Erratum: The open XXZ chain at Δ = −1/2 and the boundary quantum Knizhnik–Zamolodchikov equations (2021 J. Stat. Mech. 013104)
Abstrak
Abstract The open XXZ spin chain with the anisotropy parameter Δ = − 1 2 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.
Penulis (2)
Christian Hagendorf
Jean Liénardy
Akses Cepat
- Tahun Terbit
- 2022
- Bahasa
- en
- Sumber Database
- CrossRef
- DOI
- 10.1088/1742-5468/ac650d
- Akses
- Open Access ✓