Bethe Ansatz and boundary energy of the open spin-1/2 XXZ chain

Details Bethe Ansatz and boundary energy of the open spin-1/2 XXZ chain Bethe Ansatz and boundary energy of the open spin-1/2 XXZ chain

2006-09-16

arxiv.org/abs/hep-th/0609114v2

Czech.J.Phys.56:1237-1242,2006

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex; contribution to the XVth International Colloquium on Integrable Systems and Quantum Symmetries, Prague, June 2

Scientific paper

10.1007/s10582-006-0431-9

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.

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