Quantum Theory of the Optical and Electronic Properties of Semiconductors (5th Edition) / Edition 5

Quantum Theory of the Optical and Electronic Properties of Semiconductors (5th Edition) / Edition 5

5.0 1
by Hartmut Haug, Stephan W Koch
     
 

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ISBN-10: 981283883X

ISBN-13: 9789812838834

Pub. Date: 06/28/2009

Publisher: World Scientific Publishing Company, Incorporated

This invaluable textbook presents the basic elements needed to understand and research into semiconductor physics. It deals with elementary excitations in bulk and low-dimensional semiconductors, including quantum wells, quantum wires and quantum dots. The basic principles underlying optical nonlinearities are developed, including excitonic and many-body plasma

Overview

This invaluable textbook presents the basic elements needed to understand and research into semiconductor physics. It deals with elementary excitations in bulk and low-dimensional semiconductors, including quantum wells, quantum wires and quantum dots. The basic principles underlying optical nonlinearities are developed, including excitonic and many-body plasma effects. Fundamentals of optical bistability, semiconductor lasers, femtosecond excitation, the optical Stark effect, the semiconductor photon echo, magneto-optic effects, as well as bulk and quantum-confined Franz-Keldysh effects, are covered. The material is presented in sufficient detail for graduate students and researchers with a general background in quantum mechanics.This fifth edition includes an additional chapter on 'Quantum Optical Effects' where the theory of quantum optical effects in semiconductors is detailed. Besides deriving the 'semiconductor luminescence equations' and the expression for the stationary luminescence spectrum, results are presented to show the importance of Coulombic effects on the semiconductor luminescence and to elucidate the role of excitonic populations.

Product Details

ISBN-13:
9789812838834
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
06/28/2009
Pages:
469
Product dimensions:
6.10(w) x 9.10(h) x 1.00(d)

