Local exclusion principle for identical particles obeying intermediate and fractional statistics
arXiv:1205.2520 · doi:10.1103/PhysRevA.88.062106
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.
Revised and accepted version. 9 pages, 4 figures
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Cited by in corpus (23)
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