Determinant formula for the six-vertex model

1992187 citationsJournal Article

Authors

A. G. Izergin · St. Petersburg Department of Steklov Institute of Mathematics

Doğan Çoker · St. Petersburg Department of Steklov Institute of Mathematics

V. E. Korepin · St. Petersburg Department of Steklov Institute of Mathematics

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).

Topics & Keywords

Algebraic structures and combinatorial models Quantum many-body systems Theoretical and Computational Physics

Publication Details

Published in: Journal of Physics A Mathematical and General

Volume 25, Issue 16, pp. 4315-4334

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

Field-Weighted Citation Impact: 0.54

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Determinant formula for the six-vertex model

Authors

Abstract

Topics & Keywords

Publication Details