Global \(SO(3) \times SO(3) \times U(1)\) symmetry of the Hubbard model on bipartite lattices

DOI10.1016/J.AOP.2010.03.002zbMath1197.82039arXiv0802.2146OpenAlexW2035364700WikidataQ59898577 ScholiaQ59898577MaRDI QIDQ990007

Maria J. Sampaio, Stellan Ostlund, José M. P. Carmelo

Publication date: 24 August 2010

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2146

zbMATH Keywords

structurerepresentation of Lie groupsgeneral properties

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Exactly solvable models; Bethe ansatz (82B23) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Pseudoparticle approach to 1D integrable quantum models ⋮ Absence of ballistic charge transport in the half-filled 1D Hubbard model ⋮ Zero finite-temperature charge stiffness within the half-filled 1D Hubbard model ⋮ The \(SO(3) \times SO(3) \times U(1)\) Hubbard model on a square lattice in terms of \(c\) and \(\alpha \nu\) fermions and deconfined \(\eta\)-spinons and spinons ⋮ One-electron singular spectral features of the 1D Hubbard model at finite magnetic field ⋮ Pseudofermion dynamical theory for the spin dynamical correlation functions of the half-filled 1D Hubbard model

Cites Work

• Unnamed Item
• Flow equations and the strong-coupling expansion for the Hubbard model
• The quantum inverse scattering method for Hubbard-like models.
• The cold atom Hubbard toolbox
• The square-lattice quantum liquid of charge \(c\) fermions and spin-neutral two-spinon \(s\)1 fermions
• Decorated star-triangle relations and exact integrability of the one-dimensional Hubbard model.

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