Quantum entanglement as a diagnostic of phase transitions in disordered fractional quantum hall liquids

Zhao Liu, R. N. Bhatt

Research output: Contribution to journalArticle

15 Scopus citations

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.

Original languageEnglish (US)
Article number206801
JournalPhysical review letters
Volume117
Issue number20
DOIs
StatePublished - Nov 8 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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