Near-Equilibrium Transport: Fundamentals and Applications

Near-Equilibrium Transport: Fundamentals and Applications

by Mark S Lundstrom, Changwook Jeong

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Product Details

ISBN-13: 9789814355803
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 11/28/2012
Series: Lessons From Nanoscience: A Lecture Notes Series
Pages: 310
Product dimensions: 6.00(w) x 8.90(h) x 0.70(d)

Table of Contents

Preface vii

Acknowledgments ix

List of Figures xv

1 Overview 1

1.1 Introduction 1

1.2 Diffusive electron transport 2

1.3 Types of electron transport 4

1.4 Why study near-equilibrium transport? 6

1.5 About these lectures 6

1.6 Summary 9

1.7 References 9

2 General Model for Transport 13

2.1 Introduction 13

2.2 Mathematical model 15

2.3 Modes 18

2.4 Transmission 23

2.5 Near-equilibrium (linear) transport 26

2.6 Transport in the bulk 27

2.7 Summary 31

2.8 References 31

3 Resistance: Ballistic to Diffusive 33

3.1 Introduction 33

3.2 2D resistors: ballistic 35

3.3 2D resistors: diffusive to ballistic 41

3.4 Discussion 44

3.5 Summary 55

3.6 References 56

4 Thermoelectric Effects: Physical Approach 59

4.1 Introduction 59

4.2 Electric current flow: Seebeck effect 61

4.3 Heat current flow: Peltier effect 66

4.4 Coupled flows 70

4.5 Thermoelectric devices 73

4.6 Discussion 77

4.7 Summary 80

4.8 References 81

5 Thermoelectric Effects: Mathematics 83

5.1 Introduction 83

5.2 Driving forces for current flow 84

5.3 Charge current 85

5.4 Heat current 87

5.5 Discussion 89

5.6 Summary 102

5.7 References 102

6 An Introduction to Scattering 105

6.1 Introduction 105

6.2 Physics of carrier scattering 106

6.3 Transmission and mean-free-path 110

6.4 Mean-free-path and scattering 112

6.5 Discussion 114

6.6 Summary 120

6.7 References 120

7 Boltzmann Transport Equation 123

7.1 Introduction 123

7.2 The Boltzmann Transport Equation 124

7.3 Solving the steady-state BTE 127

7.4 Transport coefficients 129

7.5 Magnetic fields 134

7.6 Discussion 140

7.7 Summary 141

7.8 References 142

8 Near-equilibrium Transport: Measurements 143

8.1 Introduction 143

8.2 Resistivity/conductivity measurements 146

8.3 Hall effect measurements 148

8.4 The van der Pauw method 151

8.5 Temperature-dependent measurements 155

8.6 Discussion 158

8.7 Summary 165

8.8 References 165

9 Phonon Transport 169

9.1 Introduction 169

9.2 Electrons and phonons 170

9.3 General model for heat conduction 175

9.4 Thermal conductivity 178

9.5 Debye model for Mph(hω) 182

9.6 Phonon scattering 184

9.7 Discussion 187

9.8 Summary 189

9.9 References 190

10 Graphene: A Case Study 193

10.1 Introduction 193

10.2 Graphene 194

10.3 Density-of-states and carrier density 197

10.4 Number of modes and conductance 198

10.5 Scattering 199

10.6 Conductance vs. carrier density 202

10.7 Discussion 205

10.8 Summary 209

10.9 References 209

Appendix A Summary of Key Results 211

Index 223

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