Abstract
The manner in which crystalline electric fields compete in cubic ferromagnets is discussed. In the first section it is shown how competition between fourth and sixth-degree terms in the crystalline field energy lead to re-entrant behavior of the magnetization process in an applied magnetic field. For one special value of the ratio of sixth-to fourth-degree coupling strengths a new type of critical point is found to occur in a field applied in a [111] direction. The influence of temperature fluctuations is briefly discussed. The second section is devoted to a discussion of the effects of competition in alloys between ions with opposite signs of crystalline coupling. Using rare-earth Laves phase pseudobinary alloys as an example, the fluctuations in the sign of the crystalline field are shown to lead to unusual magnetic phases in concentrated alloys. The effects of mixing different angular momentum states is shown to lead, in special cases, to high-order anisotropy (eight and greater) and possibly, unusual magnetic phases in pure binary compounds. The influence of applied fields on canted-spin phases is also discussed and field-concentration phase diaplayed in a model case. In the last section, the important influence of randomness of the crystalline field is noted.
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