Table of Contents

Preface v

1 Oscillator Model 1

1.1 Optical Susceptibility 2

1.2 Absorption and Refraction 6

1.3 Retarded Green's Function 12

2 Atoms in a Classical Light Field 17

2.1 Atomic Optical Susceptibility 17

2.2 Oscillator Strength 21

2.3 Optical Stark Shift 23

3 Periodic Lattice of Atoms 29

3.1 Reciprocal Lattice, Bloch Theorem 29

3.2 Tight-Binding Approximation 36

3.3 k.p Theory 41

3.4 Degenerate Valence Bands 45

4 Mesoscopic Semiconductor Structures 53

4.1 Envelope Function Approximation 54

4.2 Conduction Band Electrons in Quantum Wells 56

4.3 Degenerate Hole Bands in Quantum Wells 60

5 Free Carrier Transitions 65

5.1 Optical Dipole Transitions 65

5.2 Kinetics of Optical Interband Transitions 69

5.2.1 Quasi-D-Dimensional Semiconductors 70

5.2.2 Quantum Confined Semiconductors with Subband Structure 72

5.3 Coherent Regime: Optical Bloch Equations 74

5.4 Quasi-Equilibrium Regime: Free Carrier Absorption 78

6 Ideal Quantum Gases 89

6.1 Ideal Fermi Gas 90

6.1.1 Ideal Fermi Gas in Three Dimensions 93

6.1.2 Ideal Fermi Gas in Two Dimensions 97

6.2 Ideal Bose Gas 97

6.2.1 Ideal Bose Gas in Three Dimensions 99

6.2.2 Ideal Bose Gas in Two Dimensions 101

6.3 Ideal Quantum Gases in D Dimensions 101

7 Interacting Electron Gas 107

7.1 The Electron Gas Hamiltonian 107

7.2 Three-Dimensional Electron Gas 113

7.3 Two-Dimensional Electron Gas 119

7.4 Multi-Subband Quantum Wells 122

7.5 Quasi-One-Dimensional Electron Gas 123

8 Plasmons and Plasma Screening 129

8.1 Plasmons and Pair Excitations 129

8.2 Plasma Screening 137

8.3 Analysis of the Lindhard Formula 140

8.3.1 Three Dimensions 140

8.3.2 Two Dimensions143

8.3.3 One Dimensions 145

8.4 Plasmon-Pole Approximation 146

9 Retarded Green's Function for Electrons 149

9.1 Definitions 149

9.2 Interacting Electron Gas 152

9.3 Screened Hartree-Fock Approximation 156

10 Excitons 163

10.1 The Interband Polarization 164

10.2 Wannier Equation 169

10.3 Excitons 173

10.3.1 Three- and Two-Dimensional Cases 174

10.3.2 Quasi-One-Dimensional Case 179

10.4 The Ionization Continuum 181

10.4.1 Three- and Two-Dimensional Cases 181

10.4.2 Quasi-One-Dimensional Case 183

10.5 Optical Spectra 184

10.5.1 Three- and Two-Dimensional Cases 186

10.5.2 Quasi-One-Dimensional Case 189

11 Polaritons 193

11.1 Dielectric Theory of Polaritons 193

11.1.1 Polaritions without Spatial Dispersion and Damping 195

11.1.2 Polaritons with Spatial Dispersion and Damping 197

11.2 Hamiltonian Theory of Polaritons 199

11.3 Microcavity Polaritons 206

12 Semiconductor Bloch Equations 211

12.1 Hamiltonian Equations 211

12.2 Multi-Subband Microstructures 219

12.3 Scattering Terms 221

12.3.1 Intraband Relaxation 226

12.3.2 Dephasing of the Interband Polarization 230

12.3.3 Full Mean-Field Evolution of the Phonon-Assisted Density Matrices 231

13 Excitonic Optical Stark Effect 235

13.1 Quasi-Stationary Results 237

13.2 Dynamic Results 246

13.3 Correlation Effects 255

14 Wave-Mixing Spectroscopy 269

14.1 Thin Samples 271

14.2 Semiconductor Photon Echo 275

15 Optical Properties of a Quasi-Equilibrium Electron-Hole Plasma 283

15.1 Numerical Matrix Inversion 287

15.2 High-Density Approximations 293

15.3 Effective Pair-Equation Approximation 296

15.3.1 Bound states 299

15.3.2 Continuum states 300

15.3.3 Optical spectra 300

16 Optical Bistability 305

16.1 The Light Field Equation 306

16.2 The Carrier Equation 309

16.3 Bistability in Semiconductor Resonators 311

16.4 Intrinsic Optical Bistability 316

17 Semiconductor Laser 321

17.1 Material Equations 322

17.2 Field Equations 324

17.3 Quantum Mechanical Langevin Equations 328

17.4 Stochastic Laser Theory 335

17.5 Nonlinear Dynamics with Delayed Feedback 340

18 Electroabsorption 349

18.1 Bulk Semiconductors 349

18.2 Quantum Wells 355

18.3 Exciton Electroabsorption 360

18.3.1 Bulk Semiconductors 360

18.3.2 Quantum Wells 368

19 Magneto-Optics 371

19.1 Single Electron in a Magnetic Field 372

19.2 Bloch Equations for a Magneto-Plasma 375

19.3 Magneto-Luminescence of Quantum Wires 378

20 Quantum Dots 383

20.1 Effective Mass Approximation 383

20.2 Single Particle Properties 386

20.3 Pair States 388

20.4 Dipole Transitions 392

20.5 Bloch Equations 395

20.6 Optical Spectra 396

21 Coulomb Quantum Kinetics 401

21.1 General Formulation 402

21.2 Second Born Approximation 408

21.3 Build-Up of Screening 413

22 Quantum Optical Effects 421

22.1 Quantum Optics for Semiconductors 421

22.2 Cluster Expansion 424

22.2.1 Cluster Expansion for Fermions 424

22.2.2 Quantum Optical Cluster Expansion 428

22.3 Semiconductor Luminescence Equations 429

22.4 Quasi-Stationary Luminescence 432

Appendix A Field Quantization 437

A.1 Lagrange Functional 437

A.2 Canonical Momentum and Hamilton Function 442

A.3 Quantization of the Fields 444

Appendix B Contour-Ordered Green's Functions 451

B.1 Interaction Representation 452

B.2 Langreth Theorem 455

B.3 Equilibrium Electron-Phonon Self-Energy 458

Index 461

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Quantum Theory of the Optical and Electronic Properties of Semiconductors (3rd Edition) 5 out of 5 based on 0 ratings. 1 reviews.
BenOH More than 1 year ago
This book is very clearly written, and is an excellent introduction to the optical and electronic properties of semiconductors. The authors are experts on optical properties, so the book has more emphasis of that. General electronic properties are also discussed but not as much in depth as the electronic properties. The book also has a short introduction to non-equilibrium Green's functions.