Symmetries of an Extended Hubbard Model

zbMATH Open0872.17028arXivcond-mat/9605121MaRDI QIDQ4343373

Peter Schupp, Bianca L. Cerchiai

Publication date: 6 July 1997

Abstract: An extended Hubbard model with phonons is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting SU_q(2) holds as a true quantum symmetry - but only for D=1. In a natural basis the symmetry requires vanishing local phonon coupling; a quantum symmetric Hubbard model without phonons can then be obtained by a mean field approximation.

Full work available at URL: https://arxiv.org/abs/cond-mat/9605121

zbMATH Keywords

quantum group symmetryquantum symmetryextended Hubbard modelsuperconducting \(SU_ q(2)\)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Statistical mechanics of superconductors (82D55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Symmetries of a mean-field spin model ⋮ A hidden symmetry in an excited state of the one-dimensional Hubbard model ⋮ Quantum group symmetry of the Hubbard model. ⋮ Symmetry Classes of Spin and Orbital Ordered States in a Triply Degenerate t2g Hubbard Model ⋮ EXTENDED HUBBARD HAMILTONIAN WITH (SUPER)SYMMETRIES: ADDITIVE POLYNOMIAL R-MATRIX FOR SOME INTEGRABLE CASES

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