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SU(ν) Generalization of Twisted Haldane-Shastry Model

T. Fukui·N. Kawakami
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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.

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T. Fukui, N. Kawakami. 1996-10-16. SU(ν) Generalization of Twisted Haldane-Shastry Model. https://doi.org/10.1016/s0550-3213(96)00573-1

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