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Springer series in synergetics

On the Three-Dimensional ± J Ising Model by the Transfer Matrix Method

Hidetsugu Kitatani, T. Oguchi

Published Jan 1, 1989• 2 citations
Publisher
DOI
10.1007/978-3-642-74554-6_44

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International Journal of Modern Physics B•Jun 9, 2011•6 citations
In this work, we present a simple approximate transfer matrix method for 2D and 3D Ising ferromagnet to calculate spontaneous magnetization of the system. The critical coupling strength Kc of 2D and 3D Ising models in reduced transfer matrix approximation is obtained quite accurately by simple improvements over the mean field theory. The important physical effect we include is the some of the fluctuations effects of the systems directly with help of this method. We predict from the spontaneous magnetization curve that the critical coupling strength Kc=J/kBT = 0.401 and 0.245 for two-dimensional (2D) and three-dimensional (3D) systems, respectively.