Yangian symmetry and quantum inverse scattering method for the one-dimensional Hubbard model

DOI10.1016/S0375-9601(96)00953-XzbMath0962.82542arXivcond-mat/9609249OpenAlexW3106099442MaRDI QIDQ1968181

Frank Göhmann, Shuichi Murakami

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/9609249

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Inverse scattering problems in quantum theory (81U40) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (6)

Unnamed Item ⋮ Pseudoparticle approach to 1D integrable quantum models ⋮ Absence of ballistic charge transport in the half-filled 1D Hubbard model ⋮ Algebraic solution of the Hubbard model on the infinite interval ⋮ The quantum inverse scattering method for Hubbard-like models. ⋮ Yangian and topological basis expressions of two types of XXZ spin chains

Cites Work

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• The symmetry of the Hubbard model
• Decorated star-triangle relations and exact integrability of the one-dimensional Hubbard model.
• Finite-difference representations of the degenerate affine Hecke algebra
• \(\text{SU}(2)\times\text{SU}(2)\)-invariant scattering matrix of the Hubbard model.
• The Yangian symmetry of the Hubbard models with variable range hopping
• Integrability of a Hubbard-like model: lattice analogue of the \(\delta\)-function interacting gas
• Yang-Baxter equation in long-range interacting systems
• Connection between Yangian symmetry and the quantum inverse scattering method
• Exact Integrability of the One-Dimensional Hubbard Model
• The spectral theory of a functional-difference operator in conformal field theory
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• The Yangian symmetry of the Hubbard model

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