SU(ν) Generalization of Twisted Haldane-Shastry Model

Details SU(ν) Generalization of Twisted Haldane-Shastry Model SU(ν) Generalization of Twisted Haldane-Shastry Model

1996-10-16

arxiv.org/abs/cond-mat/9610127v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, revtex, To appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(96)00573-1

The SU($\nu$) 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 $2\pi$. 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 $\nu$, which is determined by the statistical interaction in exclusion statistics.

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