$p$-wave holographic superconductors with massive vector condensate in Born-Infeld electrodynamics

TL;DR

This paper investigates how Born-Infeld electrodynamics influences holographic p-wave superconductors with massive vector fields, analyzing critical temperature, condensation, and conductivity using variational methods.

Contribution

It introduces a model incorporating Born-Infeld electrodynamics into p-wave holographic superconductors with massive vectors, analyzing critical phenomena and conductivity.

Findings

Critical temperature and condensation values calculated for different masses.

DC conductivity diverges, indicating superconducting behavior.

Model shows similarities and differences with Einstein-Yang-Mills p-wave superconductors.

Abstract

In this paper, we have studied the effect of Born-Infeld electrodynamics in holographic $p$-wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the St\"urm-Liouville eigenvalue approach. For this $p$-wave holographic superconductor model, we have calculated the critical temperature $T_{c}$ as well as the value of the condensation operator for two different choices of $m^{2}$. We have also pointed out the similarities and dissimilarities between this model for $m^{2} = 0$ and $p$-wave holographic superconductor model constructed out of Einstein-Yang-Mills theory. We have then computed the conductivity of these holographic superconductor models using a self-consistent approach and have shown that the DC conductivity diverges.