Physics of Semiconductors in High Magnetic Fields

by Miura, Noboru

• ISBN13: 9780198517566
• ISBN10: 0198517564
• Format: Hardcover
• Copyright: 2007-11-24
• Publisher: Oxford University Press

Summary

This book describes the basic concepts of various physical phenomena in semiconductors and their modulated structures under high magnetic fields. The topic cover magneto-transport phenomena, cyclotron resonance, far-infrared spectroscopy, magneto-optical spectroscopy, diluted magnetic semiconductors in high magnetic fields, as well as the recent advances in the experimental techniques needed for high field experiments. Starting from the introductory part describing the basic theoretical background, each chapter introduces typical experimental data which were actually obtained in very high magnetic fields mostly in the pulsed field range up to several megagauss (20-100T). The book has both the character of a textbook and a monograph. For researchers and students with an interest in semiconductor physics or in high magnetic fields, it will serve as a useful guide.

Author Biography

Professor Emeritus at the University of Tokyo

Table of Contents

Introduction	p. 1
Electronic states in high magnetic fields	p. 6
Free electrons in magnetic fields	p. 6
Landau levels	p. 11
Bloch electrons in magnetic fields	p. 17
Effective mass approximation	p. 17
Semiclassical treatment	p. 21
Landau levels in semiconductors	p. 22
Two-band model	p. 22
Conduction bands	p. 24
Valence bands	p. 26
Pidgeon-Brown model	p. 30
Low dimensional systems	p. 33
MOS-FET and heterostructure	p. 33
Quantum well	p. 36
Superlattice	p. 41
Quantum wire and quantum dot	p. 42
Electronic states in magnetic fields and electric fields	p. 43
Crossed magnetic and electric fields	p. 43
Edge states	p. 45
High magnetic field effects on Bloch electrons	p. 46
Breakdown of effective mass theory	p. 46
Magnetic breakdown	p. 51
Bound electron states in magnetic fields	p. 52
Donor states	p. 52
Exciton states	p. 59
Magneto-transport phenomena	p. 64
Magneto-transport in high magnetic fields	p. 64
Magneto-conductivity and magneto-resistance	p. 64
Effect of scattering	p. 67
Quantum theory of transport phenomena in high magnetic fields	p. 69
Shubnikov-de Haas effect	p. 71
Shubnikov-de Haas effect in bulk semiconductors and semimetals	p. 71
Shubnikov-de Haas effect in two-dimensional systems	p. 75
Quantum Hall effect	p. 78
Integer quantum Hall effect	p. 78
Fractional quantum Hall effect	p. 86
Measurement of quantum Hall effect in pulsed magnetic fields	p. 92
Magneto-tunneling phenomena	p. 94
Magneto-tunneling in tunnel diodes	p. 94
Magneto-tunneling for B [perpendicular, bottom] barrier layers	p. 96
Magneto-tunneling for B [parallel] barrier layers	p. 98
Chaotic behavior for tilted magnetic fields	p. 103
Magnetophonon resonance	p. 106
Magnetophonon resonance in bulk semiconductors	p. 106
Magnetophonon resonance in two-dimensional electron systems and superlattices	p. 113
Hot electron magenetophonon resonance	p. 116
Magnetophonon resonance in multi-valley semiconductors	p. 120
Angular dependent magneto-oscillation	p. 121
Cyclotron resonance and far-infrared spectroscopy	p. 125
Fundamentals of cyclotron resonance	p. 125
Observation of classical cyclotron resonance	p. 125
Quantum theory of cyclotron resonance	p. 128
Cyclotron resonance in anisotropic bands	p. 130
Cyclotron resonance in two-dimensional systems	p. 134
Impurity cyclotron resonance and impurity transition	p. 135
Non-parabolicity and spin splitting	p. 137
Cyclotron resonance in non-parabolic bands	p. 137
Spin-split cyclotron resonance	p. 139
Resonance line-width	p. 141
Spin relaxation	p. 144
Electron-electron interaction	p. 146
