Holographic Entanglement Entropy Close to Quantum Phase Transitions

TL;DR

This paper demonstrates that holographic entanglement entropy peaks near quantum critical points in models with metal-insulator transitions, suggesting HEE as a universal indicator of quantum phase transitions.

Contribution

It provides the first direct evidence that HEE characterizes quantum phase transitions in holographic models, proposing a universal maximization behavior at critical points.

Findings

HEE peaks near quantum critical points

HEE can characterize quantum phase transitions

Proposes universality of HEE behavior at criticality

Abstract

We investigate the holographic entanglement entropy (HEE) of a strip geometry in four dimensional Q-lattice backgrounds, which exhibit metal-insulator transitions in the dual field theory. Remarkably, we find that the HEE always displays a peak in the vicinity of the quantum critical points. Our model provides the first direct evidence that the HEE can be used to characterize the quantum phase transition (QPT). We also conjecture that the maximization behavior of HEE at quantum critical points would be universal in general holographic models.