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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Main Authors: Shuta Ishigaki, Zhaojie Xu
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
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.
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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