Fundamentals of the theory of metals

목차 (Table of Contents)

• CONTENTS
• Preface = ⅴ
• Part 1. Normal Metals
• 1. An Electron in a Periodic Crystal Lattice = 3
• 1.1. General properties = 3
• 1.2. The strong - coupling approximation = 9
• 1.3. The model of weakly bound electrons = 13
• 2. The electron Fermi Liquid = 17
• 2.1. The concept of quasiparticles = 17
• 2.2. Quasiparticles in an isotropic Fermi liquid = 19
• 2.3. The anisotropic Fermi liquid = 24
• 2.4. Electronic heat capacity = 28
• 3. Electrical and Thermal Conductivity = 33
• 3.1. The electron as a wave packet = 33
• 3.2. The kinetic equation = 36
• 3.3. Electrical conductivity = 40
• 3.4. Thermal conductivity = 41
• 3.5. The concept of a mean free path = 44
• 3.6. Electrical and thermal conductivity in a gas of free electrons = 45
• 4. Scattering Processes = 47
• 4.1. Scattering by impurities = 47
• 4.2. Scattering of electrons by electrons = 49
• 4.3. Scattering by lattice vibrations = 50
• 4.4. Umklapp processes = 56
• 4.5. "Isotopic" scattering = 63
• 4.6. The Kondo effect = 66
• 5. Galvanomagnetic Properties of Metals = 75
• 5.1. The kinetic equation in the presence of a magnetic field = 75
• 5.2. Galvanomagnetic phenomena in a weak magnetic field = 80
• 5.3. Galvanomagnetic phenomena in a strong magnetic field. Closed trajectories = 83
• 5.4. Galvanomagnetic phenomena in a strong field and the topology of open Fermi surfaces = 87
• 5.5. The magenetoresistance of polycrystals = 93
• 6. Thermoelectric and Thermomagnetic Phenomena = 99
• 6.1. Thermoelectric phenomena = 99
• 6.2. Thermomagnetic phenomena in a weak field = 105
• 6.3. Thermal conductivity and thermoelectric effects in a strong magnetic field = 106
• 6.4. Thermopower and Lifshitz transitions = 111
• 7. Metals in a High - Frequency electromagnetic Field. Cyclotron Resonance = 115
• 7.1. The normal skin effect = 115
• 7.2. The anomalous skin effect. Inefficiency concept = 117
• 7.3. The anomalous skin effect. Solution of the kinetic equation = 119
• 7.4. Cyclotron resonance = 129
• 7.5. Nonlinear effects. Current states = 140
• 8. Size Effects = 145
• 8.1. Cutoff of cyclotron resonance orbits = 145
• 8.2. Internal splashes of a high - frequency field in cyclotron resonance = 147
• 8.3. Nonresonant size effect = 150
• 8.4. Nonresonant size effect in a tilted field = 152
• 8.5. The Sondheimer effect = 154
• 8.6. Drift focusing of the high - frequency field = 157
• 8.7. Size effect on open trajectories = 160
• 9. Propagation of electromagnetic Waves in the Presence of a Magnetic Field = 163
• 9.1. Helicons in metals with unequal numbers of electrons and holes = 163
• 9.2. Magnetoplasmon waves in metals with equal numbers of electrons and holes = 166
• 9.3. Experimental investigations = 163
• 10. Magnetic Susceptibility and the de Haas - van Alphen Effect = 173
• 10.1. Pauli spin paramagnetism = 173
• 10.2. Quantization of the levels of a free electron in a magnetic field = 174
• 10.3. Landau diamagnetism = 176
• 10.4. Quasiclassical quantization of the energy levels for an arbitrary spectrum = 178
• 10.5. The de Haas - van Alphen effect = 181
• 10.6. Diamagnetic domains = 190
• 10.7. Magnetic breakdown = 195
• 11. Quantum Effects in conductivity = 201
• 11.1. The Shubnikov - de Haas effect = 201
• 11.2. Cyclotron resonance on "hopping" orbits = 205
• 11.3. Interference correction to the conductivity = 209
• 11.4. Interference effects in a magnetic field = 214
• 11.5. Quantum correction to the density of states and conductivity arising from electron interaction = 218
• 11.6. Anderson localization. The metal - insulator transition = 220
• 11.7. Mesoscopics = 228
• 12. Absorption of Sound in Metals = 233
• 12.1. The absorption coefficient in the absence of a magnetic field. Low frequencies = 233
• 12.2. The absorption coefficient in the absence of a magnetic field. High frequencies = 238
• 12.3. Geometric resonance = 240
• 12.4. Magnetoacoustic resonance phenomena = 241
• 12.5. Quantitative theory of geometric resonance = 243
• 12.6. Quantitative theory of magnetoacoustic resonances = 247
• 12.7. Nonlinear absorption of sound. Effect of the magnetic field = 252
• 12.8. Giant oscillations of sound absorption due to quantization of levels in a magnetic field = 255
