A multispecies Calogero-Sutherland model
arXiv:cond-mat/9512014 · doi:10.1016/0550-3213(96)00420-8
Abstract
Motivated by the concept of ideal mutual statistics, we study a multispecies Calogero-Sutherland model in which the interaction parameters and masses satisfy some specific relations. The ground state is exactly solvable if those relations hold, both on a circle and on a line with a simple harmonic potential. In the latter case, the one-particle densities can be obtained using a generalization of the Thomas-Fermi method. We calculate the second virial coefficients in the high temperature expansion for the pressure. We show that the low-energy excitations are the same as those of a Gaussian conformal field theory. Finally, we discuss similar relations between the statistics parameters and charges for a multispecies anyon model in a magnetic field.
27 pages, LaTeX, no figures; all sections have been significantly expanded from the previous version of 13 pages; a new section on low-energy excitations; to appear in Nucl. Phys. B
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