Nearly critical holographic superfluids

Abstract We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density of the system. We derive an effective theory for th...

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Main Authors: Aristomenis Donos, Polydoros Kailidis
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2022)028
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author Aristomenis Donos
Polydoros Kailidis
author_facet Aristomenis Donos
Polydoros Kailidis
author_sort Aristomenis Donos
collection DOAJ
description Abstract We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density of the system. We derive an effective theory for the long wavelength limit of the gapless and pseudo-gapped modes by using analytic techniques in the bulk. We match our construction with Model F in the classification of Hohenberg and Halperin and compute the complex dissipative kinetic transport coefficient in terms of thermodynamics and black hole horizon data. We carry out an analysis of the corresponding modes and argue that at finite density the dispersion relations are discontinuous between the normal and the broken phase. We compare and contrast our results with earlier numerical work.
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spelling doaj.art-3306d6f48b5548789d49ea4d17f6e4082023-08-06T11:04:46ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221213310.1007/JHEP12(2022)028Nearly critical holographic superfluidsAristomenis Donos0Polydoros Kailidis1Centre for Particle Theory and Department of Mathematical Sciences, Durham UniversityCentre for Particle Theory and Department of Mathematical Sciences, Durham UniversityAbstract We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density of the system. We derive an effective theory for the long wavelength limit of the gapless and pseudo-gapped modes by using analytic techniques in the bulk. We match our construction with Model F in the classification of Hohenberg and Halperin and compute the complex dissipative kinetic transport coefficient in terms of thermodynamics and black hole horizon data. We carry out an analysis of the corresponding modes and argue that at finite density the dispersion relations are discontinuous between the normal and the broken phase. We compare and contrast our results with earlier numerical work.https://doi.org/10.1007/JHEP12(2022)028AdS-CFT CorrespondenceHolography and Condensed Matter Physics (AdS/CMT)Holography and Hydrodynamics
spellingShingle Aristomenis Donos
Polydoros Kailidis
Nearly critical holographic superfluids
Journal of High Energy Physics
AdS-CFT Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
Holography and Hydrodynamics
title Nearly critical holographic superfluids
title_full Nearly critical holographic superfluids
title_fullStr Nearly critical holographic superfluids
title_full_unstemmed Nearly critical holographic superfluids
title_short Nearly critical holographic superfluids
title_sort nearly critical holographic superfluids
topic AdS-CFT Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
Holography and Hydrodynamics
url https://doi.org/10.1007/JHEP12(2022)028
work_keys_str_mv AT aristomenisdonos nearlycriticalholographicsuperfluids
AT polydoroskailidis nearlycriticalholographicsuperfluids