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

DOI10.1016/J.AOP.2011.09.001zbMath1248.82010arXiv1003.4499OpenAlexW4298162270WikidataQ59898568 ScholiaQ59898568MaRDI QIDQ412125

José M. P. Carmelo

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/1003.4499

zbMATH Keywords

Hubbard model on the square lattice global symmetryHubbard model rotated-electron descriptioninterplay of symmetry and electronic correlationsspinon confinement

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Zero finite-temperature charge stiffness within the half-filled 1D Hubbard model

Cites Work

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• Systematic low-energy effective theory for magnons and charge carriers in an antiferromagnet
• Global \(SO(3) \times SO(3) \times U(1)\) symmetry of the Hubbard model on bipartite lattices
• 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
• Decorated star-triangle relations and exact integrability of the one-dimensional Hubbard model.
• A dielectric formulation of the many body problem: Application to the free electron gas

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