Quantum Field Theory in Strongly Correlated Electronic Systems

✍ Scribed by Naoto Nagaosa

• Publisher: Springer
• Year: 2010
• Tongue: English
• Leaves: 179
• Category: Library

✦ Synopsis

In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.

✦ Table of Contents

Preface
Table of Contents
1. The One-Dimensional Quantum Spin Chain
1.1 The S=1/2 XXZ Spin Chain
1.2 The Jordan-Wigner Transformation and the Quantum Kink
1.3 The Bethe Ansatz and the Exact Solution
2. Quantum Field Theory in 1+1 Dimensions
2.1 Bosonization
2.2 Conformal Field Theory
2.3 The Non-Linear Sigma Model: Effective Theory of Quantum Anti-ferromagnets
3. Strongly Correlated Electronic Systems
3.1 Models of Strongly Correlated Electronic Systems
3.2 Spin-Charge Separation in One Dimension
3.3 Magnetic Ordering in Strongly Correlated Electronic Systems
3.4 Self-Consistent Renormalization Theory and Quantum Critical Phenomena
4. Local Electron Correlation
4.1 The Kondo Effect
4.2 Dynamical Mean Field Theory
5. Gauge Theory of Strongly Correlated Electronic Systems
5.1 Gauge Theory of Quantum Anti-ferromagnets
5.2 Gauge Theory of the Doped Mott Insulator
5.3 Gauge Theory of QH Liquids
Appendix
A. Complex Functions
A.1 Projection from the z-Plane to the w-Plane
A.2 Contour Integral of f(z) Around the Path C
B. The Variational Principle and the Energy-Momentum Tensor
L iterature
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Index