本书完整系统地介绍了量子标度理论的知识。本书内容深入浅出，层次分明，参考文献丰富。它既可作一般有兴趣的读者了解该领域的入门读物，也可用做大专院校的教材，或供大学高年级学生和研究生自学使用，对相关领域的研究人员也有很大的参考价值。

此书为英文版。

This is a book on quantum phase transitions (QFT), a new and exciting subject. Here we concentrate on these transitions which occur in strongly correlated electronic systems. The scaling theory of quantum critical phenomena, which is presented already in the first chapter, provides a unifying view of the quite different physical phenomena treated here as, metalinsulator instabilities and heavy fermion behavior.

Preface

Chapter1 Scaling Theory of Quantum Critical Phenomena

1.1 Quantum Phase Transitions

1.2 Renormalization Group and Scaling Relations

1.3 The Critical Exponents

1.4 Scaling Properties Close to a Zero Temperature Fixed Point

1.5 Extension to Finite Temperatures

Chapter2 Landau and Geussian Theories

2.1 Introduction

2.2 Landau Theory of Phase Transitions

2.3 Gaussian Approximation

2.4 Gaussian Approximation

2.5 Goldstone Mode

Chapter3 Renormalization Group:the c-expansion

3.1 The Landau-Wilson Functional

3.2 The Renormalization Group

Chapter4 Quantum Phase Transitions

4.1 Effective Action for a Nearly Ferromagnetic Metal

4.2 The Quantum Paramagnetic-to-Ferromagnetic Transition

4.3 Extension to Finite Temperatures

4.4 Effective A ction Close to a Spin Density Wave Instability

4.5 Gaussian Effective Actions

4.6 Field-Dependent Free Energy

Chapter5 Real Space Renormalization Group Approach

5.1 Introduction

5.2 The Ising Model in a Transverse Field

5.3 Conclusion

Chapter6 Heaavy Fermions

6.1 Introduction

6.2 Scaling Analysis

6.3 Conclusions

Chapter7 A Microscopic Model for Heavy Fermions

7.1 Introduction

7.2 Susceptibility and Wilson Ratio

7.3 Resistivity and Kadowaki-Woods Ratio

7.4 Critical Regime

7.5 Local Regime and One-Parameter Scling

……

Chapter8 Metal-Insulator Transitions

Chapter9 Density-Driven Metal-Insulator Transitions

Chapter10 Mott Transitions

Chapter11 The Non-Linear Sigma Model

Chapter12 Fluctuation-Induced Quantum Phase

Bibliography

Index