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

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 $<{\mathcal{O}}_{-}>$, 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 $<{\mathcal{O}}_{+}>$, 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 $b_T$, then decreases continuously. Moreover, the value of $b_T$ becomes smaller as the width of the subsystem $A$ decreases.

12 pages, 5 figures. arXiv admin note: text overlap with arXiv:1404.1659 by other authors

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• A general holographic metal/superconductor phase transition model
• Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor