Résumé
The open XXZ spin chain with the anisotropy parameter "=-12 and diagonal boundary magnetic fields that depend on a parameter x are studied. For real x > 0, the exact finite-size ground-state eigenvalue of the spin-chain Hamiltonian is explicitly computed. In a suitable normalisation, the ground-state components are characterised as polynomials in x with integer coefficients. Linear sum rules and special components of this eigenvector are explicitly computed in terms of determinant formulas. These results follow from the construction of a contour-integral solution to the boundary quantum Knizhnik-Zamolodchikov equations associated with the R-matrix and diagonal K-matrices of the six-vertex model. A relation between this solution and a weighted enumeration of totally-symmetric alternating sign matrices is conjectured.
| langue originale | Anglais |
|---|---|
| Numéro d'article | 059903 |
| journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2022 |
| Numéro de publication | 5 |
| Les DOIs |
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| état | Publié - 1 mai 2022 |
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