Bethe ansatz and boundary energy of the open spin-1/2 XXZ chain
| Autor: | Rajan Murgan |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
High Energy Physics - Theory
Physics Integrable system 010308 nuclear & particles physics FOS: Physical sciences General Physics and Astronomy Boundary (topology) 01 natural sciences Transfer matrix Bethe ansatz High Energy Physics - Theory (hep-th) Chain (algebraic topology) 0103 physical sciences Thermodynamic limit 010306 general physics Spin (physics) Eigenvalues and eigenvectors Mathematical physics |
| Zdroj: | Czechoslovak Journal of Physics. 56:1237-1242 |
| ISSN: | 1572-9486 0011-4626 |
| DOI: | 10.1007/s10582-006-0431-9 |
| Popis: | We review recent results on the Bethe Ansatz solutions for the eigenvalues of the transfer matrix of an integrable open XXZ quantum spin chain using functional relations which the transfer matrix obeys at roots of unity. First, we consider a case where at most two of the boundary parameters {{$\alpha_-$,$\alpha_+$,$\beta_-$,$\beta_+$}} are nonzero. A generalization of the Baxter $T-Q$ equation that involves more than one independent $Q$ is described. We use this solution to compute the boundary energy of the chain in the thermodynamic limit. We conclude the paper with a review of some results for the general integrable boundary terms, where all six boundary parameters are arbitrary. Comment: 6 pages, Latex; contribution to the XVth International Colloquium on Integrable Systems and Quantum Symmetries, Prague, June 2006. To appear in Czechoslovak Journal of Physics (2006); (v2) Typos corrected and a new line added in the Acknowledgments section |
| Databáze: | OpenAIRE |
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