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Davies J.H. — The physics of low-dimensional semiconductors : an introduction |
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Предметный указатель |
Modulation-doped layers, density as function of gate voltage 333 334
Modulation-doped layers, density of states as thickness 334
Modulation-doped layers, effect of doped substrate 341—342
Modulation-doped layers, effect of DX centres 337—339
Modulation-doped layers, effect of spacer on density 339
Modulation-doped layers, parallel conduction 340
Modulation-doped layers, persistent photoconductivity 339
Modulation-doped layers, simple model 331
Modulation-doped layers, threshold voltage 335
Molecular-beam epitaxy 82—84
Molecular-beam epitaxy, degree of contamination 115
Molecular-beam epitaxy, rate of growth 115
Momentum, canonical 208
Momentum, expectation value 15
Momentum, kinematical 208
Momentum, mechanical 208
Momentum, operator 13
MOSFET see "Metal-oxide semiconductor field-effect transistor"
MOVCD see "Metal-organic chemical vapour deposition"
MOVPE see "Metal-organic vapour phase epitaxy"
MQW see "Multi-quantum well"
Multi-quantum well 91 318
Nearly free electron method 280—284
Nearly free electron method, condition for band gaps 282
Nearly free electron method, energy near band gaps 283
Nearly free electron method, far from band gaps 281
Nearly free electron method, pseudopotentials 284
Nearly free electron method, width of band gaps 283
Negative differential resistance 176
Occupation function, Boltzmann 32 38 39
Occupation function, Bose — Einstein 38 39 303
Occupation function, classical semiconductors 35
Occupation function, degenerate 34
Occupation function, Fermi — Dirac 30 39
Occupation function, interacting electrons on an impurity 39
Occupation function, non-degenerate 34
Occupation function, non-equilibrium 37
Occupation function, phonons 38
One-dimensional systems, density of states 141
One-dimensional systems, energies 141
One-dimensional systems, general theory 140—141
One-dimensional systems, subbands 141
One-dimensional systems, wave functions 141
Operators 13—14 19—20
Operators, commutator 19 252
Operators, constants of motion 20 252
Operators, diagonalization 252
Operators, expectation values 15
Operators, Hamiltonian 13
Operators, Hermitian 15
Operators, significance of eigenvalues 14
Optical absorption 69
Optical absorption, direct and indirect band gaps 70
Optical absorption, excitons 399
Optical absorption, general expression for 313
Optical absorption, general expression for 371 373
Optical absorption, general theory 308—313
Optical absorption, indirect transitions 70
Optical absorption, interband transitions 313—316
Optical absorption, interband transitions in quantum wells 387—393
Optical absorption, perturbation 311
Optical absorption, positive sign of 313
Optical absorption, quantum well 316—321
Optical absorption, vertical transitions 69
Optical conductivity in terms of oscillator strengths 374
Optical conductivity, imaginary part 373
Optical conductivity, real part 313 371 373
Optical confinement 105—107
Optical confinement, relation to confinement of electrons 105
Optical dielectric function 374
Optical dielectric function in terms of oscillator strengths 375
Optical dielectric function, sum rule for 376
Optical dielectric function, sum rule for 376
Optical gain 396
Optical joint density of states 315 392 396
Optical properties of quantum wells, interband transitions 387—393
Optical properties of quantum wells, intersubband transitions 316—321
Optical properties, general expression for 374
Optical properties, general expression for 371 373
Optical properties, genera] expression for 373
Optical properties, interband transitions in quantum wells 387—393
Optical response, f-sum rule 375
Optical response, general theory 373—375
Optical response, Kramers — Kronig relations 372—373
Optical response, sum rule for 376
Optical response, sum rule for 376
Optical response, sum rules 375—377
Orthogonality 20 250
Orthonormality 250
Oscillator strengths 318 374 422
