Quantum Theory of the Optical and Electronic Properties of Semiconductors

by Haug, Hartmut; Koch, Stephan W.

• ISBN13: 9789812387561
• ISBN10: 9812387560
• Edition: 4th
• Format: Paperback
• Copyright: 2004-04-01
• Publisher: World Scientific Pub Co Inc

Author Biography

Hartmut Haug joined the Institute of Theoretical Physics of the University of Frankfurt, where he was a full professor from 1975 to 2001 and currently is an emeritus Stephan W. Koch in the fall of 1993, he joined the Philipps-University of Marburg where he is a full professor of Theoretical Physics

Table of Contents

Preface	v
1. Oscillator Model	1	(16)
1.1 Optical Susceptibility	2	(4)
1.2 Absorption and Refraction	6	(6)
1.3 Retarded Green's Function	12	(5)
2. Atoms in a Classical Light Field	17	(12)
2.1 Atomic Optical Susceptibility	17	(4)
2.2 Oscillator Strength	21	(2)
2.3 Optical Stark Shift	23	(6)
3. Periodic Lattice of Atoms	29	(24)
3.1 Reciprocal Lattice, Bloch Theorem	29	(7)
3.2 Tight-Binding Approximation	36	(5)
3.3 k•p Theory	41	(4)
3.4 Degenerate Valence Bands	45	(8)
4. Mesoscopic Semiconductor Structures	53	(12)
4.1 Envelope Function Approximation	54	(2)
4.2 Conduction Band Electrons in Quantum Wells	56	(4)
4.3 Degenerate Hole Bands in Quantum Wells	60	(5)
5. Free Carrier Transitions	65	(24)
5.1 Optical Dipole Transitions	65	(4)
5.2 Kinetics of Optical Interband Transitions	69	(5)
5.2.1 Quasi-D-Dimensional Semiconductors	70	(2)
5.2.2 Quantum Confined Semiconductors with Subband Structure	72	(2)
5.3 Coherent Regime: Optical Bloch Equations	74	(4)
5.4 Quasi-Equilibrium Regime: Free Carrier Absorption	78	(11)
6. Ideal Quantum Gases	89	(18)
6.1 Ideal Fermi Gas	90	(7)
6.1.1 Ideal Fermi Gas in Three Dimensions	93	(4)
6.1.2 Ideal Fermi Gas in Two Dimensions	97	(1)
6.2 Ideal Bose Gas	97	(4)
6.2.1 Ideal Bose Gas in Three Dimensions	99	(2)
6.2.2 Ideal Bose Gas in Two Dimensions	101	(1)
6.3 Ideal Quantum Gases in D Dimensions	101	(6)
7. Interacting Electron Gas	107	(22)
7.1 The Electron Gas Hamiltonian	107	(6)
7.2 Three-Dimensional Electron Gas	113	(6)
7.3 Two-Dimensional Electron Gas	119	(3)
7.4 Multi-Subband Quantum Wells	122	(1)
7.5 Quasi-One-Dimensional Electron Gas	123	(6)
8. Plasmoris and Plasma Screening	129	(20)
8.1 Plasmons and Pair Excitations	129	(8)
8.2 Plasma Screening	137	(3)
8.3 Analysis of the Lindhard Formula	140	(6)
8.3.1 Three Dimensions	140	(3)
8.3.2 Two Dimensions	143	(2)
8.3.3 One Dimension	145	(1)
8.4 Plasmon-Pole Approximation	146	(3)
9. Retarded Green's Function for Electrons	149	(14)
9.1 Definitions	149	(3)
9.2 Interacting Electron Gas	152	(4)
9.3 Screened Hartrec-Fock Approximation	156	(7)
10. Excitons	163	(30)
10.1 The Interband Polarization	164	(5)
10.2 Wannier Equation	169	(4)
10.3 Excitons	173	(1)
10.3.1 Three- and Two-Dimensional Cases	174	(1)
10.3.2 Quasi-One-Dimensional Case	179	(2)
10.4 The Ionization Continuum	181	(1)
