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.
In: Journal of Statistical Mechanics: Theory and Experiment, No. 8, 01.08.2005, p. 41-53.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 -