Derives perturbative 4D nonminimal Maxwell-AdS black hole and reports Van der Waals-like behavior plus Hawking-Page transitions in its thermodynamics.
Phase transition of holographic entanglement entropy in massive gravity
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
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. 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.
fields
hep-th 2verdicts
UNVERDICTED 2representative citing papers
In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical exponent of 1/3 near second-order points.
citing papers explorer
-
Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
Derives perturbative 4D nonminimal Maxwell-AdS black hole and reports Van der Waals-like behavior plus Hawking-Page transitions in its thermodynamics.
-
Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity
In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical exponent of 1/3 near second-order points.