A possible combinatorial point for the XYZ spin chain

DOI10.1007/s11232-010-0078-3zbMath1307.82006arXiv0911.5030OpenAlexW2069643954MaRDI QIDQ461519

A. V. Razumov, Yu. G. Stroganov

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5030

zbMATH Keywords

ground statesum rulecombinatorial pointXYZ spin chain

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Calculation of multi-fractal dimensions in spin chains, A combinatorial description of certain polynomials related to the XYZ spin chain. II: The polynomials \(p_n\), Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI, The eight-vertex model and lattice supersymmetry, Spin chains with dynamical lattice supersymmetry, On the transfer matrix of the supersymmetric eight-vertex model. II. Open boundary conditions, A combinatorial description of certain polynomials related to the XYZ spin chain, The nineteen-vertex model and alternating sign matrices, Elliptic pfaffians and solvable lattice models, On the transfer matrix of the supersymmetric eight-vertex model. I. Periodic boundary conditions, Special polynomials related to the supersymmetric eight-vertex model: a summary, Asymptotic behavior of the emptiness formation probability in the critical phase of \(XXZ\) spin chain, Sum rules for the supersymmetric eight-vertex model, Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder

Cites Work

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• Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
• Refined enumerations of some symmetry classes of alternating-sign matrices
• Alternating sign matrices and descending plane partitions
• \(XXZ\) spin chain with the asymmetry parameter \(\Delta = -1/2\): evaluation of the simplest correlators
• Symmetry classes of alternating-sign matrices under one roof
• Partition function of the eight-vertex lattice model
• The importance of being odd
• The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
• The eight-vertex model and Painlevé VI
• Ground state of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter Delta = ½
• Spin chains and combinatorics
• Eight-vertex model and non-stationary Lamé equation
• Spin chains and combinatorics: twisted boundary conditions
• Non-local spacetime supersymmetry on the lattice
• Polynomial solutions ofqKZ equation and ground state of XXZ spin chain at Δ = −1/2
• Finite size \(XXZ\) spin chain with anisotropy parameter \(\Delta=\frac 12\)