Phase diagram of the two-dimensional Ising model with random competing interactions |
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Authors: | Octavio R Salmon Fernando D Nobre |
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Institution: | a Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ, Brazil b Departamento de Física, Universidade Federal do Amazonas, 3000 Japiim, 69077-000 Manaus - AM, Brazil c National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ, Brazil |
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Abstract: | An Ising model with ferromagnetic nearest-neighbor interactions J1 (J1>0) and random next-nearest-neighbor interactions +J2 with probability p and −J2 with probability (1−p); J2>0] is studied within the framework of an effective-field theory based on the differential-operator technique. The order parameters are calculated, considering finite clusters with n=1,2, and 4 spins, using the standard approximation of neglecting correlations. A phase diagram is obtained in the plane temperature versus p, for the particular case J1=J2, showing both superantiferromagnetic (low p) and ferromagnetic (higher values of p) orderings at low temperatures. |
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Keywords: | 05 50 +q 64 60 Cn 75 10 Hk 75 40 Cx |
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