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Haug H., Jauho A.-P. — Quantum kinetics in transport and optics of semiconductors
Haug H., Jauho A.-P. — Quantum kinetics in transport and optics of semiconductors

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Название: Quantum kinetics in transport and optics of semiconductors

Авторы: Haug H., Jauho A.-P.

Аннотация:

This monograph deals with the quantum kinetics for transport in low-dimensional microstructures and for ultrashort laser pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for quantum high-field transport and for mesoscopic transport phenomena. Quantum beats, polarization decay and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis.


Язык: en

Рубрика: Физика/Физика твёрдого тела/Приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 315

Добавлена в каталог: 12.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$N^{+}N^{-}N^{+}$-structure      30
$\Gamma$-point      201
Absorption spectrum      229
Accumulation region      161
Admittance, linear-response      195
Aharonov — Bohm effect      158
Analytic continuation      56 65—68 91
Analytic continuation, weak localization self-energy      105
Ansatz, Generalized Kadanoff — Baym      88—91 145 262
Ansatz, Generalized Kadanoff — Baym, for two bands      211
Ansatz, Kadanoff — Baym      143 212
Anticommutator rule      36 85
Balance equation approach      120
Barker — Ferry equation      146
Binomial coefficients      22
Bloch equations, optical      202 205
Bloch vector      205
Bloch vector, time-development      248
Boltzmann equation, applied to $N^{+}N^{-}N^{+}$-structure      30
Boltzmann equation, connection to quantum kinetics      217
Boltzmann equation, derivation of      3—5
Boltzmann equation, eigenfunction expansion of      8—11
Boltzmann equation, elastic impurities      21 78 114
Boltzmann equation, integral form      149
Boltzmann equation, linearization of      8—11
Boltzmann equation, Monte Carlo solution of      11
Boltzmann equation, numerical integration of      11
Broadening, inhomogeneous      206 231
Catch, related to two-step process      73
chemical potential      167
Coherent back-scattering      104
Coherent potential approximation (CPA)      135
Collision broadening      148—151
Collision frequencies      13
Collision term, as an integral operator      9
Collision term, electron-phonon systems      145
Collision term, gauge-invariant      83
Collision term, Gaussian white noise model      112
Collision term, invariants of      13
Collision term, linearization of      96
Collision term, memory effects      212
Collision term, quantum      73
Collision term, quantum, non — Markovian nature      212
Collision term, resonant-level model      143
Commutator rule      37
Complex-time contour      91
Conductivity electrical, Boltzmann result, electrical, nonlinear      154
Conductivity, electrical, Boltzmann result      104
Conductivity, electrical, Boltzmann result, electrical, Drude      108
Conductivity, electrical, Boltzmann result, electrical, linear d.c      102
Conductivity, electrical, Boltzmann result, electrical, linear for elastic impurities      95 98—104
Conservation law, Boltzmann equation      4
Conservation law, energy      217 274
Conservation law, momentum      122
Continuity equation, static      30
Continuity equation, time-dependent      183
Contour, deformation of      66
Correlation function $G^{<}$, approximate for Coulomb island      172
Correlation function $G^{<}$, Gaussian white noise model      111
Correlation function $G^{<}$, relation to observables      87
Correlation function, density-density      294 297
Correlation function, equation-of-motion      72
Correlation function, retarded current-current      98
Correlation function, time-ordered current-current      99
Coulomb island      170
Coulomb potential, advanced      263 266
Coulomb potential, retarded      263 266
Coulomb potential, screened      12 263
Coulomb potential, screened in RPA      266
Coulomb potential, screened, static      12
Coulomb potential, screened, time-dependent      297
Coulomb potential, two-dimensional Fourier transform      12
Coulomb scattering, in mean-field approximation      227
Coupling, adiabatic      65
Current conservation      99
Current standard      179
Current, density      87
Current, interacting model      167
Current, resonant-level model      166
Current, time-averaged      183—184
Current, time-averaged, for resonant-level model      186
Current, time-dependent      182
Current, time-dependent, linear-response      193—195
Current-voltage characteristic      157
Current-voltage characteristic, experimental      168
