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 › peer-review

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

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10.1088/1742-5468/2005/08/P08002

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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)

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Generalized T-Q relations and the open XXZ chain

Abstract

Keywords

ASJC Scopus subject areas

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