The One-Dimensional Hubbard Model

The One-Dimensional Hubbard Model

by Fabian H. L. Essler, Holger Frahm, Frank Gohmann, Andreas Klumper
     
 

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ISBN-10: 0521802628

ISBN-13: 9780521802628

Pub. Date: 02/07/2005

Publisher: Cambridge University Press

This book presents a self-contained account of the exact solution of the Hubbard model in one dimension. The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents. It is impossible to solve the corresponding many-body problems, although insight can be gained from analysis of simplified models. An

Overview

This book presents a self-contained account of the exact solution of the Hubbard model in one dimension. The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents. It is impossible to solve the corresponding many-body problems, although insight can be gained from 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 a diverse range of problems.

Product Details

ISBN-13:
9780521802628
Publisher:
Cambridge University Press
Publication date:
02/07/2005
Pages:
690
Product dimensions:
6.85(w) x 9.72(h) x 1.81(d)

Table of Contents

Preface; 1. Introduction; 2. The Hubbard Hamiltonian and its symmetries; 3. The Bethe ansatz solution; 4. String hypothesis; 5. Thermodynamics in the Yang-Yang approach; 6. Ground state properties in the thermodynamic limit; 7. Excited states at zero temperature; 8. Finite size corrections at zero temperature; 9. Asymptotics of correlation functions; 10. Scaling and continuum limits at half-filling; 11. Universal correlations at low density; 12. The algebraic approach to the Hubbard model; 13. The path integral approach to thermodynamics; 14. The Yangian symmetry of the Hubbard model; 15. S-matrix and Yangian symmetry in the infinite interval limit; 16. Hubbard model in the attractive case; 17. Mathematical appendices; References; Index.

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