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Random field Ising model on a semi-decorated square lattice

✍ Scribed by T. Horiguchi; L.L. Gonçalves

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
578 KB
Volume
155
Category
Article
ISSN
0378-4371

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✦ Synopsis

We investigate an Ising model in correlated random fields on a semi-decorated square lattice in connection with the random field problem. We map the system into the one solved by Longa and show that the system has a critical behaviour.

The explicit calculation is given for the critical temperature when the probability density of the random fields is discrete, Gaussian or uniform.

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A mean-field approximation is used to study the effects of random crystal field on the critical behaviour of decorated ferrimagnetic Ising model, in which the two magnetic atoms A and B have spins s A ¼ 1 2 and S B ¼ 1, respectively. The results indicate that there may exist some interesting phenome