Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model
Abstract We study an explicit formula for the thermodynamic potential of the AdS dyonic black brane solution with an axio-dilaton hair, which was discovered in an extension of the (3 + 1)d Gubser-Rocha model enjoying S-duality. From the thermodynamic potential, we can compute the magnetization and t...
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2024-12-01
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Online Access: | https://doi.org/10.1007/JHEP12(2024)182 |
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author | Shuta Ishigaki Zhaojie Xu |
author_facet | Shuta Ishigaki Zhaojie Xu |
author_sort | Shuta Ishigaki |
collection | DOAJ |
description | Abstract We study an explicit formula for the thermodynamic potential of the AdS dyonic black brane solution with an axio-dilaton hair, which was discovered in an extension of the (3 + 1)d Gubser-Rocha model enjoying S-duality. From the thermodynamic potential, we can compute the magnetization and the magnetic susceptibilities of the dyonic solution. The result of the magnetization is negative implying that the system is diamagnetic. Subsequently, we consider a specific neutral limit of the dyonic solution. In this setup, we find that the system exhibits spontaneous breaking of a global U(1) symmetry. The order parameter is given by a complex operator which is dual to the axio-dilaton field in the bulk. Interestingly, the system has a finite Hall conductivity even in the absence of the external magnetic field, and it is related to the phase of the complex operator. |
format | Article |
id | doaj-art-a04c8e07790446e1b13c40b4e89087b1 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2024-12-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-a04c8e07790446e1b13c40b4e89087b12025-01-05T12:06:45ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212610.1007/JHEP12(2024)182Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha modelShuta Ishigaki0Zhaojie Xu1Department of Physics, Shanghai UniversityDepartment of Physics, Shanghai UniversityAbstract We study an explicit formula for the thermodynamic potential of the AdS dyonic black brane solution with an axio-dilaton hair, which was discovered in an extension of the (3 + 1)d Gubser-Rocha model enjoying S-duality. From the thermodynamic potential, we can compute the magnetization and the magnetic susceptibilities of the dyonic solution. The result of the magnetization is negative implying that the system is diamagnetic. Subsequently, we consider a specific neutral limit of the dyonic solution. In this setup, we find that the system exhibits spontaneous breaking of a global U(1) symmetry. The order parameter is given by a complex operator which is dual to the axio-dilaton field in the bulk. Interestingly, the system has a finite Hall conductivity even in the absence of the external magnetic field, and it is related to the phase of the complex operator.https://doi.org/10.1007/JHEP12(2024)182AdS-CFT CorrespondenceHolography and Condensed Matter Physics (AdS/CMT) |
spellingShingle | Shuta Ishigaki Zhaojie Xu Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model Journal of High Energy Physics AdS-CFT Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
title | Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model |
title_full | Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model |
title_fullStr | Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model |
title_full_unstemmed | Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model |
title_short | Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model |
title_sort | thermodynamics magnetic properties and global u 1 symmetry breaking of the s type gubser rocha model |
topic | AdS-CFT Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
url | https://doi.org/10.1007/JHEP12(2024)182 |
work_keys_str_mv | AT shutaishigaki thermodynamicsmagneticpropertiesandglobalu1symmetrybreakingofthestypegubserrochamodel AT zhaojiexu thermodynamicsmagneticpropertiesandglobalu1symmetrybreakingofthestypegubserrochamodel |