A multispecies Calogero-Sutherland model
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.
Cite
@article{arxiv.cond-mat/9512014,
title = {A multispecies Calogero-Sutherland model},
author = {Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/9512014},
year = {2009}
}
Comments
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