Iterative Diagonalization of Inhomogeneous Heisenberg Models

V. L. Pokrovaskiǐ, S.B. Khokhlachev

Jiadong Shi, Wenchao Ma, Xue‐Ke Song +2 more

Panpan Xue, Guang-Liang Li, Junpeng Cao +3 more

Abstract The B 1 vertex model is studied by the off-diagonal Bethe ansatz method. New closed operator product identities of the fused transfer matrices are obtained by using the fusion technique. Based on them and the asymptotic behaviors as well as the values of the fused transfer matrices at certain points, the exact solutions of the B 1 model with periodic and with integrable off-diagonal open boundary conditions are obtained. We find that the degree of the polynomial of the inhomogeneous T − Q relation is lower. The B 1 model is equivalent to the integrable spin-1 Heisenberg chain, thus the method and the results in this paper can be generalized to the high spin Heisenberg model and the integrable models associated with B n Lie algebra.

Zhihan Zheng, Pei Sun, Xiaotian Xu +3 more

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the T-Q relation at the ground state are calculated by the density matrix renormalization group. Based on our findings, the boundary energy of the system in the thermodynamic limit can be obtained from Bethe ansatz equations of a related model with parallel boundary fields. These results can be generalized to the SU(2) symmetric high spin Heisenberg model directly.

Е. В. Гусев

Martin Ziegler, Benno Fuchssteiner