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Paper
Heisenberg-to-Ising crossover in a random-field model with uniaxial anisotropy
Abstract
Uniaxial anisotropy causes a crossover between Ising and Heisenberg behavior in a random-field model. At random-field strengths and dimensionalities, intermediate between those which give either the Ising and Heisenberg domain states, a new boundary domain state appears. A novel criterion is also derived for domain-boundary roughening in the Heisenberg limit. The two-dimensional version of this model can be applied to ferromagnetic- antiferromagnetic sandwiches with interface randomness and leads to a prediction of an exchange anisotropy effect below a critical thickness of order the domain-wall width, and an enhancement of this effect below a second critical thickness. © 1988 The American Physical Society.