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Spontaneous magnetization of the superintegrable chiral Potts model: Calculation of the determinant D PQ

Baxter, Rodney

Description

For the Ising model, the calculation of the spontaneous magnetization leads to the problem of evaluating a determinant. Yang did this by calculating the eigenvalues in the large-lattice limit. Montroll, Potts and Ward expressed it as a Toeplitz determinant and used Szeg's theorem: this is almost certainly the route originally travelled by Onsager. For the corresponding problem in the superintegrable chiral Potts model, neither approach appears to work: here we show that the determinant DPQ can...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/64265
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/43/14/145002

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