10.4.1 Three- and Two-Dimensional Cases	181	(1)
10.4.2 Quasi-One-Dimensional Case	183	(1)
10.5 Optical Spectra	184	(1)
10.5.1 Three- and Two-Dimensional Cases	186	(1)
10.5.2 Quasi-One-Dimensional Case	189	(4)
11. Polaritons	193	(18)
11.1 Dielectric Theory of Polaritons	193	(1)
11.1.1 Polaritons without Spatial Dispersion and Damping	195	(1)
11.1.2 Polaritons with Spatial Dispersion and Damping	197	(2)
11.2 Hamiltonian Theory of Polaritons	199	(7)
11.3 Microcavity Polaritons	206	(5)
12. Semiconductor Bloch Equations	211	(24)
12.1 Hamiltonian Equations	211	(8)
12.2 Multi-Subband Microstructures	219	(2)
12.3 Scattering Terms	221	(1)
12.3.1 Intraband Relaxation	226	(1)
12.3.2 Dephasing of the Interband Polarization	230	(1)
12.3.3 Full Mean-Field Evolution of the Phonon-Assisted Density Matrices	231	(4)
13. Excitonic Optical Stark Effect	235	(34)
13.1 Quasi-Stationary Results	237	(9)
13.2 Dynamic Results	246	(9)
13.3 Correlation Effects	255	(14)
14. Wave-Mixing Spectroscopy	269	(14)
14.1 Thin Samples	271	(4)
14.2 Semiconductor Photon Echo	275	(8)
15. Optical Properties of a Quasi-Equilibrium Electron-Hole Plasma	283	(22)
15.1 Numerical Matrix Inversion	287	(6)
15.2 High-Density Approximations	293	(3)
15.3 Effective Pair-Equation Approximation	296	(1)
15.3.1 Bound States	299	(1)
15.3.2 Continuum States	300	(1)
15.3.3 Optical Spectra	300	(5)
16. Optical Bistability	305	(16)
16.1 The Light Field Equation	306	(3)
16.2 The Carrier Equation	309	(2)
16.3 Bistability in Semiconductor Resonators	311	(5)
16.4 Intrinsic Optical Bistability	316	(5)
17. Semiconductor Laser	321	(28)
17.1 Material Equations	322	(2)
17.2 Field Equations	324	(4)
17.3 Quantum Mechanical Langevin Equations	328	(7)
17.4 Stochastic Laser Theory	335	(5)
17.5 Nonlinear Dynamics with Delayed Feedback	340	(9)
18. Electroabsorption	349	(22)
18.1 Bulk Semiconductors	349	(6)
18.2 Quantum Wells	355	(5)
18.3 Exciton Electroabsorption	360	(1)
18.3.1 Bulk Semiconductors	360	(1)
18.3.2 Quantum Wells	368	(3)
19. Magneto-Optics	371	(12)
19.1 Single Electron in a Magnetic Field	372	(3)
19.2 Bloch Equations for a Magneto-Plasma	375	(3)
19.3 Magneto-Lurniriescence of Quantum Wires	378	(5)
20. Quantum Dots	383	(18)
20.1 Effective Mass Approximation	383	(3)
20.2 Single Particle Properties	386	(2)
20.3 Pair States	388	(4)
20.4 Dipole Transitions	392	(3)
20.5 Bloch Equations	395	(1)
20.6 Optical Spectra	396	(5)
21. Coulomb Quantum Kinetics	401	(20)
21.1 General Formulation	402	(6)
21.2 Second Born Approximation	408	(5)
21.3 Build-Up of Screening	413	(8)
Appendix A Field Quantization	421	(14)
A.1 Lagrange Functional	421	(5)
A.2 Canonical Momentum and Hamilton Function	426	(2)
A.3 Quantization of the Fields	428	(7)
Appendix B Contour-Ordered Green's Functions	435	(10)
13.1 Interaction Representation	436	(3)
13.2 Langreth Theorem	439	(3)
13.3 Equilibrium Electron-Phonon Self-Energy	442	(3)
Index	445