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

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.