Overview

This comprehensive review covers our current understanding of the metal-insulator transition due to electron-electron interactions. A pedagogical introduction to the basic concepts for the Mott transition, the Hubbard model, and various analytical approaches to correlated electron systems is presented. A new classification scheme for Mott insulators as Mott-Hubbard and Mott-Heisenberg insulators is proposed. Traditional methods like Hartree-Fock theory, local-density approximations, Green function decouplings, variational wave functions, and slave Boson techniques are critically examined for their potential to describe the Mott transition. Exactly solvable Hubbard-type models in one dimension and in the limit of high dimensions provide decisive clues to the mechanism behind the metal-insulator transition.

Full Product Details

Author:   Florian Gebhard
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1997 ed.
Volume:   137
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.440kg
ISBN:  

9783540614814

ISBN 10:   3540614818
Pages:   318
Publication Date:   20 March 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
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Table of Contents

Metal—Insulator Transitions.- Hubbard Model.- Approximate Methods.- One-Dimensional Hubbard Models.- Hubbard Model in Infinite Dimensions.- Further Models with Hubbard Interaction.- Conclusions.

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