Symmetries of an Extended Hubbard Model

1996/05/20 by Bianca L. Cerchiai, Peter Schupp, Cerchiai, Bianca L. +1
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #cond-mat #hep-th #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.cond-mat/9605121

plain tex, 7 pages

arxiv created 1996/05/20 · arxiv updated 2009/11/30

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.

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