Two-Parameter Modifications of Anyonic Statistics
Keywords:fractional statistics, anyons, к-deformation, Polychronakos statistics, Haldane–Wu statistics, Gentile statistics
Two-parameter models of fractional statistics aimed at finding an expression for the occupation numbers of free anyons have been considered. Virial coefficients are found for statistics of several types: к-deformed Polychronakos and Haldane–Wu statistics, Polychronakos and Haldane–Wu statistics modified with the q-exponential in the bosonic limit, and incomplete and nonadditive Gentile statistics for various level-filling maxima. A relation between the anyonic statistics and various statistics of fractional types is found and analyzed.
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