Theory of nonequilibrium superconductivity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford University Press
2009
|
| Ausgabe: | 1. publ. in paperback |
| Schriftenreihe: | International series of monographs on physics
110 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | Originally published: 2001 |
| Beschreibung: | XIII, 328 S. graph. Darst. |
| ISBN: | 0199566429 9780199566426 |
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| 245 | 1 | 0 | |a Theory of nonequilibrium superconductivity |c Nikolai B. Kopnin |
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Datensatz im Suchindex
| _version_ | 1804142739944636416 |
|---|---|
| adam_text | Titel: Theory of nonequilibrium superconductivity
Autor: Kopnin, Nikolaj B
Jahr: 2009
CONTENTS
I GREEN FUNCTIONS IN THE BCS THEORY
Introduction 3
1.1 Supereonducting variables 3
1.1.1 Ginzburg-Landau theory 4
1.1.2 Example: Vortices in type II superconductors 8
1.1.3 Bogoliubov-de Gennes equations 15
1.1.4 Quasiclassical approximation 16
1.2 Nonstationary phenomena 18
1.2.1 Time-dependent Ginzburg-Landau theory 18
1.2.2 Microscopic argumentation 21
1.2.3 Boltzmann kinetie equation 23
1.3 Outline of the contents 25
Green functions 27
2.1 Second quantization 27
2.1.1 Schrödinger and Heisenberg Operators 29
2.2 Imaginary-time Green function 30
2.2.1 Deflnitions 30
2.2.2 Example: Free partieles 34
2.2.3 The Wiek theorem 36
2.3 The real-time Green functions 38
2.3.1 Definitions 38
2.3.2 Analytical properties 39
The BCS model 42
3.1 BCS theory and Gor kov equations 42
3.1.1 Magnetic field 47
3.1.2 Frequency and momentum representation 48
3.1.3 Order parameter of a d-wave superconductor 52
3.2 Derivation of the Bogoliubov-de Gennes equations 53
3.3 Thermodynamic potential 55
3.4 Example: Homogeneous State 57
3.4.1 Green functions 57
3.4.2 Gap equation for an s-wave superconductor 58
3.5 Perturbation theory 60
3.5.1 Diagram technique 60
3.5.2 Electric current 61
CONTENTS
Supereonducting alloys 64
4.1 Averaging over impurity positions 64
4.1.1 Magnetic impurities 70
4.2 Homogeneous State of an s-wave superconductor 71
II QUASICLASSICAL METHOD
General prmciples of the quasiclassical approximation 77
5.1 Quasiclassical Green functions 77
5.2 Density, current, and order parameter 81
5.3 Homogeneous state 84
5.4 Real-frequency representation 86
5.4.1 Example: Homogeneous State 86
5.5 Eilenberger equations 88
5.5.1 Self-energy 90
5.5.2 Normalization 92
5.6 Dirty limit. Usadel equations 94
5.7 Boundary conditions 96
5.7.1 Diffusive surface 96
Quasiclassical methods in stationary problems 101
6.1 s-wave superconduetors with impurities 101
6.1.1 Small currents in a uniform state 101
6.1.2 Ginzburg-Landau theory 103
6.1.3 The upper eritical field in a dirty alloy 107
6.2 Gapless s-wave superconduetivity 109
6.2.1 Critica! temperature 110
6.2.2 Gap in the energy spectrum 111
6.3 Aspects of cf-wave superconduetivity 113
6.3.1 Impurities and d-wave superconduetivity 113
6.3.2 Impurity-induced gapless excitations 114
6.3.3 The Ginzburg-Landau equations 115
6.4 Bound states in vortex cores 117
6.4.1 Superconduetors with s-wave pairing 118
6.4.2 rf-wave superconduetors 122
Quasiclassical method for layered superconduetors 125
7.1 Quasiclassical Green functions 125
7.2 Eilenberger equations for layered Systems 128
7.3 Lawrence-Doniach model 129
7.3.1 Order parameter 130
7.3.2 Free energy and the supercurrent 132
7.3.3 Microscopic derivation of the supercurrent 134
7.4 Applications of the Lawrence-Doniach model 135
7.4.1 Upper eritical field 136
7.4.2 Intrinsic pinning 137
CONTENTS xi
III NONEQUILIBRIUM SUPERCONDUCTIVITY
8 Nonstationary theory 143
8.1 The method of analytical continuation 143
8.1.1 Clean superconduetors 145
8.1.2 Impurities 149
8.1.3 Order parameter, current, and particle density 152
8.2 The phonon model 152
8.2.1 Self-energy 152
8.2.2 Order parameter 157
8.3 Particle-particle collisions 159
8.4 Transport-like equations and the conservation laws 161
8.5 The Keldysh diagram technique 163
8.5.1 Definitions of the Keldysh functions 163
8.5.2 Dyson equation 167
8.5.3 Keldysh functions in the BCS theory 168
9 Quasiclassical method for nonstationary phenomena 170
9.1 Eliashberg equations 170
9.1.1 Self-energies 172
9.1.2 Order parameter, current, and particle density 174
9.1.3 Normalization of the quasiclassical functions 174
9.2 Generalized distribution funetion 175
9.3 s-wave superconduetors with a short mean free path 177
9.4 Stimulated superconduetivity 181
10 Kinetic equations 186
10.1 Gauge-invariant Green functions 186
10.1.1 Equations of motion for the invariant functions 188
10.2 Quasiclassical kinetic equations 192
10.2.1 Superconduetors in electromagnetic fields 194
10.2.2 Discussion 197
10.3 Observables in the gauge-invariant representation 199
10.3.1 The electron density and charge neutrality 201
