FermionicR-Operator and Integrability of the One-Dimensional Hubbard Model

DOI10.1143/JPSJ.67.2242zbMath0943.82004arXivcond-mat/9806144MaRDI QIDQ4491473

Miki Wadati, Yukiko Umeno, M. Shiroishi

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9806144

zbMATH Keywords

integrabilitydecorated Yang-Baxter equation

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (12)

The tetrahedral Zamolodchikov algebra and the \(\mathrm{Ad}S_5\times S^5\) S-matrix ⋮ Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation ⋮ An algebraic approach to the Hubbard model ⋮ The tetrahedral Zamolodchikov algebra for the fermionic Bazhanov-Stroganov \(R\)-operator ⋮ On extension of the Yang-Baxter equation and the fermionic \(R\)-operator ⋮ On integrability of the one-dimensional Hubbard model ⋮ Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras ⋮ Network models: action formulation ⋮ The Lax pair for the fermionic Bazhanov-Stroganov \(R\)-operator ⋮ Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT ⋮ Results on the symmetries of integrable fermionic models on chains ⋮ The Yang–Baxter paradox

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