Gulian A.M., Zharkov G.F. Nonequilibrium Electrons and Phonons in Superconductors
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Index
Abrikosov vortices
lattice melting, 175
viscous flow, 175-180
vortex-antivortex generation, 379-384
Aharonov-Bohm effect, 2
Analytical continuation, 55, 57, 76, 96, 108
Anderson theorem, 47
Andreev reflection, 6
BCS model, 21, 26
Bean-Livingston barrier, 365
Bethe-Salpeter technique, 202
Bogolyubov-De-Gennes equations, 5
Born approximation, 43
Canonical collision integral
electron-electron, 100
electron-phonon, 115
electron-photon, 129
phonon-electron, 117
Carlson-Goldman modes, 201
Causality principle, nonlinear, 55
Channel
recombination, 143
relaxation, 143, 146
Coherence
factors, 8, 323
length, 13
Coherent generation
phonons, 335-342
photons, 342-346
Collision integral
effective, 94
non-diagonal channel, 93
mutilated, 358
Collision integral (cont.)
-approximation, 301
Conductivity
dispersion, 350
excess, 289, 290
ideal, 1
normal metal, 168
vortex flow, 176, 179
Density of states
electrons, normal metals, 7
quasi-particles, BCS, 8
phonons, 165, 294
Detailed equilibrium violation, 147
Effective charge, of quasi-particles, 6
Electron-hole distribution, equilibrium, 28
Electron-phonon interaction
constant, dimensionless, 70
Fröhlich Hamiltonian, 69
spectral function, 294, 318
two peak approximation, 320
Elementary acts, essence, 102
Eliashberg kinetic equations
analytically continued, 77, 79
Keldysh representation, 152
Matsubara representation, 71
Energy gap
BCS self-consistency equation, 28, 123, 259
enhancement: see Order parameter
enhancement
Ginzburg-Landau regime, 161, 209
weak coupling ratio 2 29
Equivalent mass approach, 3
Excitation source, 121, 123, 133, 257
Excitation spectrum, 3
391
392 INDEX
Fluctuations, 180-189,305
Flux quantum, 20, 366
Free energy, 9, 180, 368
Gap-control term, 156, 303
Gap suppression
gauge-invariant potential, 161, 209
paramagnetic impurities, 53
Gauge invariant potential
definition, 168, 196
quantum oscillations, 262
Gauge transformations, 26, 27, 83-85
Gigantic flux puzzle, 354, 355, 385-387
Ginzburg-Landau equations
static, 11
time-dependent, 63, 64, 160, 170, 173, 176
Ginzburg-Landau parameter, 14
Ginzburg’s number, 182
Green’s functions: see Propagators
Gor’kov equations, 23, 24
Instability
branch imbalance, 208-210
coherent, 317
inverse population, 300, 340
paramagnetic, 309
phonon, 335
photon, 342
superfluid velocity, 339
Interference current
junctions, 258
paradox, 286-289
TDGL scheme, 165-173
Inverse population, 317
Isotope effect, 26
Josephson effects, 255
Kinetic equations
junctions, 259
spatially inhomogeneous, 355-357
spatially homogeneous, 91
stationary, 121, 123
time-dependent, 152, 357
Klein paradox, 6
Kondo-effect, 43
Langrangian, magnetic field, 5
Local equilibrium approximation, 157
Londons’ equation, 2
Longitudinal electric field, 195-198
Maxwell equations, 173, 174
Meissner effect, 2
Microrefrigeration, 282-284
Migdal-Eliashberg equations, 69-71
Nondiagonal channel: see Collision integral
Nonequilibrium distributions
asymmetric junction, 331
narrow source, 326
subthreshold tunneling, 276
superthreshold tunneling, 277
UHF field, 124
wide source, 296, 297, 320
Normal metal-superconductor
boundary motion, 308
phase separation threshold, 297
surface energy, 14-16
Normalization condition
quasi-particle distribution, 294
propagators, 152, 153
Numerical solution
tunnel junctions, 276-278
phase-slip centers, 223-237, 243-248
inverse population, 321-325
Order parameter
definition, 24, 61, 92, 153
dynamic suppression, 120
enhancement, 119, 125
multiple valued, 277, 281, 297, 333
stability, 298-300
Pair field
quantum correlations, 54
self-consistent, 29
Paraconductivity mechanism
Aslamazov-Larkin, 185-187
Maki-Thompson, 187-189
Pauli matrices, 24
Penetration depth
London, 12
electric field, 198, 199
Pethick-Smith effect, 355
Phase-slip centers
boundary conditions, 218, 219
Galayko model, 233-240
radiation, electromagnetic, 248
radiation, phonon, 252
INDEX 393
Phase-slip centers (cont.)
single center, 224
two centers, 231
Phonon heat-bath, 72, 74
Phonon deficit effect
tunnel junctions, 278, 279-280
UHF field, 139
Photoinduced potential, 312-315
Polarization operators, 74, 103-113
Propagators
Eilenberger, energy integrated, 81
Keldysh, 79
Matsubara, 27
off-diagonal, 22
Relaxation-time approximation: see
Satellites, 269
Scattering
“in” and “out”, 319, 358
non-magnetic impurities, 41
spin-flip, 49
Seebeck coefficient
Fermi liquid, 350
superconductor, 351
Self-consistency equation: see Energy gap
Self-energy parts
electron-electron, 95
electron-impurity, 93
electron-phonon, 113
Self-energy parts (cont.)
electron-photon, 128
tunneling, 256
Spectral functions, 82
Superconductors
gapless, 54
high-temperature, 26, 175, 252, 321
usual, 26
Type I, 16, 311
Type II, 16, 19, 175,311
Superheating
laser irradiation, 311
magnetic field, 16
TDGL, see also Ginzburg-Landau equations,
time-dependent
finite gap, complete form, 160, 172, 173
dimensionless, 216
nonsingular representation, 220
Thermopower
normal metal, 350
superconductors, normal component, 351
superconductors, incomplete cancellation, 353
superconductors, optical pumping, 360, 361
Tinkham-Clark potential, 195, 260; see also
Gauge invariant potential
Tunnel frequency, 256
Usadel approximation, 165
van der Waals isotherm, analogy with, 334
Wall-like solutions, 307; see also Normal
metal-superconductor, boundary
motion
Zitterbewegung, 5
-approximation