On analytical study of holographic superconductors with Born-Infeld electrodynamics
arXiv:1508.05926 · doi:10.1016/j.physletb.2015.08.014
Abstract
Based on the Sturm-Liouville eigenvalue problem, Banerjee \emph{et al.} proposed a perturbative approach to analytically investigate the properties of the ()-dimensional superconductor with Born-Infeld electrodynamics [Phys. Rev. D {\bf 87}, 104001 (2013)]. 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.
arXiv comment13 pages, 4 tables, accepted for publication in Phys. Lett. B
References in corpus (19)
- Gauge Theory Correlators from Non-Critical String Theory
- Building an AdS/CFT superconductor
- Lectures on holographic methods for condensed matter physics
- Breaking an Abelian gauge symmetry near a black hole horizon
- Lectures on Holographic Superfluidity and Superconductivity
- Holographic Superconductors with Various Condensates
- Introduction to Holographic Superconductors
- Holographic superconductors in the Born-Infeld electrodynamics
- Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
- Analytical Studies on Holographic Insulator/Superconductor Phase Transitions
- Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics
- AdS/CFT superconductors with Power Maxwell electrodynamics: reminiscent of the Meissner effect
- Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
- Holographic superconductor models with the Maxwell field strength corrections
- Holographic Superconductor/Insulator Transition with logarithmic electromagnetic field in Gauss-Bonnet gravity
- Holographic entanglement entropy in metal/superconductor phase transition with Born-Infeld electrodynamics
- Holographic superconductors in Born-Infeld electrodynamics and external magnetic field
- Holographic p-wave superconductor models with Weyl corrections
- The holographic superconductors in higher-dimensional AdS soliton
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- Dyonic Born-Infeld black hole in four-dimensional Horndeski gravity
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- Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics
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