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| Contents | ||||||
| 1 | Introduction | 1 | ||||
| 1.1 | Narrow Gap Semiconductors | 1 | ||||
| 1.2 | Physics of Infrared Photo-Electronics | 9 | ||||
| 1.2.1 | Infrared photo-electronics | 9 | ||||
| 1.2.2 | Thermal infrared detector materials: uncooled detectors | 10 | ||||
| 1.2.3 | Light emitting devices | 11 | ||||
| 1.2.4 | Process of infrared physics | 11 | ||||
| 1.2.5 | Infrared materials research, device, and Applications status... | 13 | ||||
| References | 15 | |||||
| 2 | Crystals | 19 | ||||
| 2.1 | Theory of Crystal Growth | 19 | ||||
| 2.1.1 | Introduction | 19 | ||||
| 2.1.2 | The thermodynamics of crystal growth | 23 | ||||
| 2.1.3 | The dynamics of crystal growth | 28 | ||||
| 2.1.4 | Applications of phase diagrams in crystal growth | 32 | ||||
| 2.1.5 | Segregation coefficient | 42 | ||||
| 2.1.6 | Freezing process | 48 | ||||
| 2.2 | Bulk Crystal Growth Methods | 53 | ||||
| 2.2.1 | Pulling technique | 54 | ||||
| 2.2.2 | Bridgman method | 62 | ||||
| 2.2.3 | The half-melt and the Te solvent methods | 68 | ||||
| 2.2.4 | Solid state re-crystallization applied to HgCdTe | 72 | ||||
| 2.3 | Liquid Phase Epitaxy | 76 | ||||
| 2.3.1 | LPE growth | 77 | ||||
| 2.3.2 | LPE process | 83 | ||||
| 2.3.3 | Comparison of different LPE techniques | 90 | ||||
| 2.3.4 | Quality control of HgCdTe LPE films | 93 | ||||
| 2.4 | Molecular Beam Epitaxy Growth of Thin Films | 95 | ||||
| 2.4.1 | Overview of the molecular beam epitaxy process | 96 | ||||
| 2.4.2 | Reflection high-energy electron diffraction (RHEED) | 101 | ||||
| 2.4.3 | Monitoring the growth temperature | 103 | ||||
| 2.4.4 | Composition control | 110 | ||||
| 2.5 | Perfection of Crystals | 116 | ||||
| 2.5.1 | X-ray double-crystal diffraction | 116 | ||||
| 2.5.2 | Morphology | 127 | ||||
| 2.5.3 | Precipitated phase in Hg I-x Cd x Te epitaxial films | 130 | ||||
| 2.5.4 | Native point defects | 136 | ||||
| References | 144 | |||||
| 3 | Band Structures | 151 | ||||
| 3.1 | General Description of Band Structures | 151 | ||||
| 3.1.1 | Band structure theory methods | 151 | ||||
| 3.1.2 | A brief treatment of band structures of narrow gap semiconductors | 155 | ||||
| 3.2 | The k p Perturbation Method and Secular Equations | 161 | ||||
| 3.2.1 | The k p formalism | 161 | ||||
| 3.2.2 | Complete secular equation | 164 | ||||
| 3.2.3 | Selection rules | 170 | ||||
| 3.3 | Calculation of Band Structures | 180 | ||||
| 3.3.1 | Solution at K 0 =0 | 180 | ||||
| 3.3.2 | First order perturbation correction due to the k p term | 182 | ||||
| 3.3.3 | Perturbation with both hp and ( Δ Fxp). σ included | 183 | ||||
| 3.3.4 | Second order perturbation between Ф ia and Ф iß | 188 | ||||
| 3.3.5 | Contribution from the Linear K Term H kso | 191 | ||||
| 3.4 | Parameters of the Energy Bands | 195 | ||||
| 3.4.1 | The energy gap | 195 | ||||
| 3.4.2 | The electron effective mass of the conduction band | 212 | ||||
| 3.4.3 | The momentum matrix element and the heavy-hole effective mass m hh | 220 | ||||
| 3.4.4 | Reference | 221 | ||||
| 3.4.5 | Appendix 3A: Crystallography and the Bloch Theorem | 227 | ||||
| 3.4.6 | Appendix 3B: Overview of the hp Method | 234 | ||||
| 4 | Optical Properties | 239 | ||||
| 4.1 | Optical Constants and the Dielectric Function | 239 | ||||
| 4.1.1 | Fundamentals | 239 | ||||
| 4.1.2 | Kramers-Kronig (KK) relation and optical constants | 242 | ||||
| 4.1.3 | Dispersion of the refractive index | 246 | ||||
| 4.1.4 | Effect of electric and magnetic fields on optical constants | 252 | ||||
| 4.2 | Theory and Experiment of Interband Optical Transitions | 256 | ||||