Current-voltage characteristic, resonant tunneling device      167
Damping constants      205
Damping, Markovian      213
Damping, non — Markovian      213
Density of states, field-dependent, three dimensions      125
Density of states, field-dependent, two dimensions      125
Density of states, in terms of spectral function      41
Density of states, resonant-level model      135
Density of states, time-dependent      129
Density-matrix methods      120
Density-matrix, thermal equilibrium      59
depletion region      161
Detailed balance      14
Detuning      205
Diagrams, crossed      54 105
Diagrams, disconnected      46 65
Diagrams, Feynman      46 64
Diagrams, ladder      99
Diagrams, maximally crossed      105
Diagrams, rain-bow      54
Diamagnetic term      101
Dielectric breakdown      119
Dielectric function, plasmon pole approximation      297
Dielectric function, time-dependent      297
Diffusion, constant      106
Diffusion, Gaussian white noise model      115
Dipole matrix element      201
Disorder averaging      109
Disorder averaging in external fields      133
Distribution function, Bose      8
Distribution function, drifted Maxwellian      32
Distribution function, Fermi      7
Distribution function, local equilibrium      30
Distribution function,, generalized      73
Drift-velocity, quantum      155
Driving term, gauge-invariant      82
Driving term, gauge-invariant, with magnetic field      82
Driving term, generalized      73
Driving term, re-normalization of      73
Driving term, scalar potential gauge      81
Driving term, vector potential gauge      82
Dyson equation for contour-ordered Green function      65
Dyson equation for inter-band Green function      203 213
Dyson equation, complex time      74 91
Dyson equation, eigenfunction representation of      153
Dyson equation, elastic impurities      100
Dyson equation, electron-phonon systems      50
Dyson equation, Gaussian white noise model      110
Dyson equation, integral form      267
Dyson equation, nonequilibrium      85 91
Dyson equation, resonant-level model      166
Dyson equation, resonant-level model, concentration of impurities      133
Dyson equation, resonant-level model, time-dependent      184
Dyson equation, retarded Coulomb potential      264 270
Eigenfunctions for linearized collision term      9 16
Eigenfunctions, norm      9
Eigenfunctions, scalar product      9
Eigenvalues, density of      14
Eigenvalues, spectrum of      14
Einstein summation convention      79
Electron-hole plasma      261
Electron-phonon interaction      161
Energy re-normalization      43
Energy relaxation      115
envelope function      201
Equation-of-motion for Bloch vector      205
Equation-of-motion for nonequilibrium Green functions      71
Equation-of-motion for reduced interband density matrix      277
Equation-of-motion technique      65 163
Equation-of-motion technique for reduced density matrix      199
Equation-of-motion technique, Coulomb island      170
Equation-of-motion technique, elastic impurity problem      52
Equation-of-motion technique, resonant-level model      47 131
Excitonic effects      225
Fano model      47
Fermi’s Golden Rule      4 20
Fermi’s golden rule, applied to polaron scattering      214
Feynman diagrams for elastic impurity problem      53
Feynman diagrams, electron-phonon system      49
Feynman diagrams, two-particle Green function      51
Feynman path integral method      120
Field operator      37
Field operator for quantum-well structure      201
Field operator in terms of Bloch waves      200
Fluctuating energy-levels      195—196
Fluctuation-dissipation theorem      96 171
Fluctuation-dissipation theorem, derivation of      41—44
Fock space      35
Fock space, completeness relation of      36
Fokker — Planck equation      11
Four-wave mixing      229
Four-wave mixing, calculation of      255—258
Four-wave mixing, experiments      258—260
Four-wave mixing, time-resolved      204 232 235 238 253
Fr$\ddot{o}$hlich coupling      257
Fractional quantum Hall effect      49
Franz — Keldysh effect      125 129
Fredholm iteration      223
Free induction decay      206
Functional differentiation      65
Gauge invariance      79—85 92
Gauge invariance, transformation of functions      79
Gauge transformation      80
Gauge, scalar potential      81
Gauge, vector potential      81
Gaussian white noise model, GWN,      109
Gell — Mann and Low theorem      45
Gradient expansion      75—77 79
Gradient expansion, derivation of      76—77
Gradient operator      76
Green function, advanced, definition of      40 63
Green function, advanced, elastic impurities      54
Green function, advanced, for two bands      211
