Phys. Rev. Lett. 101, 196802 (2008) [4 pages]Pfaffian Statistics through Adiabatic Transport in the 1D Coherent State RepresentationReceived 7 May 2008; published 4 November 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.196802
DOI:
10.1103/PhysRevLett.101.196802
PACS:
73.43.Cd, 71.10.Pm
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