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Exact solution and spectral flow for twisted Haldane-Shastry model

T. Fukui·N. Kawakami
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Abstract

The exact solution of the spin chain model with $1/r^2$ exchange is found for twisted boundary conditions. The spectrum thus obtained can be reproduced by the asymptotic Bethe ansatz. The spectral flow of each eigenstate is determined exactly as a function of the twist angle. We find that the period $4π$ for the ground state nicely fits in with the notion of fractional exclusion statistics.

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T. Fukui, N. Kawakami. 1996-04-23. Exact solution and spectral flow for twisted Haldane-Shastry model. https://doi.org/10.1103/physrevlett.76.4242

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