The One-Dimensional Hubbard Model

Fabian H.L. Essler, Holger Frahm, Frank Göhmann, Andreas Klümper, Vladimir E. Korepin

674 pages, parution le 25/01/2005

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Résumé

The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition.

This book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more recent scientific results in the field of integrable models.

L'auteur - Fabian H.L. Essler

Fabian H.L. Essler : Oxford University

L'auteur - Holger Frahm

Holger Frahm : Universität Hannover, Germany

L'auteur - Frank Göhmann

Frank Göhmann : Bergische Universität-Gesamthochschule Wuppertal, Germany

L'auteur - Andreas Klümper

Andreas Klümper : Bergische Universität-Gesamthochschule Wuppertal, Germany

L'auteur - Vladimir E. Korepin

Vladimir E. : Korepin State University of New York, Stony Brook

Sommaire

Introduction
The Hubbard Hamiltonian and its symmetries
The Bethe ansatz solution
String hypothesis
Thermodynamics in the Yang-Yang approach
Ground state properties in the thermodynamic limit
Excited states at zero temperature
Finite size corrections at zero temperature
Asymptotics of correlation functions
Scaling and continuum limits at half-filling
Universal correlations at low density
The algebraic approach to the Hubbard model
The path integral approach to thermodynamics
The Yangian symmetry of the Hubbard model
S-matrix and Yangian symmetry in the infinite interval limit
Hubbard model in the attractive case
Mathematical appendices

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Fabian H.L. Essler, Holger Frahm, Frank Göhmann, Andreas Klümper, Vladimir E. Korepin
Parution	25/01/2005
Nb. de pages	674
Format	18 x 25,5
Couverture	Relié
Poids	1515g
Intérieur	Noir et Blanc
EAN13	9780521802628
ISBN13	978-0-521-80262-8