| 4.2.1 | The theory of direct interband optical transitions | 256 | ||||
| 4.2.2 | Experimental investigations of interband optical transitions. | 266 | ||||
| 4.2.3 | Indirect interband transitions | 274 | ||||
| 4.3 | Intrinsic Absorption Spectra Expressions | 279 | ||||
| 4.3.1 | The absorption edge | 279 | ||||
| 4.3.2 | An analytic expression for the intrinsic absorption band | 285 | ||||
| 4.3.3 | Other expressions for the intrinsic absorption coefficient | 291 | ||||
| 4.4 | Direct Measurements of Optical Constants | 296 | ||||
| 4.4.1 | Introduction | 296 | ||||
| 4.4.2 | The principles of spectroscopic ellipsometry | 298 | ||||
| 4.4.3 | Operational configuration | 302 | ||||
| 4.4.4 | Investigation of the optical constants of Hg 1-X Cd x Te by infrared spectroscopic ellipsometry | 305 | ||||
| 4.4.5 | In situ monitoring of the composition during Hg1 -x Cd x Te growth | 309 | ||||
| 4.5 | Optical Effects Induced by Free Carriers | 316 | ||||
| 4.5.1 | Moss-Burstein effect | 316 | ||||
| 4.5.2 | General theory of free carrier absorption | 328 | ||||
| 4.5.3 | Free carrier absorption of Hg 1-x Cd x Te epitaxial films | 334 | ||||
| 4.5.4 | Magneto-optic effect of free carriers | 347 | ||||
| 4.6 | Optical Characterization of Materials | 356 | ||||
| 4.6.1 | Using infrared-absorption spectra to determine the alloy composition of Hg 1-x Cd x Te | 357 | ||||
| 4.6.2 | Transverse compositional uniformity of Hg 1-x Cd x Te samples | 361 | ||||
| 4.6.3 | The longitudinal compositional distribution of Hg 1-x Cd x Te epilayers | 366 | ||||
| 4.6.4 | Using infrared transmission spectra to determine the parameters of a HgCdTe/CdTe/GaAs multilayer structure grown by MBE | 373 | ||||
| References | 379 | |||||
| 5 | Transport Properties | 385 | ||||
| 5.1 | Carrier Concentration and the Fermi Level | 385 | ||||
| 5.1.1 | Carrier statistical laws .385 Intrinsic carrier concentration n | 387 | ||||
| 5.1.2 | The carrier concentration and the Fermi level for compensated semiconductors | 399 | ||||
| 5.2 | Conductivity and Mobility | 410 | ||||
| 5.2.1 | The Boltzmann equation and conductivity | 410 | ||||
| 5.2.2 | Experimental results of the electron mobility of Hg 1-x Cd x Te | 416 | ||||
| 5.2.3 | An approximate analytic expression for the electron mobility of n-type Hg 1-x Cd x Te | 425 | ||||
| 5.2.4 | An expression for the hole mobility of p-Hg 1-x Cd x Te | 428 | ||||
| 5.3 | Transport Properties in Magnetic Field | 430 | ||||
| 5.3.1 | Conductivity tensor | 430 | ||||
| 5.3.2 | Hall effect | 436 | ||||
| 5.3.3 | Magneto-resistance effect | 441 | ||||
| 5.3.4 | Magneto-transport experimental methods | 445 | ||||
| 5.4 | Mobility Spectrum in a Multi-carrier System | 448 | ||||
| 5.4.1 | The conductivity tensor of a multi-carrier System | 448 | ||||
| 5.4.2 | Multi-carrier fitting procedure | 452 | ||||
| 5.4.3 | Mobility spectrum analysis | 456 | ||||
| 5.4.4 | Quantitative mobility spectrum analysis | 459 | ||||
| 5.5 | Quantum Effects | 470 | ||||
| 5.5.1 | Magneto-resistance oscillation | 470 | ||||
| 5.5.2 | The longitudinal magneto-resistance oscillations of n-InSb | 478 | ||||
| 5.5.3 | The magneto-resistance oscillations in n-Hg 1-x Cd x Te | 487 | ||||
| 5.6 | Hot Electron Effects | 492 | ||||
| 5.6.1 | Hot electrons | 492 | ||||
| 5.6.2 | Hot electron effects in HgCdTe | 495 | ||||
| References | 502 | |||||
| 6 | Lattice Vibrations | 507 | ||||
| 6.1 | Phonon Spectra | 507 | ||||
| 6.1.1 | Monatomic linear chain | 507 | ||||
| 6.1.2 | Phonon dispersion measurement techniques | 511 | ||||
| 6.1.3 | Theoretical calculations of the phonon spectra | 514 | ||||