Kohn's theorem	p. 146
Mode coupling in spin-split cyclotron resonance	p. 147
Filling factor dependence of effective mass and line-width	p. 150
Polaron effects	p. 154
Temperature dependence of effective mass	p. 159
Spin resonance and combined resonance	p. 161
Structural phase transitions	p. 162
Cyclotron resonance in valence bands	p. 166
Hole cyclotron resonance in bulk crystals	p. 166
Hole cyclotron resonance in two-dimensional systems	p. 167
Unusual band structures and phenomena	p. 170
Camel's back structure	p. 170
Semiconducting diamond	p. 174
Graphite	p. 176
Bi[subscript 2]Se[subscript 3] family	p. 178
Interplay between magnetic and quantum potentials	p. 180
Short period superlattices with parallel magnetic fields	p. 180
Angular dependence of the effective mass in quantum wells	p. 182
Cyclotron resonance in quantum dots	p. 185
Magnetic field-induced band cross-over	p. 187
[Gamma]-L cross-over in GaSb	p. 187
[Gamma]-X cross-over in GaAs/AlAs superlattices	p. 189
Semimetal-semiconductor transition	p. 192
Magneto-plasma phenomena	p. 196
Magneto-plasma	p. 196
Helicon wave and Alfven wave	p. 200
Magneto-optical spectroscopy	p. 206
Interband magneto-optical transition	p. 206
Density of states and the absorption coefficient	p. 206
Magneto-absorption spectra	p. 208
Exciton spectra	p. 215
Exciton spectra in magnetic fields	p. 215
Dielectric constant	p. 217
Quasi-two-dimensional excitons in quantum wells	p. 218
Magneto-photoluminescence	p. 225
Magneto-optics of excitons in doped quantum wells	p. 226
Magneto-optical spectra in doped quantum wells	p. 226
Fermi edge singularity	p. 229
Anomalies at integer and fractional filling of the Landau levels	p. 231
Magneto-optical spectra of short-period superlattices	p. 233
[Gamma]-X cross-over for B [perpendicular, bottom] layers	p. 233
Photoluminescence in type II short-period superlattices and quantum wells	p. 238
Magneto-optics for B [parallel] layers	p. 241
Magneto-optics of quantum dots and quantum wires	p. 244
Quantum dots	p. 244
Quantum wires	p. 248
Magneto-optics of layered semiconductors	p. 252
GaSe	p. 252
PbI[subscript 2]	p. 255
BiI[subscript 3]	p. 262
(C[subscript 6]H[subscript 13]NH[subscript 3])[subscript 2]PbI[subscript 4]	p. 263
Faraday rotation	p. 265
Principle of Faraday rotation	p. 265
Interband Faraday rotation	p. 268
Diluted magnetic semiconductors	p. 272
Diluted magnetic semiconductors in high magnetic fields	p. 272
Diluted magnetic semiconductors	p. 272
Energy levels in the conduction band and the valence band	p. 273
Giant Faraday rotation	p. 274
Faraday rotation in diluted magnetic semiconductors	p. 274
Exciton spectra in diluted magnetic semiconductors	p. 278
Exchange interactions in DMS	p. 279
Magnetization curve in magnetic semiconductors	p. 279
Magnetization steps	p. 281
Narrow gap DMS	p. 283
Properties of two-dimensional DMS systems	p. 287
Exchange interaction in DMS quantum wells	p. 287
Magnetization step in quantum wells	p. 290
Magnetic field-induced type I - type II transition	p. 291
Cyclotron resonance in DMS	p. 293
Effect of magnetic ions on the effective mass	p. 293
Cyclotron resonance in III-V magnetic semiconductors	p. 295
Experimental techniques for high magnetic fields	p. 299
Generation of high magnetic fields	p. 299
Steady magnetic fields	p. 299
Pulsed high magnetic fields	p. 299
Ultra-high magnetic fields	p. 304
Measurement of magnetic fields	p. 314
Experiments in high magnetic fields	p. 316
Transport measurement	p. 316
Optical measurement	p. 318
Infrared and far-infrared laser spectroscopy	p. 320
Magnetic measurement	p. 323
General references	p. 326
References	p. 331
Index	p. 355
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