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A NEW CLUSTER APPROXIMATION TO THE ISING AND HEISENBERG SPIN SYSTEMS : DILUTION EFFECT AND ROLE OF THE SECOND NEIGHBOR INTERACTION

Hiroshi Mano

Published Mar 25, 1976• 0 citations
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The mean field renormalization group is extended in order to study spin-S Ising models (S≥1) by introducing additional parameters in the Hamiltonians of the clusters, in the same spirit as the mean field approach. These new parameters are then consistently obtained according to finite size scaling ideas and quite good results are obtained, even for the smallest choice of the clusters. Moreover, the mean value of the square of the spin along the second-order transition line can also be obtained from the present formalism.