| 6.2 | Reflection Spectra | 528 | ||||
| 6.2.1 | Two-mode model of lattice vibrations | 528 | ||||
| 6.2.2 | Multi-mode model of lattice vibration | 531 | ||||
| 6.2.3 | Plasmon oscillation-LO phonon coupling effect | 537 | ||||
| 6.2.4 | HgCdTe far-infrared optical constant | 543 | ||||
| 6.3 | Transmission Spectra | 546 | ||||
| 6.3.1 | Far-infrared transmission spectra | 546 | ||||
| 6.3.2 | The two-phonon process | 549 | ||||
| 6.3.3 | Low-frequency absorption band of Hg 1-x Cd x Te alloys | 553 | ||||
| 6.3.4 | Characteristic estimation of phonon spectra | 557 | ||||
| 6.4 | Phonon Raman Scattering | 559 | ||||
| 6.4.1 | Polarizability | 559 | ||||
| 6.4.2 | Scattering cross-section | 568 | ||||
| 6.4.3 | Application of selection rules | 578 | ||||
| 6.4.4 | Raman scattering in HgCdTe | 588 | ||||
| Reference | 595 | |||||
| Index | 599 | |||||
Preface
The physics of narrow-gap semiconductors is an important branch of semiconductor science. Research into this branch focuses on a specific category of semiconductor materials which have narrow forbidden band gaps. Past studies on this specific category of semiconductor materials have revealed not only general physical principles applicable to all semiconductor technology, but also those unique characteristics originating from the narrow band gaps, and therefore have significantly contributed to science and technology. Historically, developments of narrow-gap semiconductor physics have been closely related to the development of the science and technology of infrared optical electronics as narrow-gap semiconductors have played a vital role in the field of infrared-radiation detectors and emitters, and other high speed devices. The present book is dedicated to the study of narrow-gap semiconductors and their applications. It is expected that the present first volume will be valuable to not only the fundamental science of narrow-gap semiconductors but also to the technology of infrared optical electronics.
There have been several books published in this field over the past few decades. In 1977, a British scientist, D.R. Lovett, published a book Semimetals and Narrow-Band Gap Semiconductors (Pion Limited, London). Later, German scientists, R. Dornhaus and G. Nimtz, published a comprehensive review article in 1978, whose second edition, entitled, The Properties and Applications of the HgCdTe Alloy System, in Narrow Gap Semiconductors, was reprinted by Springer in 1983 (Springer Tracts in Modern Physics, Vol. 98, p. 119). These two documents included systematic discussions of the physical properties of narrow-gap semiconductors and are still important references of the field. In 1980, the 18th volume of the series Semiconductors and Semimetals (edited by R.K. Willardson and Albert C. Beer) in which very useful reviews were collected, was dedicated to HgCdTe semiconductor alloys and devices. In 1991, a Chinese scientist, Prof. D.Y. Tang published an important article, "Infrared Detectors of Narrow Gap Semiconductors" in the book Research and Progress of Semiconductor Devices (edited by S.W. Wang, Science Publish, Beijing, pp. 1-107), in which the fundamental principles driving HgCdTe-based infrared radiation detector technology were comprehensively discussed. In addition, a handbook, Properties of Narrow Gap Cadmium-Based Compounds (edited by P. Capper), was published in the United Kingdom in 1994. In this handbook, a number of research articles about the physical and the chemical properties of HgCdTe narrow-gap semiconductors were collected and various data and references about Cd-based semiconductors can be found.
