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- W3120073108 abstract "The open XXZ spin chain with the anisotropy parameter $Delta=-frac12$ and diagonal boundary magnetic fields that depend on a parameter $x$ is 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." @default.
- W3120073108 created "2021-01-18" @default.
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- W3120073108 date "2021-01-01" @default.
- W3120073108 modified "2023-09-25" @default.
- W3120073108 title "The open XXZ chain at Δ = −1/2 and the boundary quantum Knizhnik–Zamolodchikov equations" @default.
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- W3120073108 doi "https://doi.org/10.1088/1742-5468/abd028" @default.
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