Oscillator strengths in optical dielectric function 375
Oscillator strengths with z and 327
Oscillator strengths, intersubband transitions in a quantum well 320
Parabolic well 125—128
Parabolic well, 2D and 3D 137—139 222
Parabolic well, due to magnetic field 220
Parabolic well, energies 126
Parabolic well, length and energy scales 125
Parabolic well, optical absorption 128
Parabolic well, wave functions 127
Parallel conduction 340
Parallel conduction, detection using Hall effect 218 340
Parallel conduction, detection using Shubnikov — de Haas effect 340
Parallel conduction, effect on density of 2DEG 340
Particle in a box 4
Pauli exclusion principle 30
Peierls distortion 55
Perfectly transmitting wire 195
Periodic potential 45
Persistent photoconductivity 339
Perturbation theory, degenerate 273—275
Perturbation theory, diagrams 321—324
Perturbation theory, division of system 253
Perturbation theory, relation between time-dependent and time-independent results 322
Perturbation theory, time-dependent 290—295 301—302
Perturbation theory, time-independent 252—261
Phonon scattering 302—308
Phonon scattering in 2DEG 363—365
Phonon scattering, general formula in 2DEG 364
Phonon scattering, LA phonon perturbation 303
Phonon scattering, longitudinal acoustic (LA) 303—305
Phonon scattering, longitudinal optic (LO) 306—308
Phonon scattering, umklapp scattering 308
Phonons 70
Phonons, 1D diatomic chain 73—75
Phonons, 1D monatomicchain 71—73
Phonons, 3D 75—76
Phonons, acoustic and optic 74
Phonons, amplitude of quantized vibration 73
Phonons, longitudinal acoustic 303
Phonons, occupation number 38 303
Phonons, polar optic 74 306
Phonons, polarization 70
Phonons, transverse optic (TO) 75
photoluminescence 8
Photonic band gap 107
Physical constants 409
Piezoelectric effect 60
Pinning of Fermi level 331
PL see "Photoluminescence"
Plasma (dielectric function) 353 375 421
Plasma frequency 353 375 420
Plasmons 353 377
Plasmons, dispersion in 2D 355
Poisson's equation 330
Poisson's equation in Fourier space 350
Poisson's equation, Hartree potential 346
Poisson's equation, Schottky barrier 269
Poisson's equation, self-consistent solution 331 346
Polarizability 258
| Polarization field 349
Polarization function of electron gas 35 L 353
Population inversion 318
Position, expectation value 15
Position, operator 13
Position, standard deviation 15
Potential step in heterostructures 197
Potential step, amplitudes 152
Potential step, coefficients for flux 152
Potential step, reflection and transmission 150—153
Potential step, T-matrix 154
Potential well, -function 124 147
Potential well, Coulomb (2D) 139
Potential well, Coulomb (3D) 140
Potential well, cylindrical (2D) 136—137
Potential well, different mass in well and barrier 142—146
Potential well, different plateaus 147
Potential well, finite square 119—125
Potential well, infinite square 4—6 118—119
Potential well, infinite square (2D and 3D) 136
Potential well, parabolic 125—128
Potential well, parabolic (2D and 3D) 137—139
Potential well, spherical 139—140
Potential well, symmetry of wave functions 119 120
Potential well, triangular 128—130 342
Principal part of integral 372 418
Properties of common semiconductors 410
Pseudomorphic structures 98
Pseudopotential 284
Quantized conductance 187
Quantized conductance, limitations on accuracy 187
Quantum cascade laser 215 397
Quantum corral 137
Quantum dots 142
Quantum dots in magnetic field 237
Quantum dots, defined by growth 105
Quantum dots, self-organized 105
Quantum Hall effect 218
Quantum Hall Effect, fractional 244—245
Quantum Hall Effect, integer 228—229 239—242
Quantum lifetime see "Single-particle lifetime"
Quantum mechanics of many electrons 344—347
Quantum mechanics of many electrons, Hartree approximation 345—346
Quantum mechanics of many electrons, Hartree — Fock approximation 347
Quantum mobility 228
Quantum number 5
Quantum number, angular momentum 136
Quantum point contact 185—188
Quantum point contact, adiabatic approximation 186
Quantum point contact, quantized conductance 187
Quantum unit of conductance 165
