Monte Carlo Evaluation of Non-Abelian Statistics
Mesoscale and Nanoscale Physics
2009-11-07 v2
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 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.
Keywords
Cite
@article{arxiv.cond-mat/0209650,
title = {Monte Carlo Evaluation of Non-Abelian Statistics},
author = {Yaroslav Tserkovnyak and Steven H. Simon},
journal= {arXiv preprint arXiv:cond-mat/0209650},
year = {2009}
}
Comments
4 pages, 4 figures