Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state
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Lin-2012-Measurements of quasiparticle tunneling.pdf
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Author(s) • • • •
Lin, X.
Dillard, Colin R.
Kastner, Marc
Pfeiffer, L. N.
West, K. W.
Date Issued
April 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Lin, X. et al. “Measurements of Quasiparticle Tunneling in the Υ=5/2 Fractional Quantum Hall State.” Physical Review B 85.16 (2012). ©2012 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. School of Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.85.165321