Quantum well 4 89
Quantum well in electric field 257—260
Quantum well in electric field, destruction of bound state 260
Quantum well in electric field, effect of higher states 258
Quantum well in electric field, polarizability 258
Quantum well in electric field, quantum-confined Stark effect 258 259
Quantum well in electric field, shift in energy 258
Quantum well, band structure 384—387
Quantum well, effect of strain on band structure 386
Quantum well, optical absorption 316—321
Quantum wires in magnetic field 233—236
Quantum wires, defined by growth 105
Quantum wires, defined by patterning 103
Quantum wires, general theory 140—141
Quantum wires, magnetic depopulation 236
Quantum-confined Stark effect 258 259 404—405
Quantum-confined Stark effect in modified wells 285
Quantum-confined Stark effect, effect of field in plane of well 404
Quantum-confined Stark effect, lifetime in high electric field 260
Quasi-bound state 90 168
Quasi-classical approximation see "WKB theory"
Quasi-elastic approximation for LA phonons 305
Quasi-Fermi level 37 162 396
Real-space transfer 135
Reciprocal lattice 56
Reciprocal lattice vectors 45 49
Rectangular barrier 89
Reduced zone scheme 47 48
Reflected high-energy electron diffraction 84
Reflection amplitude 151
Reflection amplitude for evanescent waves 152
Reflection amplitude, from reverse side 161
Reflection coefficient 152
Reflection coefficient from reverse side 161
Reflection coefficient with different plateaus 161
Refractive index 105
Refractive index, complex 310 395
Regrowth 85
Relative permittivity 349
Relaxation time 53
Remote doping 93
Repeated zone scheme 47 48
Resistivity tensor 216
Resistivity tensor in high magnetic field 218
Resonant scattering 173
Resonant state 90 168
Resonant state, signature in transmission coefficient 168
Resonant state, transmission amplitude 171
Resonant state, width and lifetime 168 170 171
Resonant tunnelling 90 167—177
Resonant tunnelling in 1D 168—172
Resonant tunnelling, Breit — Wigner formula 170
Resonant tunnelling, condition for resonance 170
Resonant tunnelling, current in 1D 174—176
Resonant tunnelling, current in 3D 176
Resonant tunnelling, effect of bias on band profile 173
Resonant tunnelling, effect of different materials 176 177
Resonant tunnelling, Lorentzian transmission coefficient 170 171
Resonant tunnelling, negative differential resistance 176
Resonant tunnelling, partial waves 172—173
Resonant tunnelling, T-matrix 169
Resonant tunnelling, transmission amplitude 169
Resonant tunnelling, transmission at resonance 169
Resonant tunnelling, transmission coefficient 169 171
Resonant tunnelling, triangular I(V) 176
Resonant tunnelling, width of transmission peak 170
Resonant-tunnelling diode 90 108 173—177
Response function 417
Response function, impulse 372
Response function, linear- 372
RHEED see "Reflected high-energy electron diffraction"
Rydberg energy 111 139 399
S-matrix 153
Satellite valleys 68
Scalar potential 207
Scalar potential for uniform electric field 207
Scattering by alloy 80 325
Scattering centre 183 184
Scattering, general concept 290
Scattering, impurities 295—299
Scattering, ionized impurities 92
Scattering, isotropic 297 301
Scattering, LA phonons 303—305
Scattering, LO phonons 306—308
Scattering, short-range impurity 299—301
Scattering, stimulated and spontaneous emission 303
Scattering, umklapp processes 308
Schottky barrier 268 331
Schottky barrier, potential underneath 269
Schottky barrier, transmission coefficient (WKB approximation) 269
Schroedinger equation for excitons 398
Schroedinger equation for Hartree wave function 346
Schroedinger equation for magnetic field in Landau gauge 219—222
Schroedinger equation for magnetic field in symmetric gauge 222—223
Schroedinger equation for many electrons 345
Schroedinger equation in electric and magnetic fields 208 311
Schroedinger equation, as matrix 251
Schroedinger equation, centre-of-mass and relative coordinates 398
Schroedinger equation, self-consistent solution 331 346
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