### 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 | |

State | Published - Aug 1 2005 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Statistics and Probability
- Statistical and Nonlinear Physics

### Cite this

**Generalized T-Q relations and the open XXZ chain.** / Murgan, Rajan; Nepomechie, Rafael.

Research output: Contribution to journal › Article

}

TY - JOUR

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

AU - Murgan, Rajan

AU - Nepomechie, Rafael

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 -