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We investigate a one-dimensional S=1 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. The instability to a dimerized chain depends on the value of the spin-phonon coupling, unlike the case of S=1/2. We find the first-order transition between the uniform Haldane state and the dimerized state. Two non-magnetic states coexist in the chain and a domain-wall...
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