Theoretical analysis of the Ising ferromagnetic transition for cubic lattices

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New relations, the 'i- delta relations', are presented for the evaluation of higher-order critical correlation functions for the three-dimensional spin-1/2 Ising model. The critical temperatures T c for the cubic lattices are then calculated and are found to be within 1/2% of the results of series analysis. Monte Carlo calculations are performed on the simple cubic lattice, and are found to bear out the theoretical predictions for the correlation functions to within 1.3%, for the basic Tc-determining equations to within 0.5%, and for the i- delta relations to within 2.5%. An earlier theory, which uses the critical correlation function approximation, is critically examined both theoretically and by comparison with the Monte Carlo results.

Original languageEnglish
JournalJournal of Physics C: Solid State Physics
Issue number6
Pages (from-to)1233-1249
Number of pages17
Publication statusPublished - 1982
Externally publishedYes

ID: 238392785