ON QUANTUM GROUPS IN THE HUBBARD-MODEL WITH PHONONS

Authors
CERCHIAI BL SCHUPP P
Citation
Bl. Cerchiai et P. Schupp, ON QUANTUM GROUPS IN THE HUBBARD-MODEL WITH PHONONS, Journal of physics. A, mathematical and general, 29(4), 1996, pp. 845-857
Citations number
12
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
4
Year of publication
1996
Pages
845 - 857
Database
ISI
SICI code
0305-4470(1996)29:4<845:OQGITH>2.0.ZU;2-N
Abstract
The correct Hamiltonian for an extended Hubbard model with quantum gro up symmetry as introduced by Montorsi and Rasetti is derived for a D-d imensional lattice. It is shown that the superconducting SUq(2) holds as a true quantum symmetry only for D = 1 and that terms of higher ord er in the fermionic operators are needed in addition to phonons. A dis cussion of quantum symmetries in general is given in a formalism that should be readily accessible to non-Hopf algebraists.