Eur. Phys. J. C (2018) 78: 353
https://doi.org/10.1140/epjc/s10052-018-5836-7

Regular Article - Theoretical Physics

Holographic insulator/superconductor transition with exponential nonlinear electrodynamics probed by entanglement entropy

¹ Department of electrical engineering, Liupanshui Normal University, Liupanshui, 553004, Guizhou, People’s Republic of China
² Department of Physics Key Laboratory of Low Dimensional Quantum Structures, Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

^* e-mail: jljing@hunnu.edu.cn

Received: 21 March 2018
Accepted: 22 April 2018
Published online: 2 May 2018

Abstract

From the viewpoint of holography, we study the behaviors of the entanglement entropy in insulator/superconductor transition with exponential nonlinear electrodynamics (ENE). We find that the entanglement entropy is a good probe to the properties of the holographic phase transition. Both in the half space and the belt space, the non-monotonic behavior of the entanglement entropy in superconducting phase versus the chemical potential is general in this model. Furthermore, the behavior of the entanglement entropy for the strip geometry shows that the confinement/deconfinement phase transition appears in both insulator and superconductor phases. And the critical width of the confinement/deconfinement phase transition depends on the chemical potential and the exponential coupling term. More interestingly, the behaviors of the entanglement entropy in their corresponding insulator phases are independent of the exponential coupling factor but depends on the width of the subsystem .