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arXiv · 0804.4691

Pfaffian statistics through adiabatic transport in the 1D coherent state representation

Alexander Seidel
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Abstract

Recent work has shown that the low energy sector of certain quantum Hall states is adiabatically connected to simple charge-density-wave patterns that appear, e.g., when the system is deformed into a thin torus. Here it is shown that the patterns emerging in this limit already determine the non-abelian statistics of the $ν=1$ Moore-Read state. Aside from the knowledge of these patterns, the method only relies on the principle of adiabatic continuity, the effectively noncommutative geometry in a strong magnetic field, and topological as well as locality arguments.

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Alexander Seidel. 2008-12-20. Pfaffian statistics through adiabatic transport in the 1D coherent state representation. https://doi.org/10.1103/physrevlett.101.196802

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