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A quasi-one-dimensional S=1 Heisenberg antiferromagnet with a single-ion anisotropy Dtsum₉ (S₉^z) ^2 is investigated. By treatment of interchain interactions with coupling constant J as a mean field, this system has been revealed to have a disordered ground state due to an effect of the Haldane gap, if J is small enough. By use of this approximation and application of the finite-size-scaling technique to a chain, the ground-state phase diagram in the JD plane is presented. This analysis leads to the prediction that Ni (C₂H₈N₂) ₂NO₂ (ClO₄) has no N\'eel order even at T=0. In addition it is found that the phase transition with respect to D (0) for a chain belongs to the two-dimensional Ising-model universality class, which agrees with Haldane's conjecture.
Sakai et al. (Sat,) studied this question.