Determinant formula for the six-vertex model

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, , Citation A G Izergin et al 1992 J. Phys. A: Math. Gen. 25 4315 DOI 10.1088/0305-4470/25/16/010

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1 Math. Inst., Acad. of Sci., St. Petersburg, Russia

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Abstract

The partition function of a six-vertex model with domain wall boundary conditions is considered on the finite lattice. The authors show that the partition function satisfies a recursive relation. They solve the recursion relation by a determinant formula. This gives a determinant representation for the partition function. They use the Quantum Inverse Scattering Method (QISM).

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