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The entanglement exhibits extremal or singular behavior near quantum criticalpoints (QCPs) in many condensed matter models. These intriguing phenomena,however, still call for a widely accepted understanding. In this letter westudy this issue in holographic framework. We investigate the connectionbetween the holographic entanglement entropy (HEE) and the quantum phasetransition (QPT) in a lattice-deformed Einstein-Maxwell-Dilaton theory. Novelbackgrounds exhibiting metal-insulator transitions (MIT) have been constructedin which both metallic phase and insulating phase have vanishing entropydensity in zero temperature limit. We find that the first order derivative ofHEE with respect to lattice parameters exhibits extremal behavior near QCPs. Wepropose that it would be a universal feature that HEE or its derivatives withrespect to system parameters can characterize QPT in a generic holographicsystem. Our work opens a window for understanding the relation betweenentanglement and the QPT from holographic perspective.

Characterization of Quantum Phase Transition using Holographic Entanglement Entropy