On analytical study of holographic superconductors with Born-Infeld electrodynamics

TL;DR

This paper improves analytical methods to study holographic superconductors with Born-Infeld electrodynamics, confirming that higher Born-Infeld corrections hinder condensation formation without altering critical phenomena.

Contribution

It introduces an iterative analytical approach that enhances previous results and extends the study to higher-dimensional superconductors with Born-Infeld electrodynamics.

Findings

Higher Born-Infeld corrections make condensation harder to form.

The critical phenomena remain unaffected by Born-Infeld corrections.

Analytical results align well with numerical findings.

Abstract

Based on the Sturm-Liouville eigenvalue problem, Banerjee \emph{et al.} proposed a perturbative approach to analytically investigate the properties of the ($2+1$)-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.