Entanglement Entropy in Holographic P-Wave Superconductor/Insulator Model

TL;DR

This paper investigates entanglement entropy in a holographic p-wave superconductor/insulator model, revealing how phase transition order changes with back reaction and how entanglement entropy varies with chemical potential.

Contribution

It extends previous holographic superconductor studies by analyzing p-wave models and their entanglement entropy behavior during phase transitions.

Findings

Transition changes from second to first order with increased back reaction.

Entanglement entropy increases monotonically with chemical potential.

No additional first order transition in the superconducting phase for p-wave case.

Abstract

We continue our study of entanglement entropy in the holographic superconducting phase transitions. In this paper we consider the holographic p-wave superconductor/insulator model, where as the back reaction increases, the transition is changed from second order to first order. We find that unlike the s-wave case, there is no additional first order transition in the superconducting phase. We calculate the entanglement entropy for two strip geometries. One is parallel to the super current, and the other is orthogonal to the super current. In both cases, we find that the entanglement entropy monotonically increases with respect to the chemical potential.