Entanglement Entropy and Wilson Loop in St\"{u}ckelberg Holographic Insulator/Superconductor Model

TL;DR

This paper investigates entanglement entropy and Wilson loops in a St"uckelberg holographic insulator/superconductor model, revealing phase transitions and universal non-monotonic behaviors as functions of chemical potential.

Contribution

It demonstrates that entanglement entropy and Wilson loops effectively probe phase transitions in the holographic superconductor model, highlighting their universal non-monotonic behavior.

Findings

Existence of confinement/deconfinement phase transition.

Universal non-monotonic behavior of entanglement entropy with chemical potential.

Wilson loop potential exhibits similar non-monotonic behavior.

Abstract

We study the behaviors of entanglement entropy and vacuum expectation value of Wilson loop in the St\"{u}ckelberg holographic insulator/superconductor model. This model has rich phase structures depending on model parameters. Both the entanglement entropy for a strip geometry and the heavy quark potential from the Wilson loop show that there exists a "confinement/deconfinement" phase transition. In addition, we find that the non-monotonic behavior of the entanglement entropy with respect to chemical potential is universal in this model. The pseudo potential from the spatial Wilson loop also has a similar non-monotonic behavior. It turns out that the entanglement entropy and Wilson loop are good probes to study the properties of the holographic superconductor phase transition.