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Efetov K. — Supersymmetry in disorder and chaos
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Название: Supersymmetry in disorder and chaos
Автор: Efetov K.
Аннотация: The development of the supersymmetry technique has led to significant advances in the study of disordered metals and semiconductors. Proven of great use in the analysis of modern mesoscopic quantum devices, the technique has also found applications in other areas, such as localization and quantum chaos. This volume provides comprehensive treatment of the ideas and uses of supersymmetry. The first four chapters set out the basic results and some straightforward applications of the technique. Thereafter, Professor Efetov covers a range of topics in detail, including random matrix theory, persistent currents in mesoscopic rings, transport in mesoscopic devices, localization in quantum wires and films, and the quantum Hall effect. Special features include problems and solutions drawn from mesoscopics, localization, and quantum chaos, and extended introductions that make each chapter self-contained. The text will be of great interest to graduate students and researchers in condensed matter, statistical, and mathematical physics and in quantum chaos.
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Рубрика: Физика /Физика твёрдого тела /Методы квантовой теории поля /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1997
Количество страниц: 441
Добавлена в каталог: 20.08.2005
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Предметный указатель
Abou-Chacra, R. 366
Abrahams, E. 30—33 44 78 84 197 309 318 362
Abrikosov, A.A. 30 32 35 38 40 41 44 97 167 274
Addition of resistances 206 209
Affleck, I. 381
Aharonov, Y 35
Ahmed, M.T. 372
Akkermans, E. 162 254
Akulov, V.P. 8
Alhassid, Y. 235 238 239 243 264
Altland, A. 117 168 172 174 182
Altshuler, B.L. 31 32 34 35 46 72 78 94 114 117 138 147 162 164 175 189—192 195 197 229 238 254 258 262 263 267 268 271—273 295 362 364 366 391 398
Ambegaokar, V. 161 165
Amit, D.J. 321
Amplitude, complex 32
Amplitude, hopping 277
Anderson, A.C. 136
Anderson, P.W. 32 33 39 44 50 78 275 318 319 372
Ando,T. 31 196 378 382
Andreev, A.V. 117 263
Antidots 313
Aoki, H. 364 376 382 391 393
Apenko, S.M. 377
Approach, dynamic 174 177
Approach, Landauer 196
Approximation, Bethe — Peierls 325
Approximation, effective medium 325 327 333 356 369
Approximation, mean field 61 323—325
Approximation, one-loop 34
Approximation, quadratic 64
Approximation, saddle-point 61 116 321 378
Approximation, self-consistent Born 378 387
Argamann, N. 94 220
Aronov, A.G. 31 34 71 192 195 219 377
Attias, H. 264
Averanging over impurities 40
Averanging over impurities, canonical 156 157 160 173 177—178
Averanging over impurities, grand canonical 157 158 160 173 177—178
Averanging over impurities, self-averaging 281
Azbel, M.Y. 190
Ballistic microstructure 203
Baranger, H.U. 198 212 217 224 233
Bardeen, J. 53
Beenakker, C.W.J. 94 146 189 195 212 217 233 235 248 251 252 276
Belavin, A.A. 389
Belitz, D. 32 358 359 364
Benedict, K.A. 31 381
Benoit, A. 152 165
Benzi, R. 391
Berezin,F.A. 8—11 16 17 21
Berezinian 21 23 25 27 169
Berezinsky, V.L. 30 41 274 290 326
Bergmann, G. 31 32 35 46 78 196
Berry, M.J. 210 213 217
Berry, M.V. 94 248
