Journal of Physics A Mathematical and General

Determinant formula for the six-vertex model

Anatoli G. Izergin, D A Coker, V. E. Korepin

Published Aug 21, 1992• 184 citations

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).

DOI: 10.1088/0305-4470/25/16/010

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