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Monte Carlo Evaluation of Non-Abelian Statistics

Yaroslav Tserkovnyak·Steven H. Simon
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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 $ν=1/2$ 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.

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Yaroslav Tserkovnyak, Steven H. Simon. 2003-01-23. Monte Carlo Evaluation of Non-Abelian Statistics. https://doi.org/10.1103/physrevlett.90.016802

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