Datta S. — Electronic transport in mesoscopic systems :: Электронная библиотека попечительского совета мехмата МГУ

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Datta S. — Electronic transport in mesoscopic systems

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Название: Electronic transport in mesoscopic systems

Автор: Datta S.

Аннотация:

Recent advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book is the first to give a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green’s function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.

Язык:

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 377

Добавлена в каталог: 19.03.2006

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Предметный указатель

"Fractional quantization"      189
Absorption      310
Advanced function      134—135 139 300
Aharonov — Bohm effect      165—168 214 218—220 243
Aluminum gallium arsenide (AlGaAs)      2 4 7—11 29 220 247 266 273
Anisotropic scatterers      232 235 243
Anti-localization      213
Anti-time ordered function      300 339
Backscattering      37 68 177 188—195 203—206 237 281 284
Ballistic conductor      22 50—60 112—113 160 173 284
Band diagram      7 12 248—249
BBGKY hierarchy      330
Bistability      286
Boltzmann formalism      5 285 322—328
Bose — Einstein function      308
Breit — Wigner formula      260
Buettiker formula      78—86 114 131 182—184 189—195
Buffer layer      9
Charge quantization      247 270
Circulating currents      43
Coherence, coherent source or coherent state      288
Collision time      16
Conductance coefficients or conductance matrix      79 93 123 183 189—190 194—195
Conductance fluctuations      215—222 241 285
Conductance function      90—91
Conductivity      41—44 59 185
Contact resistance      51—57 112
Cooperon      241
Correlated paths      217 220 244
Correlated scattering      20 209 285
Correlation energy      90—92 106
Correlation function      78 102 294—340
Cross junction      113
Current density      23 98 315—318 339
Current fluctuations or noise      97 109 158
Cut-off energy      12
Cyclotron      26 33 37 178
de Broglie wavelength      1 2 209 248
Degenerate conductor      14—15 37 102 128
Density matrix      77 102 295
Density of states      13 27 45 149 154 161—162 231 255 301
Device      2—3 248 322 343—344
Diagrammatic theory      222—242 340
Diffusion coefficient      22 41—42 62
Directional coupler      77
Discrete lattice      144
Disordered contacts      190—191
dispersion relation      12 32—37 144 277—278
Dissipation      69 103 319
Distribution function      66—71 78 295 323—328
Double-slit experiment      282 289—290
Drift velocity      8 23 37
Drude model      23—26 223 231—232 243
Edge states      176—193
effective mass      10—11
Eigenfunction expansion      138 153—154
Einstein relation      39—42 59 62
Election-phonon interaction      132 293 300 308 328 332
Electrochemical potential      see "Quasi-Fermi energy"
Electromagnetic waves      5 277 284
Electron waveguides or quantum wires      30 213 279 289
Electron-electron interaction      19 21 132 209 222 241 244 268—270 288 293 300 307 328
Energy channels      87
Energy distribution      66—71
Energy relaxation length      69—71
Ensemble-average      158 198 218 222—242
Exclusion principle      21 93—102 115 289
Fabry — Perot interferometer      287
Fermi energy      3 8 21 27 45—46 87 176 185 223 266 268 271 274
Fermi function      14 88 101
Fermi surface property      42—44 183
Fermi velocity      16 21 37
Fermi wavenumber      15
Feynman paths      126—128 131 163—167 204—206 210—212 221
Fisher — Lee relation      139—140 148 171 173 210
Floating probe      see "Voltage probe"
Focusing      281—282
Four-terminal resistance      78 82—85 125
Fractional quantum Hall effect      186—187
Gallium arsenide (GaAs)      2 4 7—11 74 220 247 266 273 283
Gauge      30 98
Geometrical optics      279—282
Gold      2—3 19
Golden Rule      231
Green’s function      5 102 132—174 223—239 285 293—342
Group velocity      32—36
h/e, h/2e or h/Ne oscillations      see "Aharonov — Bohm effect"
Hall measurement      2 4 23—25 83 125 183—195
Hamiltonian      133 142—147 151—153 223—224 301 302
Hartree potential      270
Hartree — Fock approximation      307—308 320
HEMT      8
Hilbert transform      309
Hologram      288
Husimi function      328
Impurity scattering      9 16 19
Inelastic scattering      67 71 107 163
Interface resistance      see "Contact resistance"
Josephson effect      290
Keldysh formalism      293
Kirchhoff’s law      80—81
Kubo formalism      157—160
Ladder diagrams      235 243
Landau level      25—29 33 156 176—193 213 239 279
Landau plot      45
Landauer formula, Landauer approach      57—65 86 109 160 202 215 262 319 322
Landauer — Buettiker formalism      102—108 131 188 319—321
Laser      289—290
Lifetime      152—153 230 243 256 304
Linear response (or low bias)      3 79 88—92 106 262 267 272 322
Lineshape function      263 270
Local density of states      155—157
Local equilibrium      60
localization      5 20—21 196—244
Localized states      186—187
Lorentz force      37
Lorentzian      154 252 261 264
Magnetic field in the leads      141
Magnetic impurity      19
Magnetoresistance      23 26 212 220
Manganese impurity      19

