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| Phillips P. — Advanced Solid State Physics |
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| Предметный указатель |
 -space 216
Abrikosov vortex lattice 207
Acoustic phonons 178-179 294
Alkalis 42
Alkalis, cohesive energy of 43-45
Alkalis, kinetic energy of 43-45
Altshuler, Maslov, and Pudalov (AMP) model 310
Ampere's law 243
And perturbation theory 47
Anderson impurity and on-site repulsion 151
Anderson localization see Anderson transition
Anderson model 53-56 68 72 73 75 77
Anderson model, equivalence of, with Kondo model 78
Anderson transition 277-285 310
Anisotropic transport 371
Anticommutation relations 20 30
Antiferromagnetic double occupancy 69
Antiferromagnetic interaction 69 73 75-77 94 97 102
Antiferromagnetic pairs 165
Anyons 370
Backscattering 291 293 294 296-297
Baker - Hausdorff identity 160
Baker - Hausdorff identity, third form of 168
Bardeen - Cooper - Schrieffer (BCS) theory 205 228 230 246
Bardeen - Cooper - Schrieffer (BCS) theory, acceptance of 256
Bardeen - Cooper - Schrieffer (BCS) theory, advantages of 256
Bardeen - Cooper - Schrieffer (BCS) theory, and Cooper pairs 210
Bardeen - Cooper - Schrieffer (BCS) theory, and electromagnetic absorption 256-260
Bardeen - Cooper - Schrieffer (BCS) theory, and electron attraction 216
Bardeen - Cooper - Schrieffer (BCS) theory, and pair amplitude 233
Bardeen - Cooper - Schrieffer (BCS) theory, and pairing hypothesis 256
Bardeen - Cooper - Schrieffer (BCS) theory, assumption of 228
Bardeen - Cooper - Schrieffer (BCS) theory, attractive interaction in 217
Bardeen - Cooper - Schrieffer (BCS) theory, ground state 234-237 247 249
Bardeen - Cooper - Schrieffer (BCS) theory, Hamiltonian 249
Bardeen - Cooper - Schrieffer (BCS) theory, model potential 246
Bardeen - Cooper - Schrieffer (BCS) theory, quasi-particle 251
Bardeen - Cooper - Schrieffer (BCS) theory, spin-lattice relaxation rate in 266-271
Bardeen - Cooper - Schrieffer (BCS) theory, superconductor 251
Bardeen-Cooper-Schrieffer (BCS) theory, ultrasonic attenuation in 260-266
Bare potential 64
Beta-function 104 287 295
Bloch assumption 190
Bohm - Staver result 202
Bohr magneton 267
Bohr radius 356
Bohr radius, definition of 3
Boltzmann equation 87 187 292
Boltzmann transport limit 292
Boltzmann transport theory 187-196 280
Born - Oppenheimer approximation 9-14
Bose - Einstein condensation 205
Bose - Einstein distribution function 185
Bose - Hubbard model 323
Bose basis 157
Bose commutation relations and change fields 164
Bose commutation relations and spin field 164
Bose metal 341-342
Bose statistics 205
Bose statistics, and commutation relations 155
Bose statistics, and harmonic excitations 149
Bose statistics, of fermion currents 157
Boson fields 156 157 158 160 164
Boson fields, and fermion fields 157
Boson fields, charge 164-165
Boson fields, spin 164-165
Bosonization 149 152 157 160 161 165 167
Bosonization, and fermion fields 161
Bosonization, and field operators 162
Bosonization, and Klein factors 159
Bosonization, utility of 164
Bosons 157 158 163 168
Bosons,  -particle state 18
Bosons, and electrons 158
Bosons, field theory of 149
Bosons, harmonic-chain and Hamiltonians 177
Bosons, interchange 369-370
Bosons, operators 19
Bosons, system 17
Bound state 96 97
Brillouin - Wigner theory 61
Cayley tree 284
Center of mass, momentum 223
Center of mass, Schr dinger equation 220
Cesium 3
Chalker - Coddington tunneling network model 364
Chiral Luttinger-liquid model 369
Chirality of edge currents 360-361 369
Classical heat capacity 8
Coherence factors 234
Condensation energy 243
Conductance 286-291
Conductance, approximating relaxation-time 190-191
Conductance, Drude formula 186-187
Conductance, in metals 186-196
