Holographic entanglement entropy in two-order insulator/superconductor transitions

Yan Peng,Guohua Liu

doi:10.1016/j.physletb.2017.01.079

Abstract

We study holographic superconductor model with two orders in the five dimensional AdS soliton background away from the probe limit. We disclose properties of phase transitions mostly from the holographic topological entanglement entropy approach. Our results show that the entanglement entropy is useful in investigating transitions in this general model and in particular, there is a new type of first order phase transition in the insulator/superconductor system. We also give some qualitative understanding and obtain the analytical condition for this first order phase transition to occur. As a summary, we draw the complete phase diagram representing effects of the scalar charge on phase transitions.

Highlights

The AdS/conformal field theories (CFTs) correspondence provides us a novel approach to holographically study strongly interacting system in condensed matter physics where conventional calculational methods fail
We are interested in the general holographic superconductor model dual to the bulk theory with two scalar fields coupled to one single Maxwell field in the background of five dimensional AdS soliton
We explored properties of holographic insulator/superconductor transitions with two orders in the five dimensional AdS soliton background beyond the probe limit

Summary

INTRODUCTION

The AdS/CFT correspondence provides us a novel approach to holographically study strongly interacting system in condensed matter physics where conventional calculational methods fail. Superfluid, stripes and metamagnetic phases may compete at low temperature when including large magnetic field in AdS black hole background [50] On another side, due to the essential difference between the AdS black hole and AdS soliton, the holographic insulator/superconductor transition with two scalar fields was firstly studied in the four dimensional AdS soliton geometry in the probe limit [51]. The authors provided an elegant approach to holographically calculate the holographic entanglement entropy of a strongly interacting system on the boundary from a weakly coupled gravity dual in the bulk [54, 55] In this way, the holographic entanglement entropy has recently been applied to disclose properties of phase transitions in various holographic superconductor models [56]-[75].

EQUATIONS OF MOTION AND BOUNDARY CONDITIONS

PROPERTIES OF SCALAR CONDENSATION

4: We plot the holographic with γ

CONCLUSIONS