An analytical approach to compute conductivity of p-wave holographic superconductors

TL;DR

This paper analytically derives the frequency-dependent conductivity and band gap energy of p-wave holographic superconductors in an AdS4 background, using Einstein-Yang-Mills theory and self-consistent methods, with results showing good agreement.

Contribution

It provides the first analytical expressions for conductivity and band gap energy of p-wave holographic superconductors considering Einstein-Yang-Mills theory.

Findings

Analytical expressions for conductivity across frequency ranges.

Band gap energy estimates agree between methods.

Conductivity behavior matches expected physical properties.

Abstract

In this article we have analytically deduced the frequency dependent expression of conductivity and the band gap energy in $AdS_{4}$ Schwarzschild background for p-wave holographic superconductors considering Einstein-Yang-Mills theory. We also used the self consistent approach to obtain the expressions of conductivity for different frequency ranges at low temperature. We then compared the imaginary part of conductivity at low frequency region. The band gap energy obtained from these two methods seem to agree very well.