Holographic entanglement entropy in two-order insulator/superconductor transitions

TL;DR

This paper explores how holographic entanglement entropy can effectively identify and characterize various phase transitions, including a novel first-order transition, in a two-scalar-field insulator/superconductor model within the AdS soliton background.

Contribution

It introduces a two-scalar-field holographic model revealing new phase transition types and demonstrates entanglement entropy as a reliable probe for phase transition analysis.

Findings

Identification of a new first-order phase transition between different order parameters.

Entanglement entropy accurately signals critical points and transition orders.

Complete phase diagram illustrating scalar charge effects on phase transitions.

Abstract

We study holographic superconductor model with two scalar fields coupled to one single Maxwell field in the AdS soliton background away from the probe limit. We disclose properties of phase transitions mostly from the holographic topological entanglement entropy approach. With different sets of parameters, we observe various types of transitions, especially a new first order phase transition between the condensation of different order parameters in the insulator/superconductor system. Our results show that the entanglement entropy is a good probe to critical phase transition points and the order of phase transitions in the two-order model. We also conclude that the entanglement entropy is useful to some extent in determining the physically supported phases. In addition, we investigate properties of the condensation through the scalar operator and the charge density in the dual theory. As a summary, we draw the complete phase diagram of the effects of the scalar charge on phase transitions. At last, we give some qualitative understanding and obtain the analytical condition for the first order phase transition to occur.