Many-body theory      328 339 340
Matrix representation      142—145
Maximally crossed diagrams      235—237
Maxwell equation      276
Mean free path      1 2 19 45 201 213 322
Method of finite differences      141—145
Mobility      8 23—25 41 45
Modulation doping, MODFET      8 24—25
Momentum (or k-) representation      165 224 240 298
Momentum relaxation      8 9 23 130 177 213 243
MOSFET      8
Multi-moded lead      136—137 140
Multi-terminal conductors      92—94 220
Multiple scattering theory      285
Negative resistance      3 75 248
Noise      see "Current fluctuations"
Non-degenerate conductor      14—15 101
Non-invasive measurements      76
Non-linear optics      285—288
Non-local conductivity      158
Non-local potential      302
Non-locality      220—221
Non-Lorentzian shape      154
Non-ohmic behaviour      191—192
Non-perturbative approaches      329
Nyquist — Johnson formula      109 158
Occupation factor      258 265
Ohmic behaviour      1 50
Ohm’s Law      62—65 193 197—200 207 248
One-particle picture      270—272
Open system (or open boundary conditions)      145
Optical      see "Photon"
Orthodox theory      272
Orthogonality      97 99 115 137—138 141 153
Overlap integral      144
Peak current      255—256 273 330
Periodic boundary condition      13
Persistent currents      245 343
Phase-correlation or quantum correlation      296 299 328
Phase-relaxation      1—2 16—17 21—22 45 77 90 129—131 201 206—209 213 242 273 282
Phonon      9 16 69 264—265 308—311 330—338
Phononpeak      331
Photon, optical      3 5 77 256 276—292 295—296
Pinning (Fermi energy)      186
Plateaus      25
Poisson equation      73 92 209 248 268
Position representation      165 224 240
Probability matrices      128
Quantized conductance      55 60
Quantum chaos      245 343
Quantum dots      270 272
Quantum Hall effect      5 175—195 279
Quantum wires      see "Electron waveguides"
Quasi-classical approximation      328
Quasi-Fermi energy (or electrochemical potential)      13—14 37—41 50—51 56—57 60—62 66—77
Quasi-particles      272 324
Radiative transfer      285
Rate equation      257—258 265
Reciprocity      79 83—85 123—124 173 220
Reflectionless contacts      50—51 57 59—62 112
resistivity      23—26 84
Resistivity dipoles      72—73 76
Resonant tunneling      see "Tunneling"
Retarded function      133 300
Scanning tunneling microscope      76 157
Scattering functions      299—340
Scattering matrix (S-matrix)      119—140 170—173
Scattering state      95—98 115 141
Screening length      16 73—74 92 209
Second quantization      5 293 298—299
Self-consistent Born approximation      307
Self-energy      132 147—159 226—231 300—340
Semi-infinite lead      146 171
Shubnikov — de Haas (SdH) oscillations      26—29 213 see
Silicon      8 176
Single-electron charging      222
Single-electron tunneling      see "Tunneling"
Size quantization or quantum size effects      213 270
Snell’s law      291
Space-charge      8 248
Spectral function      149 154—155 163 254 263 301 329
Spin fluctuations      19
Split-gate      55 188 190
Spontaneous or stimulated emission      310
Strong localization      200 222
Strongly correlated transport      328—330 343
Subband      12 14 29—37 133 177
Sum rule      79 92 97 122—123 149
Superconductor      290 343
Thermal broadening function      90—92 263
Thermal source      289—290
Thermionic emission      107
Three-terminal resistance      80—85
Threshold voltage      248—250
Tight-binding model      141—145 311
Time-ordered function      300 339
Time-reversed path      205—206 211
Transfer Hamiltonian formalism      161—163
Transmission function      5 87—88 91—92 97 101 114 119—125 148 162—163 167 171—173 249—253 321—322
Tranverse modes      29—37 45 50—62 98—99 119 136 148 150 173 251
Tunneling      92—93 161
Tunneling, $\Gamma - X$       4
Tunneling, coherent      4 247—256
Tunneling, double-barrier      5 246—274
Tunneling, interband      4
Tunneling, resonant      4 92—93 247—266 273—274 330—338 344
Tunneling, sequential      4 256—266
Tunneling, single-electron      4 266—275 288 343—344
Two-dimensional electron gas (2-DEG)      7 8 11 247 266
Two-terminal resistance      78 220
Uncertainty relation      327
Valence band      7
Valley current      250 263—265 331
Vector potential      11 30 97 120 123 141 211 239 241 278
Vertical flow      101—108 163 265 331 336—338
Voltage probe      74—85 93 99—100 129—131 170 182 192
Wave optics      282—284
Waveguides      see "Electron waveguides"
Weak localization      see "Localization"
Wigner function      325—328
Zero resistance      176—186

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