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Interferometry measurements on candidate non-Abelian states and their nearby Abelian states

ORAL

Abstract

An extensive series of interferometry measurements using illuminated, high density, ultra-high mobility heterostructures have shown results consistent with proposed non-Abelian properties at filling factors 5/2 and 7/2. These results expose features that correspond to non-Abelian e/4 and Abelian e/2 charges, specifically in B-field sweeps even-odd effect for e/4 braiding e/4 and expected accumulation of both Aharonov-Bohm and statistical phases for braiding of e/2 charges. Here we will summarize measurement results at both Abelian and proposed non-Abelian states using 3 methods to alter the interferometers enclosed quasiparticle (qp) number: 1) B-field sweeps which systematically change both enclosed qp and flux number, 2) side-gate sweeps which differently change both enclosed qp and flux number, 3) small interior central interferometer gate sweeps which alter the enclosed qp number alone. We show here results at Abelian states 7/3 and 16/5, expressing their Aharonov-Bohm and statistical phase contributions to interference. 7/2 and 5/2 results in the three measurements are presented with their correspondence to the non-Abelian even-odd model. Overview of interference from filling factors 2 to 3 and 3 to 4 will be shown.

Presenters

  • Robert L Willett

    Nokia Bell Labs

Authors

  • Robert L Willett

    Nokia Bell Labs

  • Kirill Shtengel

    University of California, Riverside

  • Loren N Pfeiffer

    Princeton University, Princeton University, Princeton, New Jersey 08544, USA

  • Edwin Y Chung

    Princeton University

  • Kirk Baldwin

    Princeton University, Princeton university, Princeton University, Princeton, New Jersey 08544, USA

  • Milton Peabody

    Nokia Bell Labs