Integrable open boundary conditions for the Bariev model of three coupled XY spin chains

A. Foerster; M. D. Gould; X. W. Guan; I. Roditi; H. Q. Zhou

doi:10.1016/S0550-3213(01)00354-6

Integrable open boundary conditions for the Bariev model of three coupled XY spin chains

A. Foerster^*, M. D. Gould, X. W. Guan, I. Roditi, H. Q. Zhou

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading to nine classes of possible choices of boundary fields are found and the corresponding integrable boundary terms are presented explicitly. The boundary Hamiltonian is solved by using the coordinate Bethe ansatz technique and the Bethe ansatz equations are derived.

Original language	English
Pages (from-to)	461-478
Number of pages	18
Journal	Nuclear Physics B
Volume	612
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(01)00354-6
Publication status	Published - 1 Oct 2001
Externally published	Yes

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10.1016/S0550-3213(01)00354-6

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title = "Integrable open boundary conditions for the Bariev model of three coupled XY spin chains",

abstract = "The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading to nine classes of possible choices of boundary fields are found and the corresponding integrable boundary terms are presented explicitly. The boundary Hamiltonian is solved by using the coordinate Bethe ansatz technique and the Bethe ansatz equations are derived.",

keywords = "Algebraic Bethe ansatz, Integrable spin chains, Reflection equations, Yang-Baxter algebra",

author = "A. Foerster and Gould, {M. D.} and Guan, {X. W.} and I. Roditi and Zhou, {H. Q.}",

year = "2001",

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T1 - Integrable open boundary conditions for the Bariev model of three coupled XY spin chains

AU - Foerster, A.

AU - Gould, M. D.

AU - Guan, X. W.

AU - Roditi, I.

AU - Zhou, H. Q.

PY - 2001/10/1

Y1 - 2001/10/1

N2 - The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading to nine classes of possible choices of boundary fields are found and the corresponding integrable boundary terms are presented explicitly. The boundary Hamiltonian is solved by using the coordinate Bethe ansatz technique and the Bethe ansatz equations are derived.

AB - The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading to nine classes of possible choices of boundary fields are found and the corresponding integrable boundary terms are presented explicitly. The boundary Hamiltonian is solved by using the coordinate Bethe ansatz technique and the Bethe ansatz equations are derived.

KW - Algebraic Bethe ansatz

KW - Integrable spin chains

KW - Reflection equations

KW - Yang-Baxter algebra

UR - http://www.scopus.com/inward/record.url?scp=18044381906&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(01)00354-6

DO - 10.1016/S0550-3213(01)00354-6

M3 - Article

SN - 0550-3213

VL - 612

SP - 461

EP - 478

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Integrable open boundary conditions for the Bariev model of three coupled XY spin chains

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