Simultaneous occurrence of magnetic and spatial long-range order in binary alloys

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Abstract
The authors study an ordering binary alloy with magnetic and spatial interactions. Solutions for a two sub-lattice model are obtained within a combination of Bragg-Williams and the molecular-field approximations. The presence of magnetic interactions can have far-reaching effects on the spatial ordering characteristics of the alloy. In particular, the spatial long-range order (LRO) parameter can be substantially renormalized and the location of the order-disorder transition temperature can be appreciably shifted. Similarly, the presence of spatial LRO, in general, causes the occurrence of more than one type of magnetization for each magnetic species. Moreover, it can also seriously renormalize the temperature dependence of the magnetizations as well as shift the location of the magnetic transition temperature.