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

Authors
Type
Published Article
Publication Date
Dec 20, 2008
Submission Date
Apr 29, 2008
Identifiers
DOI: 10.1103/PhysRevLett.101.196802
Source
arXiv
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.