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    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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612-822-4611
The Hubbard Model: Its Physics and Mathematical Physics

The Hubbard Model: Its Physics and Mathematical Physics

Carmelo, Jose M. P.
Campbell, David K.
Baeriswyl, Dionys

Hardcover

Series: NATO Science Series B:, Book 343

Physics

ISBN10: 0306450038
ISBN13: 9780306450037
Publisher: Springer
Published: Nov 30 1995
Pages: 407
Weight: 2.10
Height: 0.94 Width: 7.00 Depth: 10.00
Language: English
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).

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