Green function, advanced, non-interacting contacts      182
Green function, antitime-ordered, definition of      63
Green function, causal      62 99
Green function, causal, definition of      38 63
Green function, contour-ordered      59—68 162
Green function, contour-ordered, definition of      62
Green function, contour-ordered, perturbation expansion for      64
Green function, correlation function, definition of      63
Green function, equilibrium theory of      35—56
Green function, finite temperature, definition of      39
Green function, free-particle      46—47
Green function, free-particle, differential equation for      39
Green function, gauge-invariant      120 123
Green function, greater, definition of      40 63
Green function, higher-order      65
Green function, in scalar potential gauge      81
Green function, in vector potential gauge      81
Green function, inter-band, definition of      202
Green function, lesser, definition of      40 63
Green function, lesser, non-interacting contacts      182
Green function, perturbation expansion of      44 46
Green function, phonon, equilibrium      68 145
Green function, retarded, analytic structure      123
Green function, retarded, approximate for Coulomb island      171
Green function, retarded, definition of      40 63
Green function, retarded, disorder averaged for RLM      133
Green function, retarded, elastic impurities      54
Green function, retarded, field-dependent, scalar potential gauge      120—123
Green function, retarded, field-dependent, vector potential gauge      110
Green function, retarded, for two bands      211
Green function, retarded, gauge-invariant      85
Green function, retarded, Gaussian white noise model      109—111
Green function, retarded, non-interacting contacts      182
Green function, retarded, time-dependent      125
Green function, retarded, time-dependent resonant-level model      185
Green function, time-ordered, definition of      38 63
Green function, two-particle      50 95 99
Green function, two-particle, causal impurity-averaged      100
Green function, two-particle, factorization of      99
Green function, two-particle, integral equation for      101
H-function      6
H-Theorem      5—8
Hamilton — Jacobi equation      288
Hartree — Fock approximation      173 227
High temperature superconductors      49
Hilbert space      9 35
Impurity averaging      51—55 99
Impurity averaging, nonequilibrium      133
Impurity averaging, prescription for      51 133
Initial correlations      66
Interaction, carrier - classical light field      200 201
Interaction, electron - classical light field, in rotating-wave approximation      202
Interaction, electron-phonon, in second quantization      37
Interaction, Fr$\ddot{o}$hlich      210
Interaction, one-body, in second quantization      37
Interaction, two-particle, in second quantization      37
Interband polarization      204
Intra-collisional field-effect      115 131
Intra-collisional field-effect,      148 149 151
Intraband polarization function      263
inversion      205
Irreversibility, Boltzmann equation      73
Irreversibility, quantum kinetic equation      73
Jellium model      261
Joule heating      142
Kadanoff — Baym equation      72 81 91 111
Kadanoff — Baym equation for inter-band Green function      209
Kadanoff — Baym equation, derivation of      71—73
Keldysh equation      89 91 111 166 171
Keldysh equation for resonant-level model      185
Keldysh equation, derivation of      73—74
Kinetic energy, in terms of a Green function      39
Kinetic equations, numerical solution, stochastic      20
Kinetics, free-carrier      202
Kinetics, linear polarization      218
Kinetics, linearized Coulomb      12—20
Kinetics, Markovian      235
Kinetics, optical inter-band      204
Kinetics, quantum      235
Kinetics, quantum, coupled electron-phonon      241
Kinetics, quantum, exciton      227
Kinetics, quantum, interband      199
Kondo phenomenon      49 162 172
Kondo temperature      174
Kubo formula      95
Landau damping      270 295
Landauer formula      159 165
Landauer formula for time-averaged current      184
Langreth theorem      66
Level-shift function      167
Level-width function      163 167
Level-width function, energy-dependence      164
Level-width function, field-dependence      133
Level-width function, generalized      182
Level-width, elastic      167
Level-width, inelastic      167
Level-width, total      167
Limit, Boltzmann      75—78
Limit, completed collisions of      149 217 232 273
Limit, Markov      223
Limit, wide-band (WBL)      183 185
Limit, zero-field limit      122
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