The Hubbard Model
Its Physics and Mathematical Physics
Editors: Baeriswyl, D., Campbell, D.K., Carmelo, J.M.P., Guinea, F., Louis, E. (Eds.)
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- About this book
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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).
- Table of contents (44 chapters)
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The Hubbard Model: Some Rigorous Results and Open Problems
Pages 1-19
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On the Bethe Ansatz Soluble Degenerate Hubbard Model
Pages 21-28
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Thermodynamical Properties of the Exactly Solvable 1/r-Hubbard- and 1/r-tJ-Model
Pages 29-38
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Hierarchy of 1D Electron Models with Long-Range Interaction
Pages 39-46
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One-Dimensional Luttinger Liquid of Particles for a Class of Infinitely Repulsive Interactions: Exact Solution
Pages 47-54
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Table of contents (44 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- The Hubbard Model
- Book Subtitle
- Its Physics and Mathematical Physics
- Editors
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- Dionys Baeriswyl
- David K. Campbell
- Jose M.P. Carmelo
- Francisco Guinea
- Enrique Louis
- Series Title
- Nato Science Series B:
- Series Volume
- 343
- Copyright
- 1995
- Publisher
- Springer US
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4899-1042-4
- DOI
- 10.1007/978-1-4899-1042-4
- Hardcover ISBN
- 978-0-306-45003-7
- Softcover ISBN
- 978-1-4899-1044-8
- Series ISSN
- 0258-1221
- Edition Number
- 1
- Number of Pages
- XII, 407
- Topics
