title: Pfaffian statistics through adiabatic transport in the 1D coherent state representation.
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 nu=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.
authors.affiliation: Department of Physics, Washington University, St. Louis, Missouri 63136, USA.
authors.forename: Alexander
authors.initials: A
authors.lastname: Seidel