This book Narrow Gap Semiconductors is being divided into two volumes. The first volume is subtitled (Vol. I): Materials Physics and Fundamental Properties. The second volume subtitled, (Vol. II): Devices and Low-Dimensional Physics, will follow. Volume II will have the following table of contents:
1.1 Brief Description of Volume I 1.2 Devices on Narrow Band Gap Systems References
The present book ( Narrow Gap Semiconductors: (Vol. I): Materials Physics and Fundamental Properties) and the forthcoming book ( Narrow Gap Semiconductors (Vol. II): Devices and Low-Dimensional Physics) aim, in the two volumes, at characterizing a variety of narrow-gap semiconductor materials and revealing the intrinsic physical principles that govern their behavior. The discussions dedicated to narrow-gap semiconductors presented in this book evolved within the larger framework of semiconductor physics, in combination with the progresses in the specific field of narrow-gap semiconductor materials and devices. In particular, a unique property of this book is the more extensive collection of results than ever previously assembled of the research results deduced by Chinese scientists, including one author of this book. These results are integrated into the larger body of knowledge from the world literature. In organizing the book, special attention was paid to bridging the gap between basic physical principles and frontier research. This is achieved through extensive discussions of various aspects of the frontier theoretical and experimental scientific issues and connecting them to device related technology. It is expected that both the students and the researchers working in relevant fields will benefit from this book.
The book was encouraged and advised by Prof. D.Y. Tang. One of the authors (J. Chu) is most grateful to Prof. D.Y. Tang's critical reading of the manuscript and invaluable suggestions and comments. The co-author (A. Sher) is indebted to Prof. A.-B. Chen for invaluable suggestions. The authors are also grateful to numerous students and colleagues who over the years have offered valuable support during the writing of this book. They are Drs.: Y. Chang, B. Li, Y.S. Gui, X.C. Zhang, S.L. Wang, Z.M. Huang, J. Shao, X. Lu, Y. Cai, K. Liu, L. He, M.A. Berding, and S. Krishnamurthy. We are indebted to Professor M.W. Müller for his careful reading of Chaps. 1-4 of the English manuscript. The electronic files of the whole camera ready manuscripts were edited by Dr. H. Shen and Dr. X. Lu.
The research of one author's group (J. Chu) that is presented in this book was supported by the National Science Foundation of China, The Ministry of Science and Technology of the People's Republic of China, the Chinese Academy of Science, and the Science and Technology Commission of the Shanghai Municipality.
Microdevices: Physics and Fabrication Technologies
Junhao Chu
Arden Sher
Physics and Properties of Narrow Gap Semiconductors
Narrow gap semiconductors obey the general rules or semiconductor science, but often exhibit extreme features of these rules because of the same properties that produce their narrow gaps. Consequently, these materials provide sensitive tests of theory, and the opportunity for the design of innovative devices. For example, narrow gap semiconductors are the most important materials for the preparation of advanced modern infrared systems.
In this book, the authors o fter clear descriptions of crystal growth and the fundamental structure and properties of these materials. Topics covered include band structure, optical and transport properties, and lattice vibrations and spectra. Physics and Properties of Narrow Gap Semiconductors helps readers to understand semiconductor physics and related areas of materials science and how they relate to advanced opto-electronic devices. A forthcoming book by these authors will focus on the device physics of these unique materials.
