Quasi-classical descendants of disordered vertex models with boundaries

DOI10.1016/S0550-3213(02)00811-8zbMath0999.82011arXivcond-mat/0206521WikidataQ62582609 ScholiaQ62582609MaRDI QIDQ1847756

Luigi Amico, Gaetano Giaquinta, Antonio Di Lorenzo, Andreas Osterloh, Kazuhiro Hikami

Publication date: 23 October 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0206521

zbMATH Keywords

algebraic Bethe ansatzboundary-Yang-Baxter equation power expansionquasi-classical spin-spin scattering

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Unnamed Item
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• Electrostatic analogy for integrable pairing force Hamiltonians
• Factorizing particles on a half-line and root systems
• Yang-Baxter equation and representation theory. I
• Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields
• Conformal field theory and the exact solution of the BCS Hamiltonian
• The BCS model and the off-shell Bethe ansatz for vertex models
• A restricted class of exact eigenstates of the pairing-force Hamiltonian
• Boundary K-matrices for the six vertex and the n(2n-1)A_n-1vertex models
• Separation of variables in the BC-type Gaudin magnet
• Boundary conditions for integrable quantum systems
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Bethe vectors of the \(\text{osp}(1\mid 2)\) Gaudin model
• Integrable models for confined fermions: applications to metallic grains