On Quantum Groups in the Hubbard Model with Phonons

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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.
latex, 17 pages

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Condensed Matter, High Energy Physics - Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/186896

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9510074
 http://arxiv.org/abs/cond-mat/9510074
 J.Phys.A29:845-858,1996
 doi:10.1088/0305-4470/29/4/012

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arXiv