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Competing ν = 5/2 fractional quantum Hall states in confined geometry

Proceedings of the National Academy of Sciences of the United States of America, 01 November 2016, Vol.113(44), pp.12386-12390 [Peer Reviewed Journal]

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  • Title:
    Competing ν = 5/2 fractional quantum Hall states in confined geometry
  • Author: Fu, Hailong ; Wang, Pengjie ; Shan, Pujia ; Xiong, Lin ; Pfeiffer, Loren N ; West, Ken ; Kastner, Marc A ; Lin, Xi
  • Found In: Proceedings of the National Academy of Sciences of the United States of America, 01 November 2016, Vol.113(44), pp.12386-12390 [Peer Reviewed Journal]
  • Subjects: 5/2 Fractional Quantum Hall State ; Edge-Current Tunneling ; Fractional Quantum Hall Effect ; Non-Abelian Statistics ; Quantum Point Contact
  • Language: English
  • Description: Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation. Although the non-Abelian Pfaffian state and its particle-hole conjugate, the anti-Pfaffian state, are the most plausible wave functions for the 5/2 state, there are a number of alternatives with either Abelian or non-Abelian statistics. Recent experiments suggest that the tunneling exponents are more consistent with an Abelian state rather than a non-Abelian state. Here, we present edge-current-tunneling experiments in geometrically confined quantum point contacts, which indicate that Abelian and non-Abelian states compete at filling factor 5/2. Our results are consistent with a transition from an Abelian state to a non-Abelian state in a single quantum point contact when the confinement is tuned. Our observation suggests that there is an intrinsic non-Abelian 5/2 ground state but that the appropriate...
  • Identifier: E-ISSN: 1091-6490 ; PMID: 27791162 Version:1

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