Haldane exclusion statistics and second virial coefficient

Abstract

We show that Haldane's new definition of statistics, when generalized to infinite dimensional Hilbert spaces, is determined by the high temperature limit of the second virial coefficient. We thus show that this exclusion statistics parameter g of anyone is nontrivial and is completely determined by its exchange statistics parameter \ensuremath{\alpha}. We also compute g for quasiparticles in the Luttinger model and show that it is equal to \ensuremath{\alpha}.