Holographic Entanglement Entropy Close to Quantum Phase Transitions
High Energy Physics - Theory
2016-04-26 v3 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1502.03661,
title = {Holographic Entanglement Entropy Close to Quantum Phase Transitions},
author = {Yi Ling and Peng Liu and Chao Niu and Jian-Pin Wu and Zhuo-Yu Xian},
journal= {arXiv preprint arXiv:1502.03661},
year = {2016}
}
Comments
10 pages, 4 figures