2013/07/31 by Junpeng Cao, Wen-Li Yang, Kangjie Shi +1
Mathematics · Physics and Astronomy · #cond-mat.stat-mech #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.nuclphysb.2013.10.001
published as Nucl. Phys. B 877 [FS] (2013) 152-175 · 30 pages, 2 tables, published version, numerical check is added. arXiv admin note: text overlap with arXiv:1306.1742
arxiv created 2013/10/27 · arxiv updated 2015/06/16
The anisotropic spin-1/2 chains with arbitrary boundary fields are diagonalized with the off-diagonal Bethe ansatz method. Based on the properties of the R-matrix and the K-matrices, an operator product identity of the transfer matrix is constructed at some special points of the spectral parameter. Combining with the asymptotic behavior (for XXZ case) or the quasi-periodicity properties (for XYZ case) of the transfer matrix, the extended T-Q ansatzs and the corresponding Bethe ansatz equations are derived.