Partition function of the eight-vertex model with domain wall boundary condition

Details Partition function of the eight-vertex model with domain wall boundary condition Partition function of the eight-vertex model with domain wall boundary condition

2009-03-18

arxiv.org/abs/0903.3089v2

J. Math. Phys. 50 (2009), 083518

Physics

Condensed Matter

Statistical Mechanics

Latex file, 20 pages; V2, references added

Scientific paper

We derive the recursive relations of the partition function for the eight-vertex model on an $N\times N$ square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the explicit expression of the domain wall partition function of the model. In the trigonometric/rational limit, our results recover the corresponding ones for the six-vertex model.

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