Holographic entanglement entropy in superconductor phase transition with dark matter sector

TL;DR

This study explores how dark matter influences holographic phase transitions in AdS black holes, demonstrating that entanglement entropy effectively indicates critical points and phase stability, with the area law remaining valid.

Contribution

It introduces the use of holographic topological entanglement entropy to analyze dark matter effects on phase transitions beyond the probe limit.

Findings

Entanglement entropy signals critical temperature and phase transition order.

Area law for entanglement entropy holds even with dark matter sector.

Analytical and numerical diagrams show parameter effects on critical temperature.

Abstract

In this paper, we investigate the holographic phase transition with dark matter sector in the AdS black hole background away from the probe limit. We disclose the properties of phases mostly from the holographic topological entanglement entropy of the system. We find the entanglement entropy is a good probe to the critical temperature and the order of the phase transition in the general model. The behaviors of entanglement entropy at large strip size suggest that the area law still holds with dark matter sector. We also conclude that the holographic topological entanglement entropy is useful in detecting the stability of the phase transitions. Furthermore, we derive the complete diagram of the effects of coupled parameters on the critical temperature through the entanglement entropy and analytical methods.