• 13. Fermi - Liquid Effects = 263
• 13.1. Interaction of quasiparticles = 263
• 13.2. The Landau function = 265
• 13.3. The role of the interaction of quasiparticles in paramagnetic susceptibility = 268
• 13.4. Landau quantization and quantum oscillations = 271
• 13.5. Zero (high - frequency) sound = 273
• 13.6. Spin waves = 276
• 13.7. The Kondo effect at low temperatures = 283
• 14. Methods for Calculating Electronic Spectra of Metals = 295
• 14.1. The orthogonalized plane wave method = 295
• 14.2. The pseudopotential method = 297
• 14.3. The free - electron model = 304
• 14.4. The strongly compressed matter approximation = 308
• Part Ⅱ. Superconducting Metals
• 15. Macroscopic Theory of Superconductivity = 315
• 15.1. General properties of superconductors = 315
• 15.2. Thermodynamics of the superconducting transition = 318
• 15.3. The intermediate state = 319
• 15.4. Destruction of superconducting transition = 318
• 15.5. The London equations = 329
• 16. Basic Ideas of the Microscopic Theory = 333
• 16.1. The superfluidity condition = 333
• 16.2. Phonon attraction = 334
• 16.3. Cooper pairs = 337
• 16.4. The energy spectrum = 339
• 16.5. Temperature dependence of the energy gap = 345
• 16.6. Thermodynamics of superconductors = 348
• 16.7. London and Pippard superconductors (qualitative theory) = 353
• 16.8. The Meissner effect at T＝0 = 355
• 16.9. The relationship between current and field at finite temperatures. The London limit = 361
• 16.10. The superconducting correlation and surface energy. Two types of superconductors. The role of impurities = 364
• 16.11. High - temperature superconductivity = 369
• 17. The Ginzburg - Landau Theory = 381
• 17.1. Derivation of the Ginzburg - Landau equations = 381
• 17.2. Surface energy at the interface between the normal and superconducting phases = 389
• 17.3. The critical field and magnetization of a thin film. Supercooling and superheating = 392
• 17.4. The critical current of a thin wire with $$\chi $$《1 = 397
• 17.5. Quantization of the magnetic flux = 401
• 18. Type Ⅱ Superconductivity = 407
• 18.1. Magnetic properties of type Ⅱ superconductors. The qualitative picture = 407
• 18.2. Magnetic properties of type Ⅱ superconductors. Quantitative theory for the vicinity of $$\mathop H_{c2}$$ = 410
• 18.3. Magnetic properties of type Ⅱ superconductors. Metals with $$\chi $$ 》1 = 419
• 18.4. Surface superconductivity = 428
• 18.5. Type Ⅱ superconductors at low temperatures = 434
• 18.6. A thin film of a type Ⅱ superconductor in a magnetic field = 443
• 18.7. Anisotropic type Ⅱ superconductor in a magnetic field = 449
• 18.8. Superconducting magnets. Pinning = 453
• 19. Kinetics of Superconductors = 461
• 19.1. Electronic thermal conductivity = 461
• 19.2. Thermoelectric phenomena = 465
• 19.3. The behavior of superconductors in a weak high - frequency field = 470
• 19.4. Absorption of ultrasound = 472
• 19.5. Stimulation of superconductivity by high - frequency, high - intensity field and sound = 474
• 19.6. Paraconductivity = 478
• 20. The Interface between a Superconductor and a Normal Metal = 483
• 20.1. The proximity effect = 483
• 20.2. Superconductivity of twinning planes = 489
• 20.3. Andreev reflection = 503
• 21. Superconductivity and magnetism = 509
• 21.1. Superconductors containing magnetic impurities. Gapless superconductivity = 509
• 21.2. The inhomogeneous superconducting state = 514
• 21.3. Ferromagnetic superconductors = 520
• 21.4. The Knight shift = 529
• 22. Tunnel junctions. The Josephson effect = 533
• 22.1. Single - particle tunnel current = 533
• 22.2. The Josephson effect = 539
• 22.3. Microscopic derivation of the Josephson current = 544
• 22.4. The Josephson effect in a magnetic field = 550
• 22.5. The ac Josephson effect = 555
• 22.6. Waves in the Josephson junction = 559
• 22.7. Josephson junctions with a normal metal or a semiconductor layer = 563
• 22.8. Practical applications of the Josephson effect = 566
• 22.9. The dynamical resistive state of a thin superconductor at supercritical currents = 570
• Appendix Ⅰ. The Ferromagnetic Metal Model = 581
• Appendix Ⅱ. Second - Order Phase Transitions = 587
• Appendix Ⅲ. Thermodynamics in a Magnetic Field = 599
• References = 603
• Suggested Reading = 613
• Author Index = 615
• Subject Index = 621