Electrons in Solids

Part I The Quantum Hall Effect

Chapter 1 The normal Hall effect

1.1 Introduction

1.2 Basic physics of the Hall effect

1.3 The Hall effect and holes

1.4 The effective mass tensor

1.5 Applications of the Hall effect

References and suggestions for further reading

Chapter 2 The integer quantum Hall effect

2.1 Introduction

2.2: Discovery of the integer quantum Hall effect

References and suggestions for further reading

Chapter 3 High magnetic field technology

3.1 Introduction

3.2 Solenoids

3.3 Magnetic core electromagnets

3.4 Superconducting magnets

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3.5 Bitter solenoids

References and suggestions for further reading

Chapter 4 Integer quantum Hall effect theory

4.1 Introduction

4.2 Quantum harmonic oscillator

4.3 Landau levels

4.4 Landau level degeneracy

4.5 Lifting of the Landau level degeneracy

4.6 Explanation of the plateaus

References and suggestions for further reading

Chapter 5 The fractional quantum Hall effect

5.1 Introduction

5.2 Discovery of the fractional quantum Hall effect

5.3 Theory of the fractional quantum Hall effect

References and suggestions for further reading

Chapter 6 Applications of the quantum Hall effect

6.1 Introduction

6.2 The resistance standard

6.3 Relationship of the quantum Hall effect to physical constants

References and suggestions for further reading

Part II Superconductivity

Chapter 7 Superconductivity and magnetism

7.1 Introduction

7.2 The discovery of superconductivity

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7.3 The effect of magnetic fields on superconductors

7.4 Diamagnetism and the Meissner effect

References and suggestions for further reading

Chapter 8 Other properties of superconductors

8.1 Introduction

8.2 The London penetration depth

8.3 Flux quantization

8.4 The isotope effect

8.5 Specific heat

References and suggestions for further reading

Chapter 9 BCS theory

9.1 Introduction

9.2 Cooper pair formation

9.3 The superconducting energy gap

9.4 The coherence length

References and suggestions for further reading

Chapter 10 High temperature superconductivity

10.1 Introduction

10.2 The discovery of high temperature superconductors

10.3 Properties of high temperature superconductors

10.4 The theory of high temperature superconductivity

References and suggestions for further reading

Chapter 11 The Josephson effect

11.1 Introduction

11.2 The Josephson effect

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References and suggestions for further reading

Chapter 12 Superconductor applications

12.1 Introduction

12.2 Power transmission

12.3 Particle physics

12.4 Fusion research

12.5 SQUIDs

References and suggestions for further reading