptions of (3 + 1)D topological paramagnets, giving further insight into the dualities. We describe a number of numerical tests of these dualities. We also discuss the possibility of “pseudocritical” behavior for deconfined critical points, and the meaning of the dualities and emergent symmetries in such a scenario. Engineering and Physical Sciences Research Council (Grant EP/ N028678/1) Gordon and Betty Moore Foundation (Grant GBMF4303) United States. Department of Energy (Grant DE-SC0008739) Simons Foundation (Simons Investigator Award) 2018-07-12T17:38:58Z 2018-07-12T17:38:58Z 2017-09 2017-05 2018-03-02T14:25:55Z Article http://purl.org/eprint/type/JournalArticle 2160-3308 http://hdl.handle.net/1721.1/116941 Wang, Chong, et al. “Deconfined Quantum Critical Points: Symmetries and Dualities.” Physical Review X, vol. 7, no. 3, Sept. 2017. https://orcid.org/0000-0002-3488-4532 http://dx.doi.org/10.1103/PHYSREVX.7.031051 Physical Review X Attribution 3.0 Unported (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/ application/pdf American Physical Society (APS) Physical Review X |
| spellingShingle | Wang, Chong Xu, Cenke Nahum, Adam Metlitski, Maxim A. Senthil, Todadri Deconfined Quantum Critical Points: Symmetries and Dualities |
| title | Deconfined Quantum Critical Points: Symmetries and Dualities |
| title_full | Deconfined Quantum Critical Points: Symmetries and Dualities |
| title_fullStr | Deconfined Quantum Critical Points: Symmetries and Dualities |
| title_full_unstemmed | Deconfined Quantum Critical Points: Symmetries and Dualities |
| title_short | Deconfined Quantum Critical Points: Symmetries and Dualities |
| title_sort | deconfined quantum critical points symmetries and dualities |
| url | http://hdl.handle.net/1721.1/116941 https://orcid.org/0000-0002-3488-4532 |
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