| The Hubbard Model: Its Physics and Mathematical Physics 1995 Edition Contributor(s): Baeriswyl, Dionys (Editor), Campbell, David K. (Editor), Carmelo, Jose M. P. (Editor) |
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ISBN: 0306450038 ISBN-13: 9780306450037 Publisher: Springer OUR PRICE: $208.99 Product Type: Hardcover - Other Formats Published: November 1995 |
| Additional Information |
| BISAC Categories: - Science | Physics - Condensed Matter - Science | Physics - Nuclear - Science | Physics - Mathematical & Computational |
| Dewey: 530.41 |
| LCCN: 95016420 |
| Series: NATO Science Series B: |
| Physical Information: 0.94" H x 7" W x 10" (2.10 lbs) 407 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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). |
