The Yangian symmetry of the Hubbard models with variable range hopping
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Publication:1967856
DOI10.1016/0375-9601(96)00174-0zbMath0972.82512arXivcond-mat/9512071OpenAlexW3125746919MaRDI QIDQ1967856
V. I. Inozemtsev, Frank Göhmann
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9512071
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)
Related Items (11)
Generic representation of \(Y(\mathrm{so}(3))\) based on the Lie algebraic basis of \(\mathrm{so}(3)\) ⋮ Yangian \(Y(sl(2))\) in hydrogen atom ⋮ \(Y(su(2))\) symmetry of Landau levels on the sphere ⋮ Yangian symmetries and integrability of the Dirac equation with spin symmetry ⋮ Greater understanding of the hydrogen atom: RTT-integrability and Yangian symmetry ⋮ Yangian symmetry and quantum inverse scattering method for the one-dimensional Hubbard model ⋮ The Yangian symmetry for three-spin-1/2 and four-spin-1/2 Heisenberg XXX models ⋮ Scalar symmetries of the Hubbard models with variable range hopping ⋮ Algebraic solution of the Hubbard model on the infinite interval ⋮ Yangian and topological basis expressions of two types of XXZ spin chains ⋮ Coarse-grained description of \(q\)-deformation top and t-j model
Cites Work
- Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions
- Decorated star-triangle relations and exact integrability of the one-dimensional Hubbard model.
- Yang-Baxter equation in long-range interacting systems
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
- Exact results for a Hubbard chain with long-range hopping
- Integrals of motion of the Haldane-Shastry model
- The Yangian symmetry of the Hubbard model
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