Generalized partition functions, interpolating statistics and higher virial coefficients

TL;DR

This paper introduces a novel approach to calculating higher virial coefficients by interpolating between bosonic and fermionic boundary conditions, linking determinants at finite temperature to anyonic statistics.

Contribution

It develops a method to derive higher virial coefficients from determinants with intermediate boundary conditions, bridging bosonic, fermionic, and anyonic statistics.

Findings

Mapped intermediate boundary condition results to anyon statistics

Calculated higher virial coefficients using the new approach

Compared results with existing literature for validation

Abstract

Starting from determinants at finite temperature obeying an intermediate boundary condition between the periodic (bosonic) and antiperiodic (fermionic) cases, we find results which can be mapped onto the ones obtained from anyons for the second virial coefficient. Using this approach, we calculate the corresponding higher virial coefficients and compare them with the results known in the literature.