In a previous paper certain “corner transfer matrices” 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.
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Baxter, R.J. Corner transfer matrices of the eight-vertex model. II. The Ising model case. J Stat Phys 17, 1–14 (1977). https://doi.org/10.1007/BF01089373
- Statistical mechanics
- lattice statistics
- eight-vertex model
- Ising model
- corner transfer matrices
- spontaneous magnetization