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.

*Research is funded in part by Gordon & Betty Moore Foundation's EPiQS Initiative, Grant GBMF9615 to L.N.Pfeiffer, & NSF MRSEC grant DMR 1420541.

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