Phase Transition in n-Layer Ising Lattices with Impurities

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  • Miyazima Sasuke
    Department of Applied Physics, Faculty of Engineering, Osaka University

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The phase transition temperature are calculated for two kinds of models for n-layer Ising lattices. One is diluted by non-magnetic impurities and the other consists of two kinds of magnetic substances. When the number of layers n increases, the transition temperature calculated by the high temperature series expansion increases monotonically. In the first model the critical concentration pc decreases with n. Although a single layer lattice with p<pc shows no spontaneous magnetization, there is possibility of giving rise the spontaneous magnetization when we compile several films. In the second model we can find various types of variation for critical temperature depending on the exchange coupling, especially between two different substances. Both in dilute ferromagnets and in ferromagnetic solid solutions, a simple relation may exist between the shift of transition temperatures and the number of layers. The shift of critical concentration also follows the similar simple relation.

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