Renormalized Field Theory of Weakly Anisotropic Antiferromagnets under Gaussian Random Fields

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Abstract
Antiferromagnets with weak spin anisotropy under Gaussian random fields are shown to exhibit just the same bicritical and tetracritical behaviors as those without random fields. Second order transitions occur only for unphysical space dimensionality 4≪d≪6 and multicritical points are also subject to d→d-2 rule. It is predicted that weakly anisotropic antiferromagnets such as La-doped GdAlO3 will have 2nd-order bicritical line surrounding 1st-order spin flop plane.

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