Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids

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.

8 pages, 8 figures, including the supplemental material, published in PRL as an Editors' Suggestion

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Cited by in corpus (9)

• Two-component quantum Hall effects in topological flat bands
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Global entanglement in a topological quantum phase transition
• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Absence of Many-Body Localization in a Single Landau Level
• Topology and many-body localization
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures