Holographic Van der Waals-like phase transition in the Gauss–Bonnet gravity
Song He (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Golm, Germany, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China); Li-Fang Li (Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing, China); Xiao-Xiong Zeng (State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China, School of Material Science and Engineering, Chongqing Jiaotong University, Chongqing, China)
The Van der Waals-like phase transition is observed in temperature–thermal entropy plane in spherically symmetric charged Gauss–Bonnet–AdS black hole background. In terms of AdS/CFT, the non-local observables such as holographic entanglement entropy, Wilson loop, and two point correlation function of very heavy operators in the field theory dual to spherically symmetric charged Gauss–Bonnet–AdS black hole have been investigated. All of them exhibit the Van der Waals-like phase transition for a fixed charge parameter or Gauss–Bonnet parameter in such gravity background. Further, with choosing various values of charge or Gauss–Bonnet parameter, the equal area law and the critical exponent of the heat capacity are found to be consistent with phase structures in temperature–thermal entropy plane.
