Belgian Federal Science Policy Office through the Interuniversity Attraction Pole [P7/37]
; FWO-Vlaanderen [G020714N]
; Vrije Universiteit Brussel through the Strategic Research Program "High-Energy Physics"
; National Natural Science Foundation of China [11365008, 11205226, 11575270]
; Natural Science Foundation of Education Committee of Chongqing [KJ1500530]
; [12G3515N]
英文摘要:
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 calculating 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. All the results show that the phase structure of holographic entanglement entropy is the same as that of thermal entropy regardless of the volume of the spacetime on the boundary. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.
