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Symmetries of an extended Hubbard model. (English) Zbl 0872.17028

Budzyński, Robert (ed.) et al., Quantum groups and quantum spaces. Lectures delivered during the minisemester, Warsaw, Poland, December 1, 1995. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 40, 361-368 (1997).
Summary: The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti [Phys. Rev. Lett. 72, 1730 ff (1994)] 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 \(D=1\).
For the entire collection see [Zbl 0865.00041].

MSC:

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