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Absence of many-body localization in a single Landau level

Author(s): Geraedts, SD; Bhatt, Ravindra N

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Abstract: The localization properties of the highly excited states of a system projected into a single Landau level are analyzed. An analysis of level spacing ratios for finite size systems shows a clear crossover from extended (GUE) to localized (Poisson) statistics, indicating a many-body localization transition. However, the location of this transition depends very strongly on system size, and appears to scale to infinite disorder in the thermodynamic limit. This result does not depend on the properties of the ground state (such as whether the ground state exhibits topological order), as expected for a transition of highly excited eigenstates. We therefore conclude that many-body localization does not exist in these systems. Our results demonstrate that a subthermodynamic number of single particle effectively extended states is sufficient to cause all many-body states to become extended
Publication Date: 2-Feb-2017
Electronic Publication Date: 2-Feb-2017
Citation: Geraedts, SD, Bhatt, RN. (2017). Absence of many-body localization in a single Landau level. Physical Review B, 95 (10.1103/PhysRevB.95.054303
DOI: doi:10.1103/PhysRevB.95.054303
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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