Conductance, relaxation-time approximation 199
Conductivity see Conductance
Conductivity exponent 290
Cooper bound state energy 230
Cooper instability 223 224 228
Cooper pair problem 221
Cooper pairs 205-206 210 219-223 271 272 305-308 312 342-345
Cooper pairs, in singlet channel 248
Cooper pairs, pair amplitude see Pair amplitude
Cooper pairs, pair-binding energy of 223
Cooper pairs, problem 221
Cooper pairs, radius of gyration of 223
Cooper pairs, singlet 251
Cooper problem 224 230 245
Correlation energy 48
correlation length 309
Coulomb energy 44-45 151 366 369
Coulomb energy, at Hartree - Fock level 44
Coulomb energy, electron-electron 42 44
Coulomb energy, energy of Wigner solid and 45
Coulomb integrals 219
Coulomb interactions 43 75 149 165 172 217 371
Coulomb interactions, direct 30
Coulomb interactions, two-electron 32-33
Coulomb potential 41 226
Coulomb potential, Fourier transform 225
Coulomb repulsion 37 45 59 63 69 77 94
Coulomb repulsion, between electrons 54-55
Coulomb's law 167
Critical magnetic field 243-244
Critical points 324
Curie law for free magnetic moments 71
dc Josephson effect 271
Debye energy 217
Density of states 60-63 69
Density of states, and average occupation 65
Density of states, and Kondo temperature 97
Density of states, and relaxation time 195
Density of states, and resonance peak 94
Density of states, as constant 96
Density of states, at Fermi level 93
Density of states, per unit energy 68
Density of states, single-particle 5-6 78
Density of states, single-spin electron 82
Density response 125-127
Density response, Fourier transform for 127
Density response, Hamiltonian for 126
Density response, Heisenberg equation of motion and 126
Density response, Thomas - Fermi screening and 127
Dephasing length 294 296
Dephasing time 299
Dielectrical-response function 127-130 138-141
Dielectrical-response function, and Friedel oscillation 141
Dielectrical-response function, and Hartree - Fock theory 129
Dielectrical-response function, and Kramers - Kronig relationship 139
| Dielectrical-response function, Coulomb interaction and 128
Dielectrical-response function, Fourier transform for 128
Dielectrical-response function, random-phase approximation (RPA) for 129
Dielectrical-response function, RPA screening effects see Screening effects in random-phase approximation
Dielectrical-response function, structure function see Structure function
Dielectrical-response function, Thomas - Fermi approximation 129
Dielectrical-response function, Thomas - Fermi screening 128
Diffusion constant 304
Dirac sea 150 153 154 155 156
Dirac theory 153
Dirac's identity 91
Direct Coulomb interaction 46
Disorder and residual resistance 196
Disorder-driven insulator-metal transition see Anderson transition
Disorder-induced localization transition, controversies surrounding 277-278
Dispersion relations 151
Distribution function 5
Distribution function, definition of 2
Drift-velocity ansatz 192-193
Drude dc conductivity 280
Drude form 292
Drude formula 186-187
Eigenstates 1-2
Eigenvalue equations 96 221
Eigenvalue equations, for subsystem of two particles 219
Eigenvalue equations, nuclear and electronic 12
Einstein relationship 287
Electrogas 149
Electromagnetic absorption 256-260 261
electromagnetic field 258
Electron density 153 155 168
Electron density, and spin fields 168
Electron density, charge fields 168
Electron density, Fourier components of 149
Electron gas 153 157 167
Electron gas, bosonized view 172
Electron gas, energy of 47-48
Electron gas, Fermi-liquid theory 224
Electron gas, Hartree - Fock approximation 36
Electron gas, interacting 35-49
Electron gas, low-density 45
Electron gas, noninteracting 1-8
Electron gas, uniform 36-39
Electron gas, zero-momentum modes 158
Electron interactions 365
