Samenvatting
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.
| Originele taal-2 | Engels |
|---|---|
| Artikelnummer | 059903 |
| Tijdschrift | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2022 |
| Nummer van het tijdschrift | 5 |
| DOI's |
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| Status | Gepubliceerd - 1 mei 2022 |
Vingerafdruk
Duik in de onderzoeksthema's van 'Erratum: The open XXZ chain at Δ= -1/2 and the boundary quantum Knizhnik-Zamolodchikov equations (Journal of Statistical Mechanics: Theory and Experiment (2021) (013104) DOI: 10.1088/1742-5468/abd028)'. Samen vormen ze een unieke vingerafdruk.Citeer dit
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