Botet and Jullien [Phys. Rev. B 27, 613 (1983)] and Botet, Jullien, and Kolb [Phys. Rev. B 28, 3914 (1983)] performed a finite-size scaling analysis of the spin-1 antiferromagnetic Heisenberg-Ising chain. Their work was criticized by Bonner and M\"uller [Phys. Rev. B 29, 5216 (1984)] on the grounds that a similar analysis for spin {} yields misleading results. In the present work, we show that the plane-rotator version of spin-1 chain has some features similar to that obtained by Botet et al., although, unfortunately, our model can be solved analytically only over a restricted set of the parameters, and thus does not unambiguously confirm their results. The need for further studies is emphasized.
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Daniel C. Mattis (1985) studied this question.
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