Holographic entanglement entropy in metal/superconductor phase transition with Born-Infeld electrodynamics

TL;DR

This paper studies how holographic entanglement entropy behaves during the metal/superconductor phase transition within Born-Infeld electrodynamics, revealing complex dependencies on parameters and subsystem size.

Contribution

It provides a detailed analysis of entanglement entropy as a probe for phase transitions in a holographic superconductor model with Born-Infeld electrodynamics, including full backreaction effects.

Findings

Entanglement entropy decreases with Born-Infeld parameter in the metal phase for operator <O_->.

In the superconducting phase, entropy increases then decreases, forming a peak at a threshold parameter.

The threshold parameter decreases as the subsystem width decreases.

Abstract

We investigate the holographic entanglement entropy in the metal/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction and note that the entropy is a good probe to study the properties of the phase transition. For the operator $<\mathcal{O}_{-}>$, we find that the entanglement entropy decreases (or increases) with the increase of the Born-Infeld parameter $b$ in the metal (or superconducting) phase. For the operator $<\mathcal{O}_{+}>$, we observe that, with the increase of the Born-Infeld parameter, the entanglement entropy in the metal phase decreases monotonously but the entropy in the superconducting phase first increases and forms a peak at some threshold $b_{T}$, then decreases continuously. Moreover, the value of $b_{T}$ becomes smaller as the width of the subsystem $A$ decreases.