Holographic superconductor with dark matter probed by entanglement entropy in higher dimensional AdS spacetime

TL;DR

This paper explores how dark matter influences holographic superconductors in higher-dimensional AdS spacetime by analyzing entanglement entropy, revealing its role in phase transitions and critical phenomena in strongly coupled systems.

Contribution

It introduces the use of holographic entanglement entropy as a diagnostic for dark matter effects on phase transitions in higher-dimensional AdS black holes.

Findings

Dark matter coupling affects the critical temperature of phase transition.

HEE shows linear growth with dark matter coupling near criticality.

Chemical potential ratio causes nonlinear enhancement in HEE.

Abstract

We investigate the holographic entanglement entropy (HEE) with dark matter in a higher-dimensional AdS black hole spacetime including full back reaction, revealing its role as a diagnostic tool for critical phenomena in strongly coupled systems. By analyzing the HEE, we uncover distinct signatures of the metal/superconductor phase transition, demonstrating that the critical temperature is dynamically tuned by both the dark matter coupling strength and the chemical potential ratio between visible and dark matter sectors. Notably, near the criticality, the HEE exhibits a novel scaling behavior: it grows linearly with the dark matter coupling but displays a nonlinear, accelerated enhancement as the chemical potential ratio between the Maxwell and dark matter sectors increases.