SU(ν) Generalization of Twisted Haldane-Shastry Model
arXiv:cond-mat/9610127 · doi:10.1016/S0550-3213(96)00573-1
Abstract
The SU($ν$) generalized Haldane-Shastry spin chain with $1/r^2$ interaction is studied with twisted boundary conditions. The exact wavefunctions of Jastrow type are obtained for every rational value of the twist angle in unit of $2Ï$. The spectral flow of the ground state is then discussed as a function of the twist angle. By resorting to the motif picture in the Bethe ansatz method, we show that the period of the spectral flow is $ν$, which is determined by the statistical interaction in exclusion statistics.
23 pages, revtex, To appear in Nucl. Phys. B