On analytical study of holographic superconductors with Born-Infeld electrodynamics

Author(s)

Lai, Chuyu ^{[1, 2, 3]} ; Pan, Qiyuan ^{[4, 1, 2, 3]} ; Jing, Jiliang ^{[1, 2, 3]} ; Wang, Yongjiu ^{[1, 2, 3]}

Affiliation

^[1] Hunan Normal Univ, Inst Phys, Changsha 410081, Hunan - Peoples R China

^[2] Hunan Normal Univ, Dept Phys, Changsha 410081, Hunan - Peoples R China

^[3] Hunan Normal Univ, Minist Educ, Key Lab Low Dimens Quantum Struct & Quantum Contr, Changsha 410081, Hunan - Peoples R China

^[4] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil

• Document type: Journal article
• Source: Physics Letters B; v. 749, p. 437-442, OCT 7 2015.
• Web of Science Citations: 27

Abstract

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. (C) 2015 The Authors. Published by Elsevier B.V. (AU)

• FAPESP's process: 13/26173-9 - Extending the nonlinear electrodynamics to the investigation in the gravity background
• Grantee: Qiyuan Pan
• Support Opportunities: Scholarships in Brazil - Post-Doctoral