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