ISBN 978-0-387-74743-9
Index
Aab initio calculation, 514
absorption coefficient, 114, 200
absorption edge, 197, 279
absorption spectroscopy, 246
accelerating crucible rotation technique (ACRT), 68
acoustic branch, 510
acoustics phonon scattering, 417
ACRT-THM, 72
adiabatic bond-charge model, 514, 522, 525
Anderson model, 288
atomic displacement (AD), 581
Auger electron spectroscopy (AES), 100
augmented plane-wave (APW), 152
Bband tail, 283
Berstein-Moss factor, 276
Bessel function, 429
blackbody, 105
- ideal blackbody, 105
Bloch function, 151, 161
Bloch theorem, 227
Bohr magneton, 471
Boltzmann constant, 43
Boltzmann distribution, 411, 432
Boltzmann equation, 410, 492
Boltzmann gain-loss equation, 411
Boltzmann transport equation, 328
bond charge (BC), 522
bonding coefficient, 515
Born approximation, 425
Born-Oppenheimer adiabatic approximation, 151
Bose-Einstein factor, 276
bowing term, 209
Bragg angle, 116
Bragg formula, 128
Bridgman technique, 62
Bridgman-Stockbarger technique, 62
Brillouin zone, 2
- first Brillouin zone, 22
Brooks-Herring theory, 429
Brout sum rule, 553, 557
Burstein-Moss offset, 292
Ccarrier density, 99
carrier freeze-out, 477
carrier lifetime, 1 carrier transport, 2
Clapeyron equation, 26
Clausius statement, 24
complex dielectric function, 239
compositional uniformity, 268
conductivity, 410
conductivity tensor, 430
constant-Q technique, 513
cooling rate, 88
Coulomb coefficient, 515
Coulomb interaction, 151, 523
Coulomb potential, 151
covalent binding, 155
CPA, 421, 427
crystal growth, 23
crystal potential, 158
crystal symmetry, 170
cubic symmetry group, 172
cut-off wavelength, 2
CXT formula, 208, 252, 358, 425
cystallography, 227
Czochralski technique, 54
Ddamping constant, 242
Darwin interaction term, 164
Debye length, 426
density functional theory, 1density of states (DOS), 254, 557
dielectric function, 239
differential scanning calorimeter (DSC), 132
diffusion coefficient, 30
Dingle temperature, 473, 483
Dirac relativistic formula, 157, 164
dislocation density, 98, 125
dispersion, 246
double group, 176
double-crystal diffraction curve, 118
double-crystal measurement, 118
double-crystals rocking curves (DCRC), 116
double-layer heterojunction (DLHJ), 93
drift velocity, 492, 502
dynamic equilibrium, 32
Eeffective donor concentration, 321
effective electron mass, 1effective Lande factor, 471
effective medium approximation (EMA) model, 315
Ehrenfest equation, 27
eigen function, 162
eigen value, 162
electron effective mass, 212
electron mobility, 1electron-hole scattering, 417
electron-phonon interaction, 206
ellipsometric parameter, 113
empirical pseudopotential, 152
energy band parameter, 195
energy band structure, 152
energy gap, 197
energy-dispersive x-ray spectroscopy, 128
etch pits density (EPD), 121
eutectic region, 38
Ewald sphere, 102
exciton-phonon interaction, 283
exponential absorption region, 247
Ffar infrared Fourier transform spectrometer (FTIR), 339
far-infrared (FIR), 546
Fermi distribution, 387, 411, 432
Fermi energy level, 388
Fermi level, 385
Fermi-Dirac distribution, 385, 425
Fermi-Dirac integral, 389, 495
Fermi-Dirac statistic, 385
Fermion particle, 411ferroelectric thin film, 10
Fick's laws, 29
Fick's first law, 70
Finkman formula, 375
FIR transmission, 546
Fixed Polarizer, Rotating Polarizer, and Rotating Analyzer (FPRPRA), 303float zone method, 72
Fourier coefficient, 300
Fourier transform, 151
Frankel defect, 138
Franz-Keldysh effect, 252free carrier absorption, 247, 328
free carrier absorption region, 247
freezing process, 48
Fresnel equation, 113
Fröhlich interaction, 419, 581full width at half maximum (FWHM), 116
GGibbs free energy, 26
Golden Rule, 277
gradient of temperature, 29
graphical method, 399
Green's function method, 152
Hhalf-melt technique, 68
half-melting, 62
Hall coefficient, 395, 436
Hall Effect, 424
Hall factor, 437
Hall mobility, 416, 470
Hall resistivity, 436
Hall voltage, 436
Hall-effect measurement, 93
Hamiltonian, 164
Hartree-Fock approximation, 151
heavy hole band, 185, 265
heavy hole effective mass, 195, 216
