A multispecies Calogero-Sutherland model

Details A multispecies Calogero-Sutherland model A multispecies Calogero-Sutherland model

1995-12-04

arxiv.org/abs/cond-mat/9512014v3

Nucl.Phys. B479 (1996) 554-574

Physics

Condensed Matter

27 pages, LaTeX, no figures; all sections have been significantly expanded from the previous version of 13 pages; a new sectio

Scientific paper

10.1016/0550-3213(96)00420-8

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.

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