Wednesday, July 3, 2013

1307.0280 (Junpeng Cao et al.)

Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe

Junpeng Cao, Wen-Li Yang, Kang-Jie Shi, upeng Wang
The spin-${\frac 12}$ $XYZ$ model with periodic boundary condition is studied in the framework of off-diagonal Bethe ansatz. General spectrum of the Hamiltonian is derived by constructing an extended $T-Q$ relation as well as the corresponding Bethe ansatz equations (BAEs) based on the operator product identities. This generalized $T-Q$ ansatz allows us to parameterize the eigenvalues in different forms and to treat both even $N$ and odd $N$ cases in an unified framework. For even $N$ case, we recover Baxter's solution by taking a proper limit of our BAEs.
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