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Davies J.H. — The physics of low-dimensional semiconductors : an introduction
Davies J.H. — The physics of low-dimensional semiconductors : an introduction



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Название: The physics of low-dimensional semiconductors : an introduction

Автор: Davies J.H.

Аннотация:

Low-dimensional systems have revolutionized semiconductor physics and had a tremendous impact on technology. Using simple physical explanations, with reference to examples from actual devices, this book introduces the general principles essential to low-dimensional semiconductors. The author presents a formalism that describes low-dimensional semiconductor systems, studying two key systems in detail: the two-dimensional electron gas, employed in field-effect transistors, and the quantum well, whose optical properties have multiple applications in lasers and other opto-electronic devices. The book will be invaluable to undergraduate and first-year graduate physics or electrical engineering students taking courses in low-dimensional systems or heterostructure device physics.


Язык: en

Рубрика: Физика/Физика твёрдого тела/Приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 438

Добавлена в каталог: 15.08.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $\sigma_1$      313
Optical absorption, general expression for $\sigma_1(\omega)$      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 $\sigma_1$      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 $1/\bar{\epsilon}_r(\omega)$      376
Optical dielectric function, sum rule for $\epsilon_2(\omega)$      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 $\bar{\epsilon}_r(\omega)$      374
Optical properties, general expression for $\sigma_1(\omega)$      371 373
Optical properties, genera] expression for $\sigma_2(\omega)$      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 $1/\bar{\epsilon}_r(\omega)$      376
Optical response, sum rule for $\epsilon_2(\omega)$      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 $\hat{p}_z$      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, $\delta$-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
1 2 3 4
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