Generalized T-Q relations and the open XXZ chain

Rajan Murgan; Rafael I. Nepomechie

doi:10.1088/1742-5468/2005/08/P08002

Generalized T-Q relations and the open XXZ chain

Rajan Murgan, Rafael I. Nepomechie

Physics

Research output: Contribution to journal › Article

6 Scopus citations

Abstract

We propose a generalization of the Baxter T-Q relation which involves more than one independent Q(u). We argue that the eigenvalues of the transfer matrix of the open XXZ quantum spin chain are given by such generalized T-Q relations, for the case that at most two of the boundary parameters {α_-, α₊, β_-, β₊} are nonzero, and the bulk anisotropy parameter has values η ≤ iπ/2, iπ/4, ....

Original language	English (US)
Pages (from-to)	41-53
Number of pages	13
Journal	Journal of Statistical Mechanics: Theory and Experiment
Issue number	8
DOIs	https://doi.org/10.1088/1742-5468/2005/08/P08002
State	Published - Aug 1 2005

Keywords

Integrable spin chains (vertex models)
Quantum integrability (Bethe ansatz)

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1088/1742-5468/2005/08/P08002

Fingerprint Dive into the research topics of 'Generalized T-Q relations and the open XXZ chain'. Together they form a unique fingerprint.

Cite this

Murgan, R., & Nepomechie, R. I. (2005). Generalized T-Q relations and the open XXZ chain. Journal of Statistical Mechanics: Theory and Experiment, (8), 41-53. https://doi.org/10.1088/1742-5468/2005/08/P08002

@article{d1938abcbe9a4568a572ea9d0ef2db7d,

title = "Generalized T-Q relations and the open XXZ chain",

abstract = "We propose a generalization of the Baxter T-Q relation which involves more than one independent Q(u). We argue that the eigenvalues of the transfer matrix of the open XXZ quantum spin chain are given by such generalized T-Q relations, for the case that at most two of the boundary parameters {α-, α+, β-, β+} are nonzero, and the bulk anisotropy parameter has values η ≤ iπ/2, iπ/4, ....",

keywords = "Integrable spin chains (vertex models), Quantum integrability (Bethe ansatz)",

author = "Rajan Murgan and Nepomechie, {Rafael I.}",

year = "2005",

month = aug,

day = "1",

doi = "10.1088/1742-5468/2005/08/P08002",

language = "English (US)",

pages = "41--53",

journal = "Journal of Statistical Mechanics: Theory and Experiment",

issn = "1742-5468",

publisher = "IOP Publishing Ltd.",

number = "8",

}

TY - JOUR

T1 - Generalized T-Q relations and the open XXZ chain

AU - Murgan, Rajan

AU - Nepomechie, Rafael I.

PY - 2005/8/1

Y1 - 2005/8/1

N2 - We propose a generalization of the Baxter T-Q relation which involves more than one independent Q(u). We argue that the eigenvalues of the transfer matrix of the open XXZ quantum spin chain are given by such generalized T-Q relations, for the case that at most two of the boundary parameters {α-, α+, β-, β+} are nonzero, and the bulk anisotropy parameter has values η ≤ iπ/2, iπ/4, ....

AB - We propose a generalization of the Baxter T-Q relation which involves more than one independent Q(u). We argue that the eigenvalues of the transfer matrix of the open XXZ quantum spin chain are given by such generalized T-Q relations, for the case that at most two of the boundary parameters {α-, α+, β-, β+} are nonzero, and the bulk anisotropy parameter has values η ≤ iπ/2, iπ/4, ....

KW - Integrable spin chains (vertex models)

KW - Quantum integrability (Bethe ansatz)

UR - http://www.scopus.com/inward/record.url?scp=24644484038&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24644484038&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2005/08/P08002

DO - 10.1088/1742-5468/2005/08/P08002

M3 - Article

AN - SCOPUS:24644484038

SP - 41

EP - 53

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 8

ER -