Determinant formula for the six-vertex model

A. G. Izergin; D. A. Coker; V. E. Korepin

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

Determinant formula for the six-vertex model

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

Institute for Theoretical Physics

Steklov Mathematical Institute

Research output: Contribution to journal › Article › peer-review

148 Scopus 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).

Original language	English
Article number	010
Pages (from-to)	4315-4334
Number of pages	20
Journal	Journal of Physics A: Mathematical and General
Volume	25
Issue number	16
DOIs	https://doi.org/10.1088/0305-4470/25/16/010
State	Published - 1992

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title = "Determinant formula for the six-vertex model",

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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AU - Izergin, A. G.

AU - Coker, D. A.

AU - Korepin, V. E.

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N2 - 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).

AB - 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).

UR - https://www.scopus.com/pages/publications/0001128390

U2 - 10.1088/0305-4470/25/16/010

DO - 10.1088/0305-4470/25/16/010

M3 - Article

AN - SCOPUS:0001128390

SN - 0305-4470

VL - 25

SP - 4315

EP - 4334

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 16

M1 - 010

ER -

Determinant formula for the six-vertex model

Abstract

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