Holographic entanglement entropy close to quantum phase transitions

Yi Ling, Peng Liu, Chao Niu, Jian-Pin Wu, Zhuo-Yu Xian
2016 Journal of High Energy Physics  
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
more » ... um critical points would be universal in general holographic models.
doi:10.1007/jhep04(2016)114 fatcat:mxtlvb2htzae3g2algllbbfby4