On Quantum Groups in the Hubbard Model with Phonons

Details On Quantum Groups in the Hubbard Model with Phonons On Quantum Groups in the Hubbard Model with Phonons

1995-10-13

arxiv.org/abs/cond-mat/9510074v1

J.Phys.A29:845-858,1996

Physics

Condensed Matter

latex, 17 pages

Scientific paper

10.1088/0305-4470/29/4/012

The correct Hamiltonian for an extended Hubbard model with quantum group symmetry as introduced by A. Montorsi and M. Rasetti is derived for a D-dimensional lattice. It is shown that the superconducting SUq(2) holds as a true quantum symmetry only for D = 1 and that terms of higher order in the fermionic operators in addition to phonons are required for a quantum symmetric hamiltonian. The condition for quantum symmetry is "half filling" and there is no local electron-phonon coupling. A discussion of Quantum symmetries in general is given in a formalism that should be readily accessible to non Hopf-algebraists.

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