Abstract
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.
Highlights
The study of quantum integrable models is an interesting subject in the fields of cold atoms, quantum field theory, condensed matter physics and statistic mechanics [1,2,3,4,5]
We study the thermodynamic limit and boundary energy of the spin-1 isotropic
If the non-diagonal boundary parameters are α+ = α− = 0, or α+ = −α− = 0 and φ− = φ+, the parameter c in Eq(22) becomes zero and the corresponding T − Q relation (18) is naturally reduced to the conventional diagonal one [30] obtained by the algebraic Bethe Ansatz
Summary
The study of quantum integrable models is an interesting subject in the fields of cold atoms, quantum field theory, condensed matter physics and statistic mechanics [1,2,3,4,5]. In the past few decades, the exact results of high spin models with periodic [7,8,9,10, 20,21,22,23,24,25] and parallel boundary fields [26,27,28,29] have been extensively studied. With the help of this idea, the thermodynamic limit, surface energy and elementary excitations of spin-1/2 XXZ spin chain with arbitrary boundary fields are studied [54]. The boundary energy of the SU(3) symmetric spin-1 chain with generic integrable open boundaries is obtained [55].
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