Quantum Theory of the Electron Liquid
Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.
- Up-to-date discussion of quantum Monte Carlo results, large number of appendices and tables that make this book comprehensive and self-contained
- Many end of chapter problems that illustrate key concepts and extend the discussion
- Much new research material that has never before appeared in book form
Reviews & endorsements
"Quantum Theory of the Electron Liquid is a veritable encyclopedia of a field that continuously rejuvenates itself with fresh physics discoveries and novel materials. Nothing escapes the attention of authors Gabriele F. Giuliani and Giovanni Vignale, who seem to cover the gamut. The book, unquestionably attractive to the more experienced reader, is accessible and designed to be comprehensible to graduate students in condensed matter theory. The reader is guided effectively through a larger body of knowledge that the condensed matter community has produced over the course of 70 years. Quantum Theory of the Electron Liquid is enriched with 25 mathematical appendices elaborating on technical details. The appendices, coupled with the many exercises at the end of each chapter, make the book an unparalleled reference. Every graduate student and researcher studying condensed matter theory should obtain a copy of this exceptional text."
Erio Tosatti, Physics Today
Product details
June 2008Paperback
9780521527965
800 pages
245 × 172 × 40 mm
1.26kg
207 b/w illus. 40 tables 165 exercises
Available
Table of Contents
- 1. Introduction to the electron liquid
- 2. The Hartree-Fock approximation
- 3. Linear response theory
- 4. Linear response of independent electrons
- 5. Linear response of an interacting electron liquid
- 6. The perturbative calculation of linear response functions
- 7. Density functional theory
- 8. The normal Fermi liquid
- 9. The one-dimensional electron gas and the Luttinger liquid
- 10. The two-dimensional electron gas at high magnetic field.