Solid state physics : essential concepts / David W. Snoke.

Includes bibliographical references and index.

Electron Bands -- Where Do Bands Come From? -- Energy Splitting Due to Wavefunction Overlap -- The LCAO Approximation -- The Kronig-Penney Model -- Bloch's Theorem -- Crystals and Bravais Lattices -- X-ray Scattering -- General Properties of Bloch Functions -- Boundary Conditions in a Finite Crystal -- Density of States -- Electron Band Calculations in Three Dimensions -- How to Read a Band Diagram -- The Tight-Binding Approximation and\\ Wannier Functions -- The Nearly-Free-Electron Approximation -- \relax \mathversion bold\textit k $\cdot $ \textit p Theory -- Other Methods of Calculating Band Structure -- Bands and Molecular Bonds -- Molecular Bonds -- Classes of Electronic Structure -- Molecular Bonds and Crystal Symmetry -- Surface States and Disorder -- Bibliography .

Electronic Quasiparticles -- Quasiparticles -- Effective Mass -- Excitons -- Metals and the Fermi Gas -- Isotropic Fermi Gas at \relax \mathversion bold\em T = \relax \mathversion normal -- Fermi Gas at Finite Temperature -- Basic Behavior of Semiconductors -- Equilibrium Populations of Electrons and Holes -- Semiconductor Doping -- Equilibrium Populations in Doped Semiconductors -- The Mott Transition -- Band Bending and Heterojunctions -- Metal-to-Metal Junctions -- Doped Semiconductor Heterojunctions -- Metal-Semiconductor Heterojunctions -- Surface Band Bending -- Junctions with Undoped Semiconductors -- Quantum Confinement -- Density of States in Quantum-Confined Systems -- Superlattices

Disorder in Quantum-Confined Systems -- The Two-Dimensional Electron Gas -- Landau Levels and Quasiparticles in Magnetic Field -- Density of States of Landau Levels -- De Haas--Van Alphen and Shubnikov--De Haas\\ Oscillations -- The Integer Quantum Hall Effect -- The Fractional Quantum Hall Effect and Higher-Order Quasiparticles -- Bibliography -- Classical Waves in Anisotropic Media -- Harmonic Approximation of the Interatomic Potential -- Linear-Chain Model -- Vibrational Modes in Higher Dimensions -- Phase Velocity and Group Velocity in Anisotropic Media -- Acoustic Waves in Anisotropic Crystals .

Planck Energy Density -- Heat Capacity of Phonons -- Total Heat Capacity -- Debye-Waller Effect -- Bibliography -- Interactions of Quasiparticles -- Electron-Phonon Interactions -- Deformation Potential Scattering -- Fr\"ohlich Scattering -- Average Electron-Phonon Scattering Time -- Electron-Photon Interactions -- Optical Transitions between Semiconductor Bands -- Multipole Expansion -- Interactions with Defects; Rayleigh Scattering -- Phonon-Phonon Interactions -- Electron-Electron Interactions -- Semiclassical Estimation of Screening Length -- Average Electron-Electron Scattering Time -.

Stress and Strain Definitions; Elastic Constants -- The Christoffel Wave Equation -- Acoustic Wave Focusing -- Electromagnetic Waves in Anisotropic Crystals -- Maxwell's Equations in an Anisotropic Crystal -- Uniaxial Crystals -- The Index Ellipsoid -- Electro-Optics -- Piezoelectric Materials -- Reflection and Transmission at Interfaces -- Optical Fresnel Equations -- Acoustic Fresnel Equations -- Surface Acoustic Waves -- Photonic Crystals and Periodic Structures -- Bibliography -- Quantized Waves -- The Quantized Harmonic Oscillator -- Phonons -- Photons -- Coherent States -- Spatial Field Operators -- Electron Fermi