The Hubbard Model: Its Physics and its Mathematical Physics (NATO Science Series: B:)

Baeriswyl, Dionys

ISBN 10: 0306450038 / ISBN 13: 9780306450037

Published by Springer, 1995

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Seller Inventory # ERICA77503064500386

Bibliographic Details

• Title: The Hubbard Model: Its Physics and its Mathematical Physics (NATO Science Series: B:)
• Publisher: Springer
• Publication Date: 1995
• Language: English
• ISBN 10: 0306450038
• ISBN 13: 9780306450037
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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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).