arXiv:cond-mat/0209650 · Physical Review Letters

Monte Carlo Evaluation of Non-Abelian Statistics

Yaroslav Tserkovnyak, Steven H. Simon

Published Jan 10, 2003• 79 citations

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.

DOI: 10.1103/physrevlett.90.016802

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