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Nato Science Series B:

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

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)

Table of contents (44 chapters)
  • The Hubbard Model: Some Rigorous Results and Open Problems

    Pages 1-19

    Lieb, Elliott H.

  • On the Bethe Ansatz Soluble Degenerate Hubbard Model

    Pages 21-28

    Frahm, Holger (et al.)

  • Thermodynamical Properties of the Exactly Solvable 1/r-Hubbard- and 1/r-tJ-Model

    Pages 29-38

    Gebhard, Florian

  • Hierarchy of 1D Electron Models with Long-Range Interaction

    Pages 39-46

    Kawakami, Norio

  • One-Dimensional Luttinger Liquid of Particles for a Class of Infinitely Repulsive Interactions: Exact Solution

    Pages 47-54

    Gómez-Santos, G.

Buy this book

eBook $169.00
price for USA in USD
  • ISBN 978-1-4899-1042-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
Softcover $219.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Hubbard Model
Book Subtitle
Its Physics and Mathematical Physics
Editors
  • 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