A Generalization of Haldane state-counting procedure and $\pi$-deformations of statistics

Abstract

We consider the generalization of Haldane's state-counting procedure to describe all possible types of exclusion statistics which are linear in the deformation parameter $g$. The statistics are parametrized by elements of the symmetric group of the particles in question. For several specific cases we determine the form of the distribution functions which generalizes results obtained by Wu. Using them we analyze the low-temperature behavior and thermodynamic properties of these systems and compare our results with previous studies of the thermodynamics of a gas of $g$-ons. Various possible physical applications of these constructions are discussed.

17 pages, latex, 6 figures small corrections were made, reference and acknowledgments are added

References in corpus (4)

• Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Haldane exclusion statistics and second virial coefficient
• Statistical properties and statistical interaction for particles with spin: Hubbard model in one dimension and statistical spin liquid

Cited by in corpus (6)

• Thermodynamics for Fractional Exclusion Statistics
• Kinetic Approach to Fractional Exclusion Statistics
• Thermodynamic Bethe Ansatz with Haldane Statistics
• Quantum liquids of particles with generalized statistics
• Thermodynamic Bethe ansatz for generalized extensive statistics
• Turning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator