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The Mott Metal-Insulator Transition : Models and Methods - Florian Gebhard

The Mott Metal-Insulator Transition

Models and Methods

Hardcover

Published: 20th March 1997
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Little do we reliably know about the Mott transition, and we are far from a complete understanding of the metal --insulator transition due to electr- electron interactions. Mott summarized his basic ideas on the subject in his wonderful book Metal--Insulator nansitions that first appeared in 1974 11. 1). In his view, a Motk insulator displays a gap for charge-carrying excitations due to electron cowelations, whose importance is expressed by the presence of local magnetic moments regardless of whether or not they are ordered. Since the subject is far from being settled, different opinions on specific aspects of the Mott transition still persist. This book naturally embodies my own understanding of the phenomenon, inspired by the work of the late Sir Kevill Mott. The purpose of this book is twofold: first, to give a detailed presen- tion of the basic theoretical concopts for Mott insulators and, second, to test these ideas against the results from model calculations. For this purpose the Hubbard model and some of its derivatives are best suited. The Hubbard model describes a Mott transition with a mere minimum of tunable par- eters, and various exact statements and even exact solutions exist in certain limiting cases. Exact solutions not only allow us to test our basic ideas, but also help to assess the quality of approxin~ate theories for correlated electron systems.

Metal-Insulator Transitionsp. 1
Hubbard Modelp. 49
Approximate Methodsp. 79
One-Dimensional Hubbard Modelsp. 135
Hubbard Model in Infinite Dimensionsp. 185
Further Models with Hubbard Interactionp. 243
Conclusionsp. 263
Appendixp. 267
Referencesp. 281
Indexp. 309
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540614814
ISBN-10: 3540614818
Series: Springer Tracts in Modern Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 318
Published: 20th March 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.44