10.4 CoIIision Integrals 203
10.4.1 Impurities 204
10.4.2 Electron-phonon collision integral 205
10.4.3 Electron-electron collision integral 207
10.5 Kinetic equations for dirty s-wave superconduetors 209
10.5.1 Small gradients without magnetic impurities 210
10.5.2 Heat conduetion 211
11 The time-dependent Ginzburg-Landau theory 213
11.1 Gapless superconduetors with magnetic impurities 213
11.2 Generalized TDGL equations 215
11.3 TDGL theory for d-wave superconduetors 221
11.4 d.c. electric field in superconduetors. Charge imbalanee 226
CONTENTS
IV VORTEX DYNAMICS
231
12 Time-dependent Ginzburg-Landau analysis
12.1 Introduction 231
12.2 Energy balance 233
12.3 Moving vortex 234
12.4 Force balance 236
12.5 Fluxflow 238
12-5.1 Single vortex: Low fields 238
12.5.2 Dense lattiee: High fields 240
12.5.3 Directum of the vortex motion 242
12.6 Anisotropie superconduetors 243
12.6.1 Low fields 245
12.6.2 High fields 246
12.7 Flux flow in layered superconduetors 246
12.7.1 Motion of paneake vortices 247
12.7.2 Intrinsic pinning 247
12.8 Flux flow within a generalized TDGL theory 248
12.8.1 Dirty superconduetors 248
12.8.2 d-wave superconduetors 251
12.8.3 Discussion: Flux flow conduetivity 252
12.9 Flux flow Hall effect 253
12.9.1 Modified TDGL equations 254
12.9.2 Hall effect: Low fields 255
12.9.3 High fields 256
12.9.4 Discussion: Hall effect 256
13 Vortex dynamies in dirty superconduetors 259
13.1 Microscopic derivation of the force on moving vortices 259
13.1.1 Variation of the thermodynamic potential 259
13.1.2 Force on vortices 260
13.2 Diffusion controlled flux flow 263
13.2.1 Discussion 269
14 Vortex dynamies in clean superconduetors 271
14.1 Introduction 271
14.1.1 Boltzmarm kinetic equation approach 272
14-1.2 Forces in s-wave superconduetors 274
14.2 Spectral representation for the Green functions 277
14.3 Useful identities 279
14.4 Distribution funetion 282
14.4.1 Localized excitations 282
14.4.2 Delocalized excitations 287
14.5 Flux flow conduetivity 290
14.6 Discussion 292
14.6.1 Conduetivity: Low temperatures 292
CONTENTS xiii
14.6.2 Conduetivity: Arbitrary temperatures 293
14.6.3 Forces 298
15 Boltzmann kinetic equation 303
15.1 Canonical equations 303
15.2 Uniform order parameter 303
15.2.1 Boltzmann equation in presence of vortices 306
15.3 Quasiparticles in the vortex core 307
15.3.1 Transformation into the Boltzmann equation 307
15.4 Vortex mass 311
15.4.1 Equation of vortex dynamies 312
15.4.2 Vortex momentum 314
15.5 Vortex dynamies in d-wave superconduetors 315
15.5.1 Distribution funetion 315
15.5.2 Conduetivity 318
References 320
Index 325
|
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. in paperback |
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| indexdate | 2024-07-09T22:36:34Z |
| institution | BVB |
| isbn | 0199566429 9780199566426 |
| language | English |
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| physical | XIII, 328 S. graph. Darst. |
| publishDate | 2009 |
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| series | International series of monographs on physics |
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| spelling | Kopnin, Nikolai B. Verfasser aut Theory of nonequilibrium superconductivity Nikolai B. Kopnin 1. publ. in paperback Oxford [u.a.] Oxford University Press 2009 XIII, 328 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series of monographs on physics 110 Oxford science publications Originally published: 2001 Supraleitung (DE-588)4058651-0 gnd rswk-swf Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Supraleitung (DE-588)4058651-0 s Nichtgleichgewicht (DE-588)4171730-2 s DE-604 International series of monographs on physics 110 (DE-604)BV000106406 110 http://www.gbv.de/dms/ilmenau/toc/32508551X.PDF Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020162856&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kopnin, Nikolai B. Theory of nonequilibrium superconductivity International series of monographs on physics Supraleitung (DE-588)4058651-0 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd |
| subject_GND | (DE-588)4058651-0 (DE-588)4171730-2 |
| title | Theory of nonequilibrium superconductivity |
| title_auth | Theory of nonequilibrium superconductivity |
| title_exact_search | Theory of nonequilibrium superconductivity |
| title_full | Theory of nonequilibrium superconductivity Nikolai B. Kopnin |
| title_fullStr | Theory of nonequilibrium superconductivity Nikolai B. Kopnin |
| title_full_unstemmed | Theory of nonequilibrium superconductivity Nikolai B. Kopnin |
| title_short | Theory of nonequilibrium superconductivity |
| title_sort | theory of nonequilibrium superconductivity |
| topic | Supraleitung (DE-588)4058651-0 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd |
| topic_facet | Supraleitung Nichtgleichgewicht |
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