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Corner transfer matrices of the eight-vertex model. II. The Ising model case
Authors:R. J. Baxter
Affiliation:(1) Research School of Physical Sciences, The Australian National University, Canberra, Australia
Abstract:
In a previous paper certain ldquocorner transfer matricesrdquo were defined. It was conjectured that for the zero-field, eight-vertex model these matrices have a very simple eigenvalue spectrum. In this paper these conjectures are verified for the case when the eight-vertex model reduces to two independent and identical square-lattice Ising models. The Onsager-Yang expression for the magnetization follows immediately.
Keywords:Statistical mechanics  lattice statistics  eight-vertex model  Ising model  corner transfer matrices  spontaneous magnetization
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