A multispecies CalogeroSutherland model
Abstract
Motivated by the concept of ideal mutual statistics, we study a multispecies CalogeroSutherland 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 oneparticle densities can be obtained using a generalization of the ThomasFermi method. We calculate the second virial coefficients in the hightemperature expansion for the pressure. We show that the lowenergy 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.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)004208
 arXiv:
 arXiv:condmat/9512014
 Bibcode:
 1996NuPhB.479..554S
 Keywords:

 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 27 pages, LaTeX, no figures