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

Frank Wilczek·Chetan Nayak
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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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Frank Wilczek, Chetan Nayak. 1994-06-21. Exclusion Statistics: Low-Temperature Properties, Fluctuations, Duality, Applications. https://arxiv.org/abs/cond-mat/9405017

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