Holographic Entanglement Entropy in Insulator/Superconductor Transition

TL;DR

This paper explores how entanglement entropy behaves during the insulator/superconductor phase transition using holographic methods, revealing non-monotonic patterns and multiple phases depending on system parameters.

Contribution

It provides a detailed holographic analysis of entanglement entropy across the insulator/superconductor transition, including multiple geometric configurations and phase characterizations.

Findings

Entanglement entropy shows non-monotonic behavior during the transition.

Four distinct phases are identified based on chemical potential and belt width.

Holographic entanglement entropy varies with geometry and system parameters.

Abstract

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted gravitational background describing the insulator/superconductor phase transition. The non-monotonic behavior of the entanglement entropy is found in this system. In the belt geometry case, there exist four phases characterized by the chemical potential and belt width.