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

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

2008-04-29

arxiv.org/abs/0804.4691v3

Phys. Rev. Lett. 101, 196802 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published version. Some references updated

Scientific paper

10.1103/PhysRevLett.101.196802

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.

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