TY - JOUR
T1 - Erratum
T2 - 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)
AU - Hagendorf, Christian
AU - Lienardy, Jean
N1 - Publisher Copyright:
© 2022 IOP Publishing Ltd and SISSA Medialab srl.
PY - 2022/5/1
Y1 - 2022/5/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85131520374&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/ac650d
DO - 10.1088/1742-5468/ac650d
M3 - Comment/debate
AN - SCOPUS:85131520374
SN - 1742-5468
VL - 2022
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
IS - 5
M1 - 059903
ER -