Exclusion Statistics: Low-Temperature Properties, Fluctuations, Duality, Applications
Frank Wilczek, Chetan Nayak
Abstract
We derive some physical properties of ideal assemblies of identical particles obeying generalized exclusion statistics. We discuss fluctuations, and in this connection point out a fundamental contrast to conventional quantum statistics. We demonstrate a duality relating the distribution of particles at statistics g to the distribution of holes at statistics 1/g. We suggest applications to Mott insulators.
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