Exclusion Statistics: Low-Temperature Properties, Fluctuations, Duality, Applications
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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