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Exotic non-Abelian anyons from conventional fractional quantum Hall states

Authors :
Clarke, David J.
Alicea, Jason
Shtengel, Kirill
Source :
Nature Commun. 4, 1348 (2013)
Publication Year :
2012

Abstract

Non-Abelian anyons--particles whose exchange noncommutatively transforms a system's quantum state--are widely sought for the exotic fundamental physics they harbor as well as for quantum computing applications. There now exist numerous blueprints for stabilizing the simplest type of non-Abelian anyon, defects binding Majorana modes, by judiciously interfacing widely available materials. Following this line of attack, we introduce a device fabricated from conventional fractional quantum Hall states and s-wave superconductors that supports exotic non-Abelian anyons that bind `parafermions', which can be viewed as fractionalized Majorana fermions. We show that these modes can be experimentally identified (and distinguished from Majoranas) using Josephson measurements. We also provide a practical recipe for braiding parafermions and show that they give rise to non-Abelian statistics. Interestingly, braiding in our setup produces a richer set of topologically protected qubit operations when compared to the Majorana case. As a byproduct, we establish a new, experimentally realistic Majorana platform in weakly spin-orbit-coupled materials such as GaAs.<br />Comment: 12 pages, 4 figures

Details

Database :
arXiv
Journal :
Nature Commun. 4, 1348 (2013)
Publication Type :
Report
Accession number :
edsarx.1204.5479
Document Type :
Working Paper
Full Text :
https://doi.org/10.1038/ncomms2340