Bethe lattice 334 356 365 369
Bhatt, R.N. 391
Bifurcation point 333
Billiard 94
Billiard, chaotic 94 259
Billiard, integrable 94
Billiard, quantum 94 400
Billiard, Sinai 94 400
Binder, K. 341
Blanter, Y. 133
Bloch waves 153
Bloch, E. 152
Block, boson-boson 59 61 356 395
Block, fermion-boson 59 61 104
Block, fermion-fermion 59 61 104 388
Block, spin 69
Bluemel, R. 212 292
Bogdanovich, S. 364
Bogoliubov, N.M. 268
Bogoliubov, N.N. 9
Bohigas, O. 94
Bohm, D. 35
Bouchiat, H. 156 174 182 183
Braun, D. 254
Bray, A.Y. 372
Brezin, E. 79 83 268 270 272 379
Broderix, K. 381
Brody, T.A. 232 235 236 243
Brom,H.B. 119 151
Brouwer,P.W. 212 233
Bruynseraede, Y. 31 196
Buettiker, M. 152 190 197 376
Byers, N. 152
Calogero, E. 251
Capacitance 234 326
Casati, G. 94 278 279 293 294 296
Castellani, C. 391
Castilla, G.E. 86
Cavity, ballistic 212
Cavity, disordered 400
Chain 274 290 311—313
Chakravarty, S. 31 86
Chalker, J.T. 31 276 390 391
Chan, I.H. 220 221
Chandrasekhar, S. 246
Chandrasekhar, V. 152 156 160 165
Chang, A.M. 211 240 241
Channel 197
Channel, conducting 275
Channel, open 201
Channel, transversal 164 275
Chaos 94
Chaos, quantum 93 213
Chapelier, C. 152 165
Chapon, C.M. 119
Cheung, H.E. 154 156 158 160
Clarke, R.M. 219 220
Classical percolation 365 377
Classical probability 32
Coddington, P.D. 390 391
Coefficient of the inverse participation ratio 147—148 294 391 396
Coefficient, Hall 385—386
Collet, P. 93
Composite fermions 376
Conductance 30 196 222
Conductance, average 297
Conductance, classical 209
Conductance, differential 265
Conductance, dimensionless 193 399
Conductance, generalized 255 259
Conductivity 38
Conductivity, classical 29 33 43 182
Conductivity, Hall 38 377 382 384—385 387
Conductivity, longitudinal 382 384 387
Conductivity, Mott 85
Conjugation, charge 52 103
Conjugation, complex 10
Conjugation, Hermitian 14 52
Cooper, L.N. 53
Cooperon 45—48 67
Cooperon matrix element 130
Cornfeld, I.P. 93 94
Correlation function 35
Correlation function of conductances 193
Correlation function of density of states 249—250 257 352 355
Correlation function of velocities 255
Correlation function, current-current 37—38 249
Correlation function, density-density 37—38 65 280 291
Correlation function, level-level 39 96 111—113
Corwin, L. 9
Coulomb blockade 234
Current, average 154 156 157 163
Current, current conservation 199
Current, one-level 156 175
Current, persistent 152
Current, typical 156—157
David, E. 269
Davis, E.A. 316 345
Davis, E.D. 305
De Gennes, P.G. 53 67 136 167
de Jongh, L.J. 119
Degree of freedom, cooperon 136
Degree of freedom, electron 48—49
Degree of freedom, fast 45
Degree of freedom, spin 194
Delande, D. 264
Density of states, average 36
Density of states, in strong magnetic field 378—379
Density of states, local 36 139
Denton, R. 124 125
Derivative 10—11
Derivative, partial 20
Deutscher, G. 326
Devaty,R.P. 122 133 137
DeWitt, B. 9
Di Francesco, P. 269 272
Diagram without intersections 41 43
Diagram, ladder 42—44 46
Diagram, maximally crossed 44—45
dielectric constant 135—136 292
Differential 17
Diffusion coefficient 76 78 84 349—351 354
Diffusion coefficient, classical 33 45
Diffuson 47—48
Diffuson matrix element 130
Dimension, fractal 363—364 392—393
Dimension, upper critical 322 358
Dimensional regularization 81
Dipole moment 120—121
