Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity

TL;DR

This paper investigates Van der Waals-like phase transitions in charged Gauss-Bonnet-AdS black holes using holographic entanglement entropy, Wilson loops, and correlation functions, revealing consistent phase structures and critical behavior.

Contribution

It demonstrates the occurrence of Van der Waals-like phase transitions in holographic non-local observables within Gauss-Bonnet-AdS black holes, extending understanding of phase behavior in higher curvature gravity.

Findings

Holographic entanglement entropy exhibits Van der Waals-like phase transition.

Wilson loop and two-point correlation functions also show similar phase behavior.

The equal area law and critical exponents are consistent across different observables.

Abstract

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.