Anyon Condensation and Persistent Currents

TL;DR

This paper investigates 1+1 dimensional anyon fields at finite temperature and density, revealing persistent currents and a novel momentum space condensation phenomenon, with applications demonstrated in the Thirring model.

Contribution

It introduces an operator formalism for bosonization at finite temperature, explicitly deriving correlation functions and uncovering new physical phenomena in anyon systems.

Findings

Existence of persistent currents in 1+1 anyon systems

Discovery of a new condensation phenomenon in momentum space

Application of formalism to the Thirring model

Abstract

In this letter we study 1+1 anyon fields at finite temperature and density with non-vanishing chemical potentials. Our approach is based on an operator formalism for bosonization at finite temperature; the correlation functions for the system are given in an explicit form. Two are the main results of this construction: we point out the existence of persistent currents in 1+1 anyon systems; from the analysis of 2-point anyon field correlation function, a remarkable and new condensation phenomenon in momentum space is discovered. As a concrete example, the above formalism is applied to the Thirring model.