Electron interactions, and Coulomb direct term 36
Electron number density 200
Electron spin resonance (ESR) 53
Electron-electron interaction 217 226
Electron-electron repulsion 217
Electron-electron scattering 298
Electron-hole pair 213
Electron-ion potential 180
Electron-ion wave function 12
Electron-nucleus interaction series 269
Electron-phonon coupling constant 180
Electron-phonon coupling interaction 214-217
Electron-phonon Hamiltonian 182 260-261
Electron-phonon interaction 179-184
Electron-phonon interaction, phonon absorption rates of 183
Electron-phonon interaction, phonon emission rates of 184
Electron-phonon term 180
Electrons 158 159 165 167 171 172 266
Electrons in metals 1
Electrons in metals, definition of 1
Electrons, and conduction 42
Electrons, and Coulomb repulsion 45
Electrons, and edge current 360
Electrons, and exchange cloud 38
Electrons, and exchange hole 31
Electrons, and exchange interactions 31
Electrons, and flux attachment 371
Electrons, and net attraction in A>space 216
Electrons, and noninteracting problem 27
Electrons, central potential and 43
Electrons, core 9
Electrons, density of 356
Electrons, in Luttinger liquid 171
Electrons, interaction of 224
Electrons, interchange of 369-370
Electrons, kinetic energy of 11 42 43
Electrons, mass 10 39
Electrons, of like spin 38
Electrons, pair-binding of 218
Electrons, scattering of 213
Electrons, spinless 170
Electrons, valence of 10
Electrons, velocity of 9-10
Energy conservation 224 225
Energy gap 205 244-247
Entropy, calculation of low-temperature 7
Entropy, definition of 4
Entropy, low-temperature 8
Entropy, per unit volume 7
Entropy, temperature derivative of 5
Eons see Holons
Equilibrium Fermi - Dirac distribution function 188 190
Equilibrium Fermi - Dirac distribution function, and stress tensor 198
Essential tension 320-321 323
Essential tension, and Hamiltonian example 320
Exchange hole 31 38
Excitation spectrum 167-172
Excitation spectrum, and temperature dependence 171
Excitation spectrum, for noninteracting electrons 150
Exclusion principle 38 43
Extended states 300 305
Factoring, general rules for 30
Fermi - Dirac anticommutation relationships 248
Fermi - Dirac distribution 227 252 254
Fermi - Dirac distribution, definition of 4
Fermi - Dirac statistics 31
Fermi contact 266 267
Fermi distribution 85
Fermi distribution function 84 135
Fermi distribution weight factor 246
Fermi energy 39 216 223 244-245
Fermi factors 152
Fermi level 27 56 66-67 93 101 102 109 150 151 167 168 170 171 172 212 219 226 231 246 361
Fermi level, and density of states 78
Fermi level, and energy conservation 224 225
Fermi level, and Landau levels 357 359
Fermi level, and quasi-particle lifetime 224
Fermi level, and scattering rate 224-226
Fermi liquid 165 167 170
Fermi points 151
Fermi sea 94-95 219
Fermi sea, ground state 27
Fermi surface 56 81-82 91 97 103 151 219 224 227 228 230 245 246 259 264 371
Fermi surface and Cooper instability 223
Fermi surface and drift-velocity ansatz 192-193
Fermi surface and mass of electron 39
Fermi surface and phonon absorption 185-186
Fermi system 149
Fermi system, superconductivity 165
Fermi velocity 41 152 164 168 227
Fermi velocity and ion velocity 10
Fermi's golden rule 56 142 262-263
Fermi's Golden Rule and phonon absorption rates 183
Fermi's Golden Rule and phonon emission rates 184
Fermi-liquid theory 224-228 285-286 312 369
Fermi-liquid theory, quasi particles 224 226
Fermion current 157
Fermion current, conservation of 156
Fermion fields 151 157 161
Fermion fields, and boson fields 157 158
Fermion fields, Fourier components in 152
Fermion operators 20-24
Fermion operators, one- and two-body 20 22
Fermion theory and equivalent boson theory 157
fermions 162 163 165
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