On analytical study of holographic superconductors with Born–Infeld electrodynamics

Based on the Sturm–Liouville eigenvalue problem, Banerjee et al. proposed a perturbative approach to analytically investigate the properties of the (2+1)-dimensional superconductor with Born–Infeld electrodynamics (Banerjee et al., 2013) [29]. By introducing an iterative procedure, we will further i...

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Main Authors: Chuyu Lai, Qiyuan Pan, Jiliang Jing, Yongjiu Wang
Format: Article
Language:English
Published: Elsevier 2015-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315006152
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author Chuyu Lai
Qiyuan Pan
Jiliang Jing
Yongjiu Wang
author_facet Chuyu Lai
Qiyuan Pan
Jiliang Jing
Yongjiu Wang
author_sort Chuyu Lai
collection DOAJ
description Based on the Sturm–Liouville eigenvalue problem, Banerjee et al. proposed a perturbative approach to analytically investigate the properties of the (2+1)-dimensional superconductor with Born–Infeld electrodynamics (Banerjee et al., 2013) [29]. By introducing an iterative procedure, we will further improve the analytical results and the consistency with the numerical findings, and can easily extend the analytical study to the higher-dimensional superconductor with Born–Infeld electrodynamics. We observe that the higher Born–Infeld corrections make it harder for the condensation to form but do not affect the critical phenomena of the system. Our analytical results can be used to back up the numerical computations for the holographic superconductors with various condensates in Born–Infeld electrodynamics.
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spelling doaj.art-54b3f7be3dd14618a0825e3a4994bb462022-12-21T17:58:29ZengElsevierPhysics Letters B0370-26931873-24452015-10-01749C43744210.1016/j.physletb.2015.08.014On analytical study of holographic superconductors with Born–Infeld electrodynamicsChuyu Lai0Qiyuan Pan1Jiliang Jing2Yongjiu Wang3Institute of Physics and Department of Physics, Hunan Normal University, Changsha, Hunan 410081, ChinaInstitute of Physics and Department of Physics, Hunan Normal University, Changsha, Hunan 410081, ChinaInstitute of Physics and Department of Physics, Hunan Normal University, Changsha, Hunan 410081, ChinaInstitute of Physics and Department of Physics, Hunan Normal University, Changsha, Hunan 410081, ChinaBased on the Sturm–Liouville eigenvalue problem, Banerjee et al. proposed a perturbative approach to analytically investigate the properties of the (2+1)-dimensional superconductor with Born–Infeld electrodynamics (Banerjee et al., 2013) [29]. By introducing an iterative procedure, we will further improve the analytical results and the consistency with the numerical findings, and can easily extend the analytical study to the higher-dimensional superconductor with Born–Infeld electrodynamics. We observe that the higher Born–Infeld corrections make it harder for the condensation to form but do not affect the critical phenomena of the system. Our analytical results can be used to back up the numerical computations for the holographic superconductors with various condensates in Born–Infeld electrodynamics.http://www.sciencedirect.com/science/article/pii/S0370269315006152
spellingShingle Chuyu Lai
Qiyuan Pan
Jiliang Jing
Yongjiu Wang
On analytical study of holographic superconductors with Born–Infeld electrodynamics
Physics Letters B
title On analytical study of holographic superconductors with Born–Infeld electrodynamics
title_full On analytical study of holographic superconductors with Born–Infeld electrodynamics
title_fullStr On analytical study of holographic superconductors with Born–Infeld electrodynamics
title_full_unstemmed On analytical study of holographic superconductors with Born–Infeld electrodynamics
title_short On analytical study of holographic superconductors with Born–Infeld electrodynamics
title_sort on analytical study of holographic superconductors with born infeld electrodynamics
url http://www.sciencedirect.com/science/article/pii/S0370269315006152
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