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

Abstract

We investigate the holographic entanglement entropy in the insulator/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction in five-dimensional AdS soliton spacetime. We note that the holographic entanglement entropy is a good probe to study the properties of the phase transition, and the Born-Infeld factor $b$ has no effect on the critical chemical potential ${\mu }_c$. We find that both in the half space and the belt one, the non-monotonic behavior of the entanglement entropy versus the chemical potential is a general property, and the entanglement entropy increases with the increase of the Born-Infeld factor in the superconductor phase. Particularly, there exists confinement/deconfinement phase transition in the strip geometry and the critical width ${\ell }_c$ is dependent of the Born-Infeld parameter.

17 pages, 6 figures, accepted for publication in JHEP. arXiv admin note: text overlap with arXiv:1203.6620 by other authors

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