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Advances in High Energy Physics
Volume 2017, Article ID 6402101, 8 pages
Research Article

Van der Waals-Like Phase Transition from Holographic Entanglement Entropy in Lorentz Breaking Massive Gravity

1School of Science, Hubei University for Nationalities, Enshi 445000, China
2College of Science, Agricultural University of Hebei, Baoding 071000, China
3School of Material Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China

Correspondence should be addressed to Xiao-Xiong Zeng; moc.361@scisyhpgnezxx

Received 12 June 2017; Revised 15 August 2017; Accepted 24 August 2017; Published 2 October 2017

Academic Editor: Li Li

Copyright © 2017 Xian-Ming Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


Phase transition of AdS black holes in Lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first-order phase transition (FPT) and second-order phase transition (SPT) both in Bekenstein-Hawking entropy- (BHE-) temperature plane and in holographic entanglement entropy- (HEE-) temperature plane. Furthermore, for the FPT, the equal area law is checked and for the SPT, the critical exponent of the heat capacity is also computed. Our results confirm that the phase structure of HEE is similar to that of BHE in Lorentz breaking massive gravity, which implies that HEE and BHE have some potential underlying relationship.