SU(v) generalization of the twisted Haldane-Shastry model

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 2π. 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.