Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
Abstract Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which evades the standard Landau paradigm. In the case of Weyl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2023)221 |
| _version_ | 1797736494149926912 |
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| author | Matteo Baggioli Yan Liu Xin-Meng Wu |
| author_facet | Matteo Baggioli Yan Liu Xin-Meng Wu |
| author_sort | Matteo Baggioli |
| collection | DOAJ |
| description | Abstract Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which evades the standard Landau paradigm. In the case of Weyl semimetals, the anomalous Hall effect is a good non-local order parameter for the TQPT, as it is proportional to the separation between the Weyl nodes in momentum space. On the contrary, for nodal line semimetals (NLSM), the quest for an order parameter is still open. By taking advantage of a recently proposed holographic model for strongly-coupled NLSM, we explicitly show that entanglement entropy (EE) provides an optimal probe for nodal topology. We propose a generalized c-function, constructed from the EE, as an order parameter for the TQPT. Moreover, we find that the derivative of the renormalized EE with respect to the external coupling driving the TQPT diverges at the critical point, signaling the rise of non-local quantum correlations. Finally, we show that these quantum information quantities are able to characterize not only the critical point but also features of the quantum critical region at finite temperature. |
| first_indexed | 2024-03-12T13:13:36Z |
| format | Article |
| id | doaj.art-94c0402a311b441392a5e645b85d810a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:13:36Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-94c0402a311b441392a5e645b85d810a2023-08-27T11:05:53ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023513310.1007/JHEP05(2023)221Entanglement entropy as an order parameter for strongly coupled nodal line semimetalsMatteo Baggioli0Yan Liu1Xin-Meng Wu2School of Physics and Astronomy, Shanghai Jiao Tong UniversityCenter for Gravitational Physics, Department of Space Science, Beihang UniversitySchool of Physics and Astronomy, Shanghai Jiao Tong UniversityAbstract Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which evades the standard Landau paradigm. In the case of Weyl semimetals, the anomalous Hall effect is a good non-local order parameter for the TQPT, as it is proportional to the separation between the Weyl nodes in momentum space. On the contrary, for nodal line semimetals (NLSM), the quest for an order parameter is still open. By taking advantage of a recently proposed holographic model for strongly-coupled NLSM, we explicitly show that entanglement entropy (EE) provides an optimal probe for nodal topology. We propose a generalized c-function, constructed from the EE, as an order parameter for the TQPT. Moreover, we find that the derivative of the renormalized EE with respect to the external coupling driving the TQPT diverges at the critical point, signaling the rise of non-local quantum correlations. Finally, we show that these quantum information quantities are able to characterize not only the critical point but also features of the quantum critical region at finite temperature.https://doi.org/10.1007/JHEP05(2023)221Holography and Condensed Matter Physics (AdS/CMT)Gauge-Gravity Correspondence |
| spellingShingle | Matteo Baggioli Yan Liu Xin-Meng Wu Entanglement entropy as an order parameter for strongly coupled nodal line semimetals Journal of High Energy Physics Holography and Condensed Matter Physics (AdS/CMT) Gauge-Gravity Correspondence |
| title | Entanglement entropy as an order parameter for strongly coupled nodal line semimetals |
| title_full | Entanglement entropy as an order parameter for strongly coupled nodal line semimetals |
| title_fullStr | Entanglement entropy as an order parameter for strongly coupled nodal line semimetals |
| title_full_unstemmed | Entanglement entropy as an order parameter for strongly coupled nodal line semimetals |
| title_short | Entanglement entropy as an order parameter for strongly coupled nodal line semimetals |
| title_sort | entanglement entropy as an order parameter for strongly coupled nodal line semimetals |
| topic | Holography and Condensed Matter Physics (AdS/CMT) Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP05(2023)221 |
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