Hubbard Model (eBook)

Its Physics and Mathematical Physics

Dionys Baeriswyl, David K. Campbell, Jose M.P. Carmelo, Francisco Guinea, Enrique Louis (Herausgeber)

eBook Download: PDF

2013
Springer US (Verlag)
978-1-4899-1042-4 (ISBN)

Infos

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 ("e;Ujt"e;) 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 "e;solvable"e; many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).

Produkt-Details

• Erscheint lt. Verlag: 11.11.2013
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
• ISBN-10: 1-4899-1042-5 / 1489910425
• ISBN-13: 978-1-4899-1042-4 / 9781489910424