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Efetov K. — Supersymmetry in disorder and chaos
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 + $\epsilon$-      86
Expansion, 4 - $\epsilon$-      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 $\zeta$-      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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