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Some Upper Bounds for the Critical Temperature for Ising Model with Four-spin Interactions |
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| Authors: | F. C. Sá Barreto |
| Affiliation: | 1. Departamento de Ciências Naturais, Universidade Federal de S?o Jo?o del Rei, C. P. 110, CEP, 36301-160, S?o Jo?o del Rei, Brazil 2. Departamento de Física, Universidade Federal de Minas Gerais, 31270-901, Belo Horizonte, Minas Gerais, Brazil |
| Abstract: | Upper bounds for the critical temperature of Ising models with different types of four-spin interactions on honeycomb and square lattices, which act only between the nearest-neighbor sites or to the nearest- and next-nearest-neighbor sites in addition to the conventional pair interactions, are obtained, using an exact relation for the two-spin correlation functions and rigorous inequalities for the spin correlation functions. |
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