FROM THE BOOK

 Table of Contents

	Preface
Ch. 1	Semiclassical introduction	1
1.1	Elementary excitations	1
1.2	Phonons	4
1.3	Solitons	7
1.4	Magnons	10
1.5	Plasmons	12
1.6	Electron quasiparticles	15
1.7	The electron-phonon interaction	17
1.8	The quantum Hall effect	19
Ch. 2	Second quantization and the electron gas	26
2.1	A single electron	26
2.2	Occupation numbers	31
2.3	Second quantization for fermions	34
2.4	The electron gas and the Hartree-Fock approximation	42
2.5	Perturbation theory	50
2.6	The density operator	56
2.7	The random phase approximation and screening	60
2.8	Spin waves in the electron gas	71
Ch. 3	Boson systems	78
3.1	Second quantization for bosons	78
3.2	The harmonic oscillator	80
3.3	Quantum statistics at finite temperatures	82
3.4	Bogoliubov's theory of helium	88
3.5	Phonons in one dimension	93
3.6	Phonons in three dimensions	99
3.7	Acoustic and optical modes	102
3.8	Densities of states and the Debye model	104
3.9	Phonon interactions	107
3.10	Magnetic moments and spin	111
3.11	Magnons	117
Ch. 4	One-electron theory	125
4.1	Bloch electrons	125
4.2	Metals, insulators, and semiconductors	132
4.3	Nearly free electrons	135
4.4	Core states and the pseudopotential	143
4.5	Exact calculations, relativistic effects, and the structure factor	150
4.6	Dynamics of Bloch electrons	160
4.7	Scattering by impurities	170
4.8	Quasicrystals and glasses	174
Ch. 5	Density functional theory	182
5.1	The Hohenberg-Kohn theorem	182
5.2	The Kohn-Sham formulation	187
5.3	The local density approximation	191
5.4	Electronic structure calculations	195
5.5	The Generalized Gradient Approximation	198
5.6	More acronyms: TDDFT, CDFT, and EDFT	200
Ch. 6	Electron-phonon interactions	210
6.1	The Frohlich Hamiltonian	210
6.2	Phonon frequencies and the Kohn anomaly	213
6.3	The Peierls transition	216
6.4	Polarons and mass enhancement	219
6.5	The attractive interaction between electrons	222
6.6	The Nakajima Hamiltonian	226
Ch. 7	Superconductivity	232
7.1	The superconducting state	232
7.2	The BCS Hamiltonian	235
7.3	The Bogoliubov-Valatin transformation	237
7.4	The ground-state wave function and the energy gap	243
7.5	The transition temperature	247
7.6	Ultrasonic attenuation	252
7.7	The Meissner effect	254
7.8	Tunneling experiments	258
7.9	Flux quantization and the Josephson effect	265
7.10	The Ginzburg-Landau equations	271
7.11	High-temperature superconductivity	278
Ch. 8	Semiclassical theory of conductivity in metals	285
8.1	The Boltzmann equation	285
8.2	Calculating the conductivity of metals	288
8.3	Effects in magnetic fields	295
8.4	Inelastic scattering and the temperature dependence of resistivity	299
8.5	Thermal conductivity in metals	304
8.6	Thermoelectric effects	308
Ch. 9	Mesoscopic physics	315
9.1	Conductance quantization in quantum point contacts	315
9.2	Multi-terminal devices: the Landauer-Buttiker formalism	324
9.3	Noise in two-terminal systems	329
9.4	Weak localization	332
9.5	Coulomb blockade	336
Ch. 10	The quantum Hall effect	342
10.1	Quantized resistance and dissipationless transport	342
10.2	Two-dimensional electron gas and the integer quantum Hall effect	344
10.3	Edge states	353
10.4	The fractional quantum Hall effect	357
10.5	Quasiparticle excitations from the Laughlin state	361
10.6	Collective excitations above the Laughlin state	367
10.7	Spins	370
10.8	Composite fermions	376
Ch. 11	The Kondo effect and heavy fermions	383
11.1	Metals and magnetic impurities	383
11.2	The resistance minimum and the Kondo effect	385
11.3	Low-temperature limit of the Kondo problem	391
11.4	Heavy fermions	397
	Bibliography	405
	Index	411

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