16,559 research outputs found
Monte Carlo Evaluation of Non-Abelian Statistics
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.Comment: 4 pages, 4 figure
A Kondo impurity in a disordered metal: Anderson's theorem revisited
We consider a local moment which is coupled by a non-random Kondo to a
band of conduction electrons in a random potential. We prove an analog of
Anderson's theorem in a large-N limit of this model. The theorem states that
when the disorder is weak, the disorder-averaged low-temperature thermodynamics
is independent of the strength of the disorder; remarkably, it further states
that fluctuation effects in the long-time limit are {\it independent even of
the realization of the disorder}. We discuss the relationship of this theorem
to theoretical and experimental studies of similar problems.Comment: 4 pages, RevTe
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