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ОбложкаPhillips Ph.W. Advanced solid state physics. - 2nd ed. - Cambridge; New York: Cambridge University Press, 2012. - xii, 402 p.: ill. - Incl. bibl. ref. - Ind.: p.400-402. - ISBN 978-0-521-19490-7
(И/В37-Р56) 02
 

Место хранения: 02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents
 
 
Preface ......................................................... xi

1  Introduction .................................................. 1
   1.1  Spontaneously broken symmetry ............................ 1
   1.2  Tracking broken symmetry: order parameter ................ 4
   1.3  Beyond broken symmetry ................................... 7
   References .................................................... 9
2  Non-interacting electron gas ................................. 10
   Problems ..................................................... 15
3  Born-Oppenheimer approximation ............................... 16
   3.1  Basic Hamiltonian ....................................... 16
   3.2  Adiabatic approximation ................................. 17
   3.3  Tight-binding approximation ............................. 20
   Problem ...................................................... 22
   References ................................................... 23
4  Second quantization .......................................... 24
   4.1  Bosons .................................................. 24
   4.2  Fermions ................................................ 26
   4.3  Fermion operators ....................................... 27
   Problems ..................................................... 30
   References ................................................... 30
5  Hartree-Fock approximation ................................... 31
   5.1  Non-interacting limit ................................... 31
   5.2  Hartree-Fock approximation .............................. 33
   5.3  Diagrams ................................................ 35
   Problem ...................................................... 36
   References ................................................... 36
6  Interacting electron gas ..................................... 37
   6.1  Uniform electron gas .................................... 38
   6.2  Hartree-Fock excitation spectrum ........................ 40
   6.3   Cohesive energy of metals .............................. 42
   Summary ...................................................... 48
   Problems ..................................................... 48
   References ................................................... 49
7  Local magnetic moments in metals ............................. 51
   7.1  Local moments: phenomenology ............................ 51
   7.2  Impurity density of states .............................. 54
   7.3  Green functions ......................................... 60
   7.4  Friedel's sum rule and local moments .................... 70
   Summary ...................................................... 74
   Appendix to Chapter 7: Luttinger's theorem ................... 74
   Problems ..................................................... 79
   References ................................................... 79
8  Quenching of local moments: the Kondo problem ................ 80
   8.1  The Kondo Hamiltonian ................................... 82
   8.2  Why is J negative? ...................................... 83
   8.3  Scattering and the resistivity minimum .................. 87
   8.4  Electron-impurity scattering amplitudes ................. 94
   8.5  Kondo temperature ....................................... 99
   8.6  Poor Man's scaling ..................................... 102
   Summary ..................................................... 109
   Appendix to Chapter 8: the Schrieffer-Wolff transformation .. 109
   Problems .................................................... 113
   References .................................................. 114
9  Screening and plasmons ...................................... 115
   9.1  Thomas-Fermi screening ................................. 115
   9.2  Plasma oscillations and collective coordinates ......... 117
   9.3  Linear response theory ................................. 122
   9.4  Dielectric response function ........................... 127
   9.5  Kubo formula: electrical conductivity .................. 137
   9.6  Stopping power of a plasma ............................. 140
   Summary ..................................................... 143
   Problems .................................................... 144
   References .................................................. 145
10 Bosonization ................................................ 146
   10.1 Luttinger liquid ....................................... 146
   10.2 Bosonization of Luttinger model ........................ 151
   10.3 Pair binding: can electrons do it alone? ............... 160
   10.4 Excitation spectrum .................................... 162
   Summary ..................................................... 167
   Problems .................................................... 167
   References .................................................. 168
11 Electron-lattice interactions ............................... 169
   11.1 Harmonic chain ......................................... 169
   11.2 Acoustic phonons ....................................... 171
   11.3 Electron-phonon interaction ............................ 172
   11.4 Ultrasonic attenuation ................................. 176
   11.5 Electrical conduction .................................. 178
   Summary ..................................................... 187
   Problems .................................................... 187
   References .................................................. 188
12 Superconductivity in metals ................................. 189
   12.1 Superconductivity: phenomenology ....................... 189
   12.2 Electron-phonon effective interaction .................. 197
   12.3 Model interaction ...................................... 199
   12.4 Cooper pairs ........................................... 201
   12.5 Fermi liquid theory .................................... 205
   12.6 Pair amplitude ......................................... 216
   12.7 BCS ground state ....................................... 221
   12.8 Pair fluctuations ...................................... 224
   12.9 Ground state energy .................................... 226
   12.10 Critical magnetic field ............................... 229
   12.11 Energy gap ............................................ 231
   12.12 Quasi-particle excitations ............................ 233
   12.13 Thermodynamics ........................................ 237
   12.14 Experimental applications ............................. 241
   12.15 Josephson tunneling ................................... 253
   Summary ..................................................... 255
   Problems .................................................... 255
   References .................................................. 257
13 Disorder: localization and exceptions ....................... 258
   13.1 Primer on localization ................................. 259
   13.2 Return probability: localization criterion ............. 261
   13.3 Weak localization ...................................... 264
   13.4 Scaling theory ......................................... 269
   13.5 Exceptions to localization ............................. 275
   Summary ..................................................... 285
   Problems .................................................... 286
   References .................................................. 287
14 Quantum phase transitions ................................... 289
   14.1 Quantum rotor model .................................... 291
   14.2 Scaling ................................................ 293
   14.3 Mean-field solution .................................... 296
   14.4 Landau-Ginsburg theory ................................. 302
   14.5 Transport properties ................................... 306
   14.6 Experiments ............................................ 308
   14.7 Scaling and T-linear resistivity ....................... 310
   Problems .................................................... 314
   References .................................................. 314
15 Quantum Hall and other topological states ................... 317
   15.1 What is the quantum Hall effect? ....................... 317
   15.2 Landau levels .......................................... 320
   15.3 The role of disorder ................................... 324
   15.4 Currents at the edge ................................... 326
   15.5 Topological insulators ................................. 330
   15.6 Laughlin liquid ........................................ 343
   Summary ..................................................... 349
   Problems .................................................... 349
   References .................................................. 350
16 Electrons at strong coupling: Mottness ...................... 353
   16.1 Band insulator ......................................... 354
   16.2 Mott's problem ......................................... 357
   16.3 Much ado about zeros: Luttinger surface ................ 363
   16.4 Beyond the atomic limit: Heisenberg versus Slater ...... 368
   16.5 Dynamical spectral weight transfer ..................... 380
   16.6 Epilogue: 1 = 2 - 1 .................................... 396
   Problems .................................................... 397
   References .................................................. 398
   
Index .......................................................... 400

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