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.
@article{arxiv.1307.2023,
title = {Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields},
author = {Junpeng Cao and Wen-Li Yang and Kangjie Shi and Yupeng Wang},
journal= {arXiv preprint arXiv:1307.2023},
year = {2015}
}
Comments
30 pages, 2 tables, published version, numerical check is added. arXiv admin note: text overlap with arXiv:1306.1742