Holographic insulator/superconductor phase transition in Born-Infeld electrodynamics

TL;DR

This paper investigates how Born-Infeld electrodynamics influences holographic insulator/superconductor phase transitions, using both numerical and analytical methods, and finds that the critical chemical potential remains unaffected by the Born-Infeld parameter.

Contribution

It provides a combined numerical and analytical study of the phase transition in Born-Infeld electrodynamics, confirming the critical chemical potential's independence from the Born-Infeld parameter.

Findings

Critical chemical potential is unaffected by the Born-Infeld parameter.

Numerical and analytical results are consistent.

Born-Infeld electrodynamics does not alter the phase transition point.

Abstract

We studied holographic insulator/superconductor phase transition in the framework of Born-Infeld electrodynamics both numerically and analytically. First we numerically study the effects of the Born-Infeld electrodynamics on the phase transition, find that the critical chemical potential is not changed by the Born-Infeld parameter. Then we employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition. The analytical results obtained are found to be consistent with the numerical results.