Introduction to modern solid state physics

I Basic concepts......Page 9
Periodicity: Crystal Structures......Page 11
The Reciprocal Lattice......Page 16
X-Ray Diffraction in Periodic Structures......Page 18
Problems......Page 26
Interactions Between Atoms......Page 29
Lattice Vibrations......Page 31
Quantum Mechanics of Atomic Vibrations......Page 46
Phonon Dispersion Measurement......Page 51
Problems......Page 52
Electron in a Periodic Field......Page 53
Electron in a Periodic Potential......Page 54
Tight Binding Approximation......Page 55
The Model of Near Free Electrons......Page 58
Effective Mass......Page 60
Wannier Theorem  Effective Mass Approach......Page 61
Electric current in a Bloch State. Concept of Holes.......Page 62
Classification of Materials......Page 63
Classical Mechanics......Page 65
Quantum Mechanics of Bloch Electron......Page 71
Second Quantization of Bosons and Electrons......Page 73
Problems......Page 75
II Normal metals and semiconductors......Page 77
Specific Heat of Crystal Lattice......Page 79
Statistics of Electrons in Solids......Page 83
Specific Heat of the Electron System......Page 88
Magnetic Properties of Electron Gas.......Page 89
Problems......Page 99
Summary of basic concepts......Page 101
The Boltzmann Equation for Electrons......Page 105
Conductivity and Thermoelectric Phenomena.......Page 109
Energy Transport......Page 114
Neutral and Ionized Impurities......Page 117
Electron-Electron Scattering......Page 120
Scattering by Lattice Vibrations......Page 122
Electron-Phonon Interaction in Semiconductors......Page 133
Galvano- and Thermomagnetic .. .......Page 138
Shubnikov-de Haas effect......Page 148
Response to ``slow'' perturbations......Page 150
``Hot'' electrons......Page 153
Impact ionization......Page 156
Few Words About Phonon Kinetics.......Page 158
Problems......Page 160
Skin Effect.......Page 163
Cyclotron Resonance......Page 166
Time and Spatial Dispersion......Page 173
... Waves in a Magnetic Field......Page 176
Problems......Page 177
Landau Attenuation.......Page 179
Geometric Oscillations......Page 181
Giant Quantum Oscillations.......Page 182
Acoustical properties of semicondictors......Page 183
Problems......Page 188
Preliminary discussion......Page 189
Photon-Material Interaction......Page 190
Microscopic single-electron theory......Page 197
Selection rules......Page 199
Intraband Transitions......Page 206
Excitons......Page 210
Excitonic states in semiconductors......Page 211
Excitonic effects in optical properties......Page 213
Excitonic states in quantum wells......Page 214
Impurity states......Page 219
Localization of electronic states......Page 223
Impurity band for lightly doped semiconductors.......Page 227
AC conductance due to localized states......Page 233
Interband light absorption......Page 240
III  Basics of quantum transport......Page 245
Two-Dimensional Electron Gas......Page 247
Basic Properties......Page 248
Degenerate and non-degenerate electron gas......Page 258
Relevant length scales......Page 259
Landauer formula......Page 263
Application of Landauer formula......Page 268
Additional aspects of ballistic transport......Page 273
e-e interaction in ballistic systems......Page 274
Tunneling......Page 281
Coulomb blockade......Page 285
Integer Quantum Hall effect - General Picture......Page 293
Edge Channels and Adiabatic Transport......Page 297
Fractional Quantum Hall Effect......Page 302
IV Superconductivity......Page 315
General properties.......Page 317
Thermodynamics in a Magnetic Field.......Page 321
Penetration Depth......Page 322
...Arbitrary Shape......Page 326
The Nature of the Surface Energy.......Page 336
Problems......Page 337
Magnetization Curve for a Long Cylinder......Page 339
Microscopic Structure of the Mixed State......Page 343
Magnetization curves.......Page 351
Non-Equilibrium Properties. Pinning.......Page 355
Problems......Page 360
Phonon-Mediated Attraction......Page 361
Cooper Pairs......Page 363
Energy Spectrum......Page 365
Temperature Dependence .........Page 368
Thermodynamics of a Superconductor......Page 370
Electromagnetic Response .........Page 372
Kinetics of Superconductors......Page 377
Problems......Page 384
Ginzburg-Landau Equations......Page 385
Applications of the GL Theory......Page 390
N-S Boundary......Page 396
One-Particle Tunnel Current......Page 399
Josephson Effect......Page 403
Josephson Effect in a Magnetic Field......Page 405
Non-Stationary Josephson Effect......Page 410
Wave in Josephson Junctions......Page 413
Problems......Page 415
Introduction......Page 417
Bogoliubov-de Gennes equation......Page 418
N-S interface......Page 420
Andreev levels and Josephson effect......Page 429
Superconducting nanoparticles......Page 433
V Appendices......Page 439
Solutions of the Problems......Page 441
Band structure of semiconductors......Page 459
Symmetry of the band edge states......Page 464
Modifications in heterostructures.......Page 465
Impurity states......Page 466
Application of the Poisson summation formula......Page 473
Vector and Matrix Relations......Page 475