The critical temperature of two-dimensional and three-dimensional Ising models

B. Liu, M. Gitterman

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The critical temperatures of the Ising model car be obtained by considering the elementary cells of the corresponding lattice, namely the square lattice in two dimensions and the cube in three dimensions. The configurations in the statistical sum of a cell are divided into nondegenerate and degenerate cases. At the critical temperature of the infinite lattice the contributions of these two groups of configurations are assumed to be equal. This conjecture reproduces the exact Onsager result for two dimensions and the numerical result for the three-dimensional Ising lattices. Although this conjecture is not exact, it gives insight into the nature of the transitions.

Original languageEnglish
Pages (from-to)806-808
Number of pages3
JournalAmerican Journal of Physics
Issue number8
StatePublished - 1 Aug 2003


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