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Phase transition of holographic entanglement entropy in massive gravity · Around

2015

Phase transition of holographic entanglement entropy in massive gravity

Zeng, Xiao-Xiong, Zhang, Hongbao, Li, Li-Fang

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The phase structure of holographic entanglement entropy is studied in massive gravity for the quantum systems with finite and infinite volumes, which in the bulk is dual to calculate the minimal surface area for a black hole and black brane respectively.

In the entanglement entropy$-$temperature plane, we find for both the black hole and black brane there is a Van der Waals-like phase transition as the case in thermal entropy$-$temperature plane.
That is, there is a first order phase transition for the small charge and a second order phase transition at the critical charge.
For the first order phase transition, the equal area law is checked and for the second order phase transition, the critical exponent of the heat capacity is obtained.

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E. Caceres, P. H. Nguyen, J. F. Pedraza, Holographic entanglement entropy and the extended phase structure of STU black holes , [arXiv:1507.06069 [hep-th]]
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Then

V. E. Hubeny, H. Maxfield, M. Rangamani, E. Tonni, Holographic entanglement plateaux , JHEP 08, 092 (2013), [arXiv:1306.4004 [hep-th]]
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2013
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C. V. Johnson , Large N Phase Transitions, Finite Volume, and Entanglement Entropy , JHEP 1403, 047 (2014), [arXiv:1306.4955 [hep-th]]
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2014
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R. G. Cai, Y. P. Hu, Q. Y. Pan, Y. L. Zhang, Thermodynamics of Black Holes in Massive Gravity , Phys. Rev. D 91, 024032 (2015), [arXiv:1409.2369 [hep-th]]
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J. Xu, L. M. Cao, Y. P. Hu, P-V criticality in the extended phase space of black holes in massive gravity , Phys. Rev. D 91, 124033 (2015), [arXiv:1506.03578 [gr-qc]]
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P. H. Nguyen, An equal area law for the van der Waals transition of holographic entanglement entropy , [arXiv:1508.01955 [hep-th]]

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