Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms

Abstract

We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we propose the Bethe ansatz solution for the transfer matrix eigenvalues for cases where atmost two of the boundary parameters are set to be arbitrary and the bulk anisotropy parameter has values η= i π/3, i π/5,... We present numerical evidence to demonstrate completeness of the Bethe ansatz solutions derived for s = 1/2 and s = 1.

29 pages; v2: footnote added; minor revisions

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Cited by in corpus (14)

• Exact solution of the spin-s Heisenberg chain with generic non-diagonal boundaries
• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
• Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
• The solution of an open XXZ chain with arbitrary spin revisited
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited
• The spectrum of an open vertex model based on the U_q[SU(2)] at roots of unity