Electronic and Optical Properties of Semiconductors: A Study Based on the Empirical Tight Binding Model Book

	Abstract	ii
	Acknowledgments	iv
	List of Figures	ix
	List of Tables	xi
I	Empirical Tight Binding Model of Electronic States	xiv
Chapter 1.	General Formalism	1
1.1	One-Band Model	2
1.2	Multiband Model	6
1.3	Treatment of Symmetry	9
1.3.1	Hermiticity	9
1.3.2	Inversion	9
1.3.3	Point symmetry	10
1.4	Spin-Orbit Coupling	10
1.5	Nonorthogonal Model	13
Chapter 2.	Bulk Hamiltonians	17
2.1	Zincblende	17
2.1.1	Spin-free case	17
2.1.2	Spin-orbit interaction	25
2.2	Diamond	30
2.3	Rocksalt	31
2.3.1	Spin-free case	32
2.3.2	Spin-orbit interaction	35
2.4	Strained Hamiltonian	36
2.5	Random Alloys	40
Chapter 3.	Superlattice Hamiltonians	42
3.1	[001] Zincblende	44
3.2	[110] Zincblende	47
3.3	[111] Zincblende	50
3.4	[001] Rocksalt	52
3.5	[110] Rocksalt	54
3.6	[111] Rocksalt	56
3.7	Special Cases of the Superlattice Matrix	56
3.8	Strained Superlattice	58
3.8.1	Biaxial strain tensor	59
3.8.2	Uniaxial strain	62
3.8.3	Internal displacement	63
II	Applications	65
Chapter 4.	Band Parameters	66
4.1	Energies	66
4.1.1	Zincblende	67
4.1.2	Diamond	69
4.1.3	Rocksalt	72
4.2	Group Velocity	72
4.3	Deformation Potentials	75
4.4	Tight Binding Parameters	80
Chapter 5.	Intervalley Scattering	92
5.1	Tight Binding Deformation Potential Theory	94
5.2	Results	97
5.2.1	GaAs: D[subscript [Gamma]X], D[subscript [Gamma]L]	97
5.2.2	Effect of hydrostatic pressure	98
5.2.3	Si[subscript x]Ge[subscript 1-x]	100
5.3	Summary	100
Chapter 6.	Optical Matrix Elements	102
6.1	Previous Approaches	103
6.2	Theory and Discussions	105
6.3	Applications	113
6.3.1	Bulk semiconductors	113
6.3.2	Heterostructures	124
6.4	Summary	129
Chapter 7.	Heterostructure Physics	135
7.1	HgCdTe System	136
7.2	Wave Function Localization	140
7.2.1	Theoretical model	141
7.2.2	Results	142
7.2.3	Summary	145
7.3	GX Laser	151
7.3.1	Design considerations	152
7.3.2	Calculations	154
7.3.3	Summary	155
Chapter 8.	Second-Order Nonlinear Optical Processes	158
8.1	Theory of [chi][superscript (2)]	160
8.1.1	Bulk second-harmonic generation	166
8.1.2	QW [chi][superscript (2)]	167
8.2	Results	170
8.2.1	Bulk [chi][superscript (2)](0)	170
8.2.2	Asymmetric GaAs/AlGaAs QW	172
	Appendices
Appendix A.	Crystal Structures	176
A.1	Zincblende	176
A.1.1	Point group	179
A.1.2	Irreducible representations	179
A.2	Diamond	179
A.3	Rocksalt	180
A.3.1	Point group	182
A.3.2	Irreducible representations	182
Appendix B.	Two-Center Approximation	190
B.1	Cubic and Spherical Harmonics	191
B.2	Two-Center Approximation	193
Appendix C.	Hamiltonians	197
C.1	Zincblende	197
C.2	Rocksalt	207
C.3	Hamiltonian in JM Basis	214
C.4	Superlattice	217
C.4.1	Zincblende-based SL	217
C.4.2	Rocksalt-based SL	223
Appendix D.	Crystal Elasticity	229
	Bibliography	232