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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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