Phase transition via entanglement entropy in $AdS_3/CFT_2$ superconductors

TL;DR

This paper investigates phase transitions in two-dimensional holographic superconductors using entanglement entropy, demonstrating that discontinuities in entropy can signal first-order phase transitions.

Contribution

It introduces a framework to identify phase transitions via holographic entanglement entropy in 2D holographic superconductors, supported by a fully backreacted model.

Findings

Phase transition indicated by a discontinuity in entanglement entropy.

Holographic entanglement entropy effectively describes phase changes.

First-order phase transition characterized in the model.

Abstract

The purpose of this report is to provide a framework for defining phase transition processes in two dimensional holographic superconductors, and to illustrate how they are useful to be described by holographic entanglement entropy. We study holographic entanglement entropy in a two dimensional fully backrected model for holographic superconductors. We prove that phase transition could be observe using a discontinuty in the first order of entropy.