Buch, Englisch, 318 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 511 g
Models and Methods
Buch, Englisch, 318 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 511 g
Reihe: Springer Tracts in Modern Physics
ISBN: 978-3-642-08263-4
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Elektromagnetismus Elektrizität, Elektrodynamik
- Naturwissenschaften Physik Elektromagnetismus Halbleiter- und Supraleiterphysik
- Naturwissenschaften Physik Elektromagnetismus Magnetismus
- Technische Wissenschaften Technik Allgemein Technik: Allgemeines
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
Weitere Infos & Material
Metal—Insulator Transitions.- Hubbard Model.- Approximate Methods.- One-Dimensional Hubbard Models.- Hubbard Model in Infinite Dimensions.- Further Models with Hubbard Interaction.- Conclusions.
