The fourth virial coefficient of anyons

Abstract

We have computed by a Monte Carlo method the fourth virial coefficient of free anyons, as a function of the statistics angle theta. It can be fitted by a four term Fourier series, in which two coefficients are fixed by the known perturbative results at the boson and fermion points. We compute partition functions by means of path integrals, which we represent diagrammatically in such a way that the connected diagrams give the cluster coefficients. This provides a general proof that all cluster and virial coefficients are finite. We give explicit polynomial approximations for all path integral contributions to all cluster coefficients, implying that only the second virial coefficient is statistics dependent, as is the case for two-dimensional exclusion statistics. The assumption leading to these approximations is that the tree diagrams dominate and factorize.

30 pages, 12 figures, LaTeX2e

References in corpus (5)

• Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
• Haldane exclusion statistics and second virial coefficient
• Thermodynamics for Fractional Exclusion Statistics
• The third virial coefficient of anyons revisited
• Anyonic Partition Functions and Windings of Planar Brownian Motion

Cited by in corpus (4)

• Two-parametric fractional statistics models for anyons
• Modeling free anyons at the bosonic and fermionic ends
• Generalized partition functions, interpolating statistics and higher virial coefficients
• Virial Coefficients of Multispecies Anyons