Tuesday, July 9, 2013

1307.2023 (Junpeng Cao et al.)

Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains
with arbitrary boundary fields
   [PDF]

Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang
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.
View original: http://arxiv.org/abs/1307.2023

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