Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-04-13
J.Stat.Mech.0505:P05007,2005
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX; amssymb, no figures; v2: published version + Addendum; v3: correct Eq. (3.40)
Scientific paper
10.1088/1742-5468/2005/05/P05007
The transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe Ansatz solution for the transfer matrix eigenvalues for the special cases that all but one of the boundary parameters are zero, and the bulk anisotropy parameter is \eta = i\pi/3, i\pi/5 ,... In an Addendum, these results are extended to the cases that any two of the boundary parameters {\alpha_-, \alpha_+,\beta_-, \beta_+} are arbitrary and the remaining boundary parameters are either \eta or i \pi/2.
Murgan Rajan
Nepomechie Rafael I.
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