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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