The Hubbard Model: Its Physics and Mathematical Physics - Couverture rigide

Couverture rigide

ISBN 10 : 0306450038 ISBN 13 : 9780306450037

Editeur : Kluwer Academic/Plenum Publishers, 1995

Synopsis

In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret- ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met- als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g., N agoaka's Theorem).

Détails de l'édition

• Éditeur: Kluwer Academic/Plenum Publishers
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0306450038
• ISBN 13: 9780306450037
• Reliure: Relié
• Nombre de pages: 419
• Éditeur: Baeriswyl Dionys, Campbell David K., Carmelo Jose M.P., Guinea Francisco, Louis Enrique
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne