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|Abstract:||We investigate the disorder-driven phase transition from a fractional quantum Hall state to an Anderson insulator using quantum entanglement methods. We find that the transition is signaled by a sharp increase in the sensitivity of a suitably averaged entanglement entropy with respect to disorder - the magnitude of its disorder derivative appears to diverge in the thermodynamic limit. We also study the level statistics of the entanglement spectrum as a function of disorder. However, unlike the dramatic phase-transition signal in the entanglement entropy derivative, we find a gradual reduction of level repulsion only deep in the Anderson insulating phase.|
|Electronic Publication Date:||8-Nov-2016|
|Citation:||Liu, Z, Bhatt, RN. (2016). Quantum entanglement as a diagnostic of phase transitions in disordered fractional quantum hall liquids. Physical Review Letters, 117 (10.1103/PhysRevLett.117.206801|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||Physical Review Letters|
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