Measurements of quasiparticle tunneling in the υ=52 fractional quantum Hall state

X. Lin, C. Dillard, M. A. Kastner, L. N. Pfeiffer, K. W. West

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Abstract

Some models of the 5/2 fractional quantum Hall state predict that the quasiparticles, which carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the wave function more dramatically than just the usual change of phase factor. Such non-Abelian statistics would make the system less sensitive to decoherence, making it a candidate for implementation of topological quantum computation. We measure quasiparticle tunneling as a function of temperature and dc bias between counterpropagating edge states. Fits to theory give e *, the quasiparticle effective charge, close to the expected value of e/4 and g, the strength of the interaction between quasiparticles, close to 3/8. Fits corresponding to the various proposed wave functions, along with qualitative features of the data, strongly favor the Abelian 331 state.

Original languageEnglish (US)
Article number165321
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number16
DOIs
StatePublished - Apr 25 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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