Book contents
- Frontmatter
- Contents
- Preface to the second edition
- Preface to the first edition
- 1 Introduction
- 2 The Hubbard model
- 3 The magnetic instability of the Fermi system
- 4 The renormalization group and scaling
- 5 One-dimensional quantum antiferromagnets
- 6 The Luttinger liquid
- 7 Sigma models and topological terms
- 8 Spin-liquid states
- 9 Gauge theory, dimer models, and topological phases
- 10 Chiral spin states and anyons
- 11 Anyon superconductivity
- 12 Topology and the quantum Hall effect
- 13 The fractional quantum Hall effect
- 14 Topological fluids
- 15 Physics at the edge
- 16 Topological insulators
- 17 Quantum entanglement
- References
- Index
Preface to the first edition
Published online by Cambridge University Press: 05 March 2013
- Frontmatter
- Contents
- Preface to the second edition
- Preface to the first edition
- 1 Introduction
- 2 The Hubbard model
- 3 The magnetic instability of the Fermi system
- 4 The renormalization group and scaling
- 5 One-dimensional quantum antiferromagnets
- 6 The Luttinger liquid
- 7 Sigma models and topological terms
- 8 Spin-liquid states
- 9 Gauge theory, dimer models, and topological phases
- 10 Chiral spin states and anyons
- 11 Anyon superconductivity
- 12 Topology and the quantum Hall effect
- 13 The fractional quantum Hall effect
- 14 Topological fluids
- 15 Physics at the edge
- 16 Topological insulators
- 17 Quantum entanglement
- References
- Index
Summary
Preface to the first edition
This volume is an outgrowth of the course “Physics of Strongly Correlated Systems” which I taught at the University of Illinois at Urbana-Champaign during the Fall of 1989. The goal of my course was to present the field-theoretic picture of the most interesting problems in Condensed Matter Physics, in particular those relevant to high-temperature superconductors. The content of the first six chapters is roughly what I covered in that class. The remaining four chapters were developed after January 1, 1990. Thus, that material is largely the culprit for this book being one year late! During 1990 I had to constantly struggle between finalizing the book and doing research that I just could not pass on. The result is that the book is one year late and I was late on every single paper that I thought was important! Thus, I have to agree with the opinion voiced so many times by other people who made the same mistake I did and say, don’t ever write a book! Nevertheless, although the experience had its moments of satisfaction, none was like today’s when I am finally done with it.
This book exists because of the physics I learned from so many people, but it is only a pale reflection of what I learned from them. I must thank my colleague Michael Stone, from whom I have learned so much. I am also indebted to Steven Kivelson, Fidel Schaposnik, and Xiao-Gang Wen, who not only informed me on many of the subjects which are discussed here but, also, more importantly, did not get too angry with me for not writing the papers I still owe them.
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- Information
- Field Theories of Condensed Matter Physics , pp. xv - xviPublisher: Cambridge University PressPrint publication year: 2013