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Algebraic reduction of the Ising model

Baxter, Rodney


We consider the Ising model on a cylindrical lattice of L columns, with fixed-spin boundary conditions on the top and bottom rows. The spontaneous magnetization can be written in terms of partition functions on this lattice. We show how we can use the Clifford algebra of Kaufman to write these partition functions in terms of L by L determinants, and then further reduce them to m by m determinants, where m is approximately L/2. In this form the results can be compared with those of the Ising...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Journal of Statistical Physics
DOI: 10.1007/s10955-008-9587-y


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