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Abstract
We examine the behavior of entanglement entropy S A EE of a subsystem A in a fully backreacted holographic model of a 1 + 1 dimensional p wave superconductor across the phase transition. For a given temperature, the system goes to a superconducting phase beyond a critical value of the charge density. The entanglement entropy, considered as a function of the charge density at a given temperature, has a cusp at the critical point. In addition, we find that there are three different behaviors in the condensed phase, depending on the subsystem size. For a subsystem size l smaller than a critical size l c1, S A EE continues to increase as a function of the charge density as we cross the phase transition. When l lies between l c1 and another critical size l c2 the entanglement entropy displays a non-monotonic behavior, while for l > l c2 it decreases monotonically. At large charge densities S A EE appears to saturate. The non-monotonic behavior leads to a novel phase diagram for this system.
Document Type
Article
Publication Date
9-5-2017
Digital Object Identifier (DOI)
https://doi.org/10.1007/JHEP09(2017)016
Funding Information
Article funded by SCOAP3 . This work is partially supported by the grants NSF-PHY-1521045.
Repository Citation
Das, Sumit R.; Fujita, Mitsutoshi; and Kim, Bom Soo, "Holographic Entanglement Entropy of a 1 + 1 Dimensional p-Wave Superconductor" (2017). Physics and Astronomy Faculty Publications. 502.
https://uknowledge.uky.edu/physastron_facpub/502
Notes/Citation Information
Published in Journal of High Energy Physics, v. 2017, issue 9, article no. 16, p. 1-18.
© The Author(s) 2017
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.