The Hubbard Model : Its Physics and Mathematical Physics

Language: English

Published by Springer, 2013

1489910441 / 9781489910448

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Druck auf Anfrage Neuware - Printed after ordering - 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).

Seller Inventory # 9781489910448

Title
The Hubbard Model : Its Physics and Mathematical Physics
Author
Enrique Louis
Publisher
Springer
Publication year
2013
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1489910441
ISBN 13
9781489910448
Item weight
786 grams
Dimensions
254x178x23 mm

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