Anderson Localization in the Fractional Quantum Hall Effect

Pu, Songyang; Sreejith, G.  J.; Jain, J.  K.

doi:10.1103/physrevlett.128.116801

Anderson Localization in the Fractional Quantum Hall Effect

Journal Article · Mon Mar 14 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.128.116801· OSTI ID:1980269

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Pennsylvania State Univ., University Park, PA (United States); University of Leeds (United Kingdom); OSTI
Indian Institute of Science Education and Research, Pune (India)
Pennsylvania State Univ., University Park, PA (United States)

The interplay between interaction and disorder-induced localization is of fundamental interest. This article addresses localization physics in the fractional quantum Hall state, where both interaction and disorder have nonperturbative consequences. We provide compelling theoretical evidence that the localization of a single quasiparticle of the fractional quantum Hall state at filling factor ν=n/(2n+1) has a striking quantitative correspondence to the localization of a single electron in the (n+1)th Landau level. By analogy to the dramatic experimental manifestations of Anderson localization in integer quantum Hall effect, this leads to predictions in the fractional quantum Hall regime regarding the existence of extended states at a critical energy, and the nature of the divergence of the localization length as this energy is approached. Within a mean field approximation, these results can be extended to situations where a finite density of quasiparticles is present.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: Leverhulme Trust; Science and Engineering Research Board; USDOE Office of Science (SC)

Grant/Contract Number:: SC0005042

OSTI ID:: 1980269

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 128; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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