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A simulated annealing scheme is used to study low-energy states of random-anisotropy-axis models with two- and three-component spins, on simple cubic lattices. In both cases, the magnetization goes to zero as the lattice size increases. For two-component spins, the results are consistent with the Aharony-Pytte prediction of an infinite magnetic susceptibility at low temperatures. For three-component spins, the correlation length is rather large, but probably finite.
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Ronald Fisch (1989) studied this question.
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