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Monte Carlo evaluation of non-Abelian statistics.

Abstract:
We develop a general framework to (numerically) study adiabatic braiding of quasiholes in fractional quantum Hall systems. Specifically, we investigate the Moore-Read (MR) state at nu=1/2 filling factor, a known candidate for non-Abelian statistics, which appears to actually occur in nature. The non-Abelian statistics of MR quasiholes is demonstrated explicitly for the first time, confirming the results predicted by conformal field theories.
Publication status:
Published

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Authors


Tserkovnyak, Y More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Journal:
Physical review letters
Volume:
90
Issue:
1
Pages:
016802
Publication date:
2003-01-05
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:1c448882-e75c-42d9-9322-ed0ad9294cb8
Source identifiers:
168179
Local pid:
pubs:168179
Language:
English

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