Hubbard Model : Its Physics and Mathematical Physics

Baeriswyl, Dionys (EDT); Campbell, David K. (EDT); Carmelo, Jose M. P. (EDT); Guinea, Francisco (EDT); Louis, Enrique (EDT)

ISBN 10: 1489910441 / ISBN 13: 9781489910448

Edité par Springer, 2013

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Détails bibliographiques

• Titre: Hubbard Model : Its Physics and Mathematical Physics
• Éditeur: Springer
• Date de parution: 2013
• Langue: anglais
• ISBN à 10 chiffres: 1489910441
• ISBN à 13 chiffres: 9781489910448
• Reliure: Couverture souple
• État de l'article: As New

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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).