The Hubbard Model: Its Physics and Mathematical Physics
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Bibliographische Detailangaben
1. Verfasser: Baeriswyl, Dionys (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Boston, MA Springer US 1995
Schriftenreihe:NATO ASI Series, Series B: Physics 343
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Beschreibung: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)
Beschreibung:1 Online-Ressource (XII, 407 p)
ISBN:9781489910424
9781489910448
ISSN:0258-1221
DOI:10.1007/978-1-4899-1042-4

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