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Corner transfer matrices of the eight-vertex model. II. The Ising model case


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).

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Key words

  • Statistical mechanics
  • lattice statistics
  • eight-vertex model
  • Ising model
  • corner transfer matrices
  • spontaneous magnetization