The transverse spin-1 Ising model with random interactions |
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Authors: | Touria Bouziane Mohammed Saber |
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Institution: | a Department of Physics, Faculty of Sciences, University of Moulay Ismail, B.P. 11201 Meknes, Morocco b Dpto. Física Aplicada I, EUPDS (EUPDS), Plaza Europa, 1, San Sebastian 20018, Spain |
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Abstract: | The phase diagrams of the transverse spin-1 Ising model with random interactions are investigated using a new technique in the effective field theory that employs a probability distribution within the framework of the single-site cluster theory based on the use of exact Ising spin identities. A model is adopted in which the nearest-neighbor exchange couplings are independent random variables distributed according to the law P(Jij)=pδ(Jij−J)+(1−p)δ(Jij−αJ). General formulae, applicable to lattices with coordination number N, are given. Numerical results are presented for a simple cubic lattice. The possible reentrant phenomenon displayed by the system due to the competitive effects between exchange interactions occurs for the appropriate range of the parameter α. |
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Keywords: | Ising model Phase diagram Spin-1 |
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