Transport coefficients, effective charge and mass for multicomponent systems with fractional exclusion statistics

TL;DR

This paper investigates transport properties in multicomponent quantum systems with fractional exclusion statistics, deriving expressions for conductivity, conductance, effective charge, and mass, with applications to specific models.

Contribution

It provides explicit formulas for transport coefficients and effective parameters in systems obeying fractional exclusion statistics, expanding understanding of their collective excitations.

Findings

Explicit expressions for conductivity and conductance in fractional exclusion systems.

Determination of effective charge and mass for collective excitations.

Application to $1/r^2$ quantum systems and correlated electrons.

Abstract

Transport properties of the multicomponent quantum many-body systems obeying Haldane's fractional exclusion statistics are studied in one dimension. By computing the finite-size spectrum under twisted boundary conditions, we explicitly express the conductivity and the conductance in terms of statistical interactions. Through this analysis, the effective charge and effective mass for collective excitations are determined. We apply the results for $1/r^2$ quantum systems as well as for correlated electron systems.