Flow equation and fermion gap in the holographic superconductors
Abstract We reconsider the fermion spectral function in the presence of the Cooper pair condensation and identified the interaction type of complex scalar and fermion, which gives consistent results with the expected s-wave superconductor for the first time. We derive the matrix Riccati equation, wh...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)121 |
| _version_ | 1797779128616747008 |
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| author | Taewon Yuk Sang-Jin Sin |
| author_facet | Taewon Yuk Sang-Jin Sin |
| author_sort | Taewon Yuk |
| collection | DOAJ |
| description | Abstract We reconsider the fermion spectral function in the presence of the Cooper pair condensation and identified the interaction type of complex scalar and fermion, which gives consistent results with the expected s-wave superconductor for the first time. We derive the matrix Riccati equation, which allows the precise calculation of the fermion spectral function. Apart from the gap structure, we studied the effect of the chemical potential and the density and compared it with the BCS theory. We found that two theories give similar results in small chemical potential but very different ones in the high-density case, which we attribute to the correlation effect. |
| first_indexed | 2024-03-12T23:26:18Z |
| format | Article |
| id | doaj.art-86af5c3cad914c3096fa8c1469382360 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:18Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-86af5c3cad914c3096fa8c14693823602023-07-16T11:07:27ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023211910.1007/JHEP02(2023)121Flow equation and fermion gap in the holographic superconductorsTaewon Yuk0Sang-Jin Sin1Department of Physics, Hanyang UniversityDepartment of Physics, Hanyang UniversityAbstract We reconsider the fermion spectral function in the presence of the Cooper pair condensation and identified the interaction type of complex scalar and fermion, which gives consistent results with the expected s-wave superconductor for the first time. We derive the matrix Riccati equation, which allows the precise calculation of the fermion spectral function. Apart from the gap structure, we studied the effect of the chemical potential and the density and compared it with the BCS theory. We found that two theories give similar results in small chemical potential but very different ones in the high-density case, which we attribute to the correlation effect.https://doi.org/10.1007/JHEP02(2023)121Holography and Condensed Matter Physics (AdS/CMT)AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Taewon Yuk Sang-Jin Sin Flow equation and fermion gap in the holographic superconductors Journal of High Energy Physics Holography and Condensed Matter Physics (AdS/CMT) AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Flow equation and fermion gap in the holographic superconductors |
| title_full | Flow equation and fermion gap in the holographic superconductors |
| title_fullStr | Flow equation and fermion gap in the holographic superconductors |
| title_full_unstemmed | Flow equation and fermion gap in the holographic superconductors |
| title_short | Flow equation and fermion gap in the holographic superconductors |
| title_sort | flow equation and fermion gap in the holographic superconductors |
| topic | Holography and Condensed Matter Physics (AdS/CMT) AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP02(2023)121 |
| work_keys_str_mv | AT taewonyuk flowequationandfermiongapintheholographicsuperconductors AT sangjinsin flowequationandfermiongapintheholographicsuperconductors |