Helmholtz free energy, 25
Hg interstitial, 136
Hg vacancy, 141
Hg-rich solvent LPE, 92
HgTe-rich solution, 93
high-frequency dielectric constant, 269
hot electron, 496
hot electron effect, 496
hot phonon, 500
HPTB, 421
HSC formula, 252
Hybrid Mixed Conduction Analysis (HMCA), 459
hybrid psudopotential-tight-binding theory (HPTB), 1, 421
Iimpurity energy level, 283
inclusion, 131
indirect interband transition, 266
inelastic neutron scattering (INS), 511
inelastic X-ray scattering (IXS), 511
infrared absorption spectra, 357
Infrared detector, 2infrared focal plane arrays (IRFPAs), 76
infrared spectroscopic ellipsometry, 305
infrared transmission spectra, 366
in-situ doping, 99
interband transition, 197
interference fringe method, 306
interference matrix method, 374
interlayer force constant method, 553, 557
internal energy, 25
intrinsic absorption band, 285
intrinsic absorption region, 247
intrinsic optical absorption, 197
intrinsic semiconductor, 442
ion implantation, 296
ion-BC interaction, 523
ionization, 404
irreducible representation, 172
isobaric process, 25
isothermal process, 25
isovolumetric process, 25
iterative approximation method, 458
JJacobi iterative procedure, 459
joint density of states, 264
Jones matrix, 298
Kk.p formalism, 161
k.p interaction, 154
k.p method, 234
k.p perturbation, 161
k.p perturbation method, 152
k.P perturbation theory, 2
Kane model, 285, 474
Kane region, 285
Kane theory, 154
Keating potential, 525
Kelvin-Plank statement, 24
KKR method, 153
Kramers-Kronig (KK) relation, 242, 309, 562
Kucera formula, 376
LLandau cyclotron radius, 496
Landau energy band, 471
Landau level, 455, 470
Landau sub-band, 470, 478
lattice constant, 19, 155
Lattice Vibration, 515
lattice vibration characteristic, 3
lattice-matched alloy, 20
lattice-mismatched alloy, 20
Laue diffraction equation, 101
law of mass action, 400, 403
light hole band, 265
linearized muffin tin approximation (LMTO), 138
Liquid Phase Epitaxy, 6liquid phase epitaxy (LPE), 6
- horizontal sliding LPE, 79
- tipping LPE, 77
- vertical dipping LPE, 88
liquidus line, 41
longitudinal compositional distribution, 366
longitudinal magneto-resistance, 443, 475, 477, 478, 482, 486, 488, 489, 491
longitudinal optical branch (LO), 519
loop glue method, 267
Lorentz force, 347
Lorentz force law, 412, 436
Lorentzian oscillator, 529
low-frequency absorption band, 554
MMadelung constant, 525
magnetic freeze-out phenomena, 451
magnetic plasma reflection, 197
magneto-optic effect, 3magneto-optical experiment, 199
magneto-resistance effect, 441
magneto-resistance oscillation, 470
magneto-transport, 445
many-body problem, 151
mass-transfer equilibrium, 32
mass-velocity interaction term, 164
Maxwell-Boltzmann distribution, 433, 496
Maxwell-Boltzmann distribution function, 387
MBE growth, 97
mean free path, 416
Metal Organic Chemical Vapor Deposition (MOCVD), 6, 76
metallographic microscopy, 128
micro-photoluminescence, 595
mixed-conduction approximation, 452
Mobility spectrum analysis (MSA), 456
molecular beam epitaxy (MBE), 6, 95
Molecular Beam Epitaxy (MBE), 95
molecular CPA (MCP A), 284
momentum matrix element, 195, 220
momentum relaxation time, 413, 492, 502
momentum-energy conservation laws, 511
monatomic chain, 507
Moss-Burstein shift (MB effect), 317
multi-carrier fitting procedure (MCF), 452
multi-carrier system, 448
multi-mode model of lattice vibration, 531
multiphase equilibrium, 33
NNarrow gap semiconductor, 1
Nathan's expression, 292
native point defect, 136
Newton equation, 507
non-parabolic band, 185
normal freezing, 48
Ooccupation number, 430
Ohm's law, 493
optical branch, 510
optical constant, 114, 296
optical phonon scattering, 417
optical property, 3orthogonalized plane-wave (OPW), 152
orthonormal local orbital (OLO), 276
PPauli exclusion principle, 385
Peltier effect, 59
phase diagram, 34
phase diagram of HgTe-CdTe, 40
phase diagram of InSb, 59
phase equilibrium, 32
phase transformation, 32
phonon absorption region, 247
phonon dispersion, 510
phonon spectra, 514
