The Second Virial Coefficient of Spin-1/2 Anyon Systems

TL;DR

This paper calculates the second virial coefficient of spin-1/2 anyon systems using self-adjoint extension methods, revealing new cusp and discontinuity structures that differ from previous results, especially at infinite extension parameter.

Contribution

It introduces a novel application of self-adjoint extension techniques to compute virial coefficients, highlighting differences from prior models in irregular state conditions.

Findings

Different cusp and discontinuity structures found at infinite extension parameter

New insights into irregular state conditions in anyon systems

Enhanced understanding of thermodynamic properties of spin-1/2 anyons

Abstract

We calculate the second virial coefficient of spin-1/2 anyon gas in the various values of the self-adjoint extension parameter by incorporating the self-adjoint extension method into the Green's function formalism. Especially, the completely different cusp- and discontinuity-structures from the result of previous literature are obtained when the self-adjoint extension parameter goes to infinity. This is originated from the different condition for the occurrence of irregular states.