Dipole moment, thermodynamic 126—127
Distribution function of wave functions 148 240
Distribution function, conductance 225 318
Distribution function, conductance peaks 237 241
Distribution function, level curvature 264
Distribution function, level velocity 261
Distribution function, local density of states 139 143—144
Distribution function, Porter — Thomas 399—401
Dittrich, T. 278
Domain wall 337
Dorda, G. 376
Dorokhov, O.N. 114 275 276 311
Doron,E. 95 213 278
Dorozhkin, S.I. 386
Drouffe, J.M. 379
Du, R.R. 376
Dynamic magnetization 315—317
Dynamic response 127 176 311
Dyson, F.J. 90 92 246 247 272 273
Dzyaloshinskii, I.E. 38 40 41 44 97
Eckern, U. 161 165
Eckmann, J.-R. 93
Economou, E.N. 279 293 364
Edwards, S.F. 41 50 319
Efetov, K.B. 9—11 24 31 50 58 66 78 79 85 93 104 111 122 126 133 135 138 168 172—174 182 187 217 225 228 232 237 240 267 273 275 276 281 291 302 309 310 311 317 326 332 334 337 340 351 353 355 362 365 367 370 379—382 384 385 388 393 396 415
Effect, quantum Hall 376 381—382
Effect, quantum interference 46
Effect, quantum size 119
Effect, temterature 194 215
Effective charge 80
electric field 120
Eliashberg, G.M. 61 92 120—123 125
Energy, charging 190
Energy, self-energy 41—42
Energy, Thouless 98 209 258 354
Ensemble, Canonical 164—166
Ensemble, circular 90
Ensemble, Gaussian 89
Ensemble, Grand Canonical 165—166
Ensemble, orthogonal 71 79 89 92
Ensemble, symplectic 71 80 89 92
Ensemble, unitary 71 80 89 92
Entin-Wohlman, O. 184 187
Equation, Fokker — Planck 246 250—251 276
Equation, Langevin 247 249
Equation, Laplace 257
Equation, Schroedinger 36 251
Equation, self-consistency 54
Evangelou, S.N. 279 293
Expansion, 2 + - 86
Expansion, 4 - - 322
Expansion, Fourier 164 258 298 302 357
Expansion, high temperature 326 339 331
Expansion, Landau 323
Expansion, low temperature 329
EXTERNAL 121
External, local 121
Faas, M. 254 262 273
Falko, V.I. 220 240 362 393 396
Fastenrath, U. 391
Feder, J. 364
Feingold, M. 279 293
Feng, S. 220
Feshbach, H. 209
Feynman, R.R 269 280
Fibrils 367 370
Figotin, A.L. 274
film 46
Finkelshtein, A.M. 50
Firsov, Y.A. 275
Fisher, D.S. 31 197
Fishman, S. 279
Fluctuations, Porter — Thomas level-width 235
Fluctuations, univeral conductance 190 194
Flux quantum 101 153
Fomin, S.V. 93 94
Foote,M.C. 136
Formula, general Kubo 381
Formula, Gutzwiller trace 94
Formula, Hauser — Feshbach 209 222
Formula, Landauer — Buettiker 198
Frahm, K. 276
Frenkel,A. 95 213
Frequency, cyclotron 29
Frequency, generalized 220
Frequency, Matsubara 38 327
Frolich, H. 92 119
Fu, Y. 372
Fuchs, D. 117
Fukuyama,H. 31 190 196
Function, cone 335—336
Function, Gell-Mann-Law 83—85
Function, Riemann - 95
Furneaux, J.E. 386
Fyodorov, Y V. 264 278 279 294 296 297 341 366 372—374 398—400
G6tze,W. 318 358 359
Gaspard, R. 264
Gate voltage 234
Gauge field 376—377
Gaussian distribution 40—42 53 260
Gaussian distribution of wave functions 147
Gaussian exponential 18 51
Gaussian integral 51 54 60 250
Gaussian statistical hypothesis 89
Gefen, Y. 158 160 162 164 190
Gianonni, M.-J. 94
Gillet,M.F. 119
Ginsparg, P. 269 272
Girvin, S.M. 366 376
Gogolin,A.A. 30 291 316
Gol'fand, Y A. 8
Goldberg, J. 248
Goldman, V. 386
Goldsheid, I.Y. 274
Gorkov, L.P. 30 32 33 35 38 40 41 44 47 78 92 97 114 120—123 125 133 274 311
Gossard, A.C. 376
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