phonon-assisted absorption, 275
photoconductive, 198
photoconductive device, 1photo-electronic excitation, 2
photon-plasmon coupling, 540
photovoltaic, 198
photovoltaic device, 1piezoelectric scattering, 417
Planck equation, 105
plasmon oscillation, 537
p-n junction, 294
polariton, 537
polarizability, 559
precipitated phase, 130
primitive lattice vector, 227
Proportional Integral Derivative (PID), 56
pseudo-binary semiconductor, 3pulling technique, 54
Qquantitative mobility spectrum analysis (QMSA), 459
quantum effect, 470
quantum Hall effect, 452
quantum limit, 476, 477
quasi-elastic approximation, 507
RRAE (rotating analyzer ellipsometer), 299
Raleigh coefficient, 31
Raleigh constant, 30
Raman scattering, 559, 587
- micro-Raman scattering, 595
Raman tensor, 579
reciprocal lattice vector, 102, 170, 229
recursion method, 374
reduced-conductivity-tensor scheme (RCT), 452
reflectance spectroscopy, 246
reflected high-energy electron diffraction (RHEED), 99
Reflection Spectra, 528
refraction index, 245
refractive index, 246
relaxation time, 328
residual impurities, 421
RHEED, 97
rigid-ion model, 514
rocking curve, 118, 124
root mean square (rms), 365
rotating analyzer and polarizer (RAP), 302
Rutherford backscattering spectroscopy (RBS), 135
Ssample-glue-substrate structure, 269
scanning electron microscopy (SEM), 127
scanning ion-beam mass
spectroscopy (SIMS), 126
scattering cross section, 568
Schrödinger equation, 151, 161, 386
SdH effect, 488
second order perturbation, 188
second order phase transition, 27
secondary ion mass spectroscopy (SIMS), 100
segregation coefficient, 42- effective segregation coefficient, 57
selection rule, 170, 578
shell model, 514, 515
Shockley's graphical method, 400
short range correlation, 158
Shubnikov-de Haas (SdH) effect, 451
Shubnikov-de Haas (SdH)oscillation, 478
SIMS (secondary ion mass
spectroscopy), 366
single group, 175
S-L coupling, 166
solid re-crystallization, 54
Solid state re-crystallizing, 72
solidus phase line, 41
spectroscopic ellipsometry, 296
- in situ spectroscopic ellipsometry, 111
spin splitting, 475, 489
spin-orbit interaction, 154
spin-orbit interaction term, 164
spin-orbit split band, 185
spin-orbit split-off band, 158
spin-orbit splitting, 195, 216
square root rule, 287, 296
state population distribution, 430
Stefan-Boltzmann law, 105
structure factor, 116
Subnikov-de Hass effect, 197
super-cooling, 28
- compositional super-cooling, 52
super-saturation, 28
surface electric field (SF), 581
surface morphology, 127, 128
Szigeti charge, 518
TTe interstitial, 136
Te solvent, 54
Te solvent technique, 68
Te vacancy, 141
Te-rich solution, 91
ternary semiconductor, 209
the thermodynamic degrees of freedom, 33
the third law of thermodynamics, 24
thermal equilibrium, 32
thermal-neutron-absorption crosssection, 513
thermodynamics, 23
tight-binding, 152
transition matrix element, 255
transition probability, 277
transmission electron microscopy (TEM), 126
transmission spectra, 546
transport process, 3 transverse compositional uniformity, 361
transverse magneto-resistance, 472, 473, 475, 478, 489, 491
transverse optical branch (TO), 519
traveling hot-zone method (THM), 72
two-mode model of lattice vibrations, 528
two-phonon process, 549
Uultraviolet photo-electronic spectroscopy (UPS), 100
Urbach absorption law, 367
Urbach exponential rule, 280
Urbach rule, 284
VVan der Pauw configuration, 462, 465
Van der Pauw method, 446, 462, 465, 469
vertical LPE method (VLPE), 92
virtual crystal approximation(VCA), 158, 208
void, 128
WWannier function, 152
weighing technique, 58
Wien's Law, 105
Wigner-Seitz primitive cell, 228
XX-ray backscattering spectrometer, 511
X-ray double-crystal diffraction, 116
X-ray electron spectroscopy (XPS), 100
x-ray topological morphology (XRT), 127
Zzincblende cubic structure, 19
zone melting, 48
Junhao Chu
He is a member of CAS, directs the National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, and is at the East China Normal University.
Arden Sher
He is retired from SRI International and Stanford University.