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arXiv · 1205.2520

Local exclusion principle for identical particles obeying intermediate and fractional statistics

Douglas Lundholm·Jan Philip Solovej
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Abstract

A local exclusion principle is observed for identical particles obeying intermediate/fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type, and implies a non-trivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.

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Douglas Lundholm, Jan Philip Solovej. 2014-02-25. Local exclusion principle for identical particles obeying intermediate and fractional statistics. https://doi.org/10.1103/physreva.88.062106

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