Abstract
The influence of small random fluctuations of the antiferromagnetic exchange, the easy-axis direction and the strength of the coherent z axis anisotropy on the magnetic ground-state properties of a classical three-dimensional antiferromagnet is discussed. A strong influence of easy-axis fluctuations on the M(H) curve for longitudinal magnetic fields is found. The critical spin-flop field is decreased both by exchange and by anisotropy fluctuations. For transverse magnetic fields the slope of the M(H) curve is influenced by exchange and easy-axis fluctuations in the opposing manner. A comparison of the results with experiments on MnxZn1-xF2 shows that the experimentally observed trends can be interpreted by the interplay of both antiferromagnetic-exchange and easy-axis fluctuations. Finally, the author investigated the stability of the magnetic long-range order. In agreement with Imry and Ma (1975) the easy-axis fluctuations cause an instability of the long-range order against formation of domains in the limit of small coherent anisotropy and small magnetic field.
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