Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields

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.

26 pages, 4 figures

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• Separation of Variables in the open XXX chain
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Functional Bethe ansatz methods for the open XXX chain
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Cited by in corpus (3)

• Integrability and complexity in quantum spin chains
• $OSp(n|2m)$ quantum chains with free boundaries
• Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries