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Holographic entanglement entropy in metal/superconductor phase transition with Born-Infeld electrodynamics

2014/08/11 by Weiping Yao, Jiliang Jing
Physics and Astronomy · #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2014.10.007

published as Nuclear Physics B 889 (2014) 109 · 12 pages, 5 figures. arXiv admin note: text overlap with arXiv:1404.1659 by other authors

arxiv created 2014/08/11 · arxiv updated 2015/06/22

Abstract

We investigate the holographic entanglement entropy in the metal/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction and note that the entropy is a good probe to study the properties of the phase transition. For the operator <O->, we find that the entanglement entropy decreases (or increases) with the increase of the Born-Infeld parameter b in the metal (or superconducting) phase. For the operator <O+>, we observe that, with the increase of the Born-Infeld parameter, the entanglement entropy in the metal phase decreases monotonously but the entropy in the superconducting phase first increases and forms a peak at some threshold bT, then decreases continuously. Moreover, the value of bT becomes smaller as the width of the subsystem A decreases.

Citations