The One-Dimensional Hubbard Model
Published on 7. February 2005
Book
Hardback
692 pages
978-0-521-80262-8 (ISBN)
Description
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 topical results in the field of integrable models.
Reviews / Votes
"The joint expertise of the authors on the subject is formidable. The influence of their intimate familiarity with the material is visible throughout the book. The bibliography is extensive and will be a useful tool for those interested in the original publications. Short of asking an expert, there is no better way to access the huge body of work accumulated over decades by a large number of authors. Every physics and chemistry library should have a copy of this book, and many individual researchers want to have a copy on their shelves, too."Bruno Nachtergaele, University of California, Davis, SIAM Review
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 41 mm
Weight
1353 gr
ISBN-13
978-0-521-80262-8 (9780521802628)
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Schweitzer Classification
Other editions
Additional editions
Fabian H. L. Essler | Holger Frahm | Frank Goehmann
The One-Dimensional Hubbard Model
E-Book
05/2005
1st Edition
Cambridge University Press
€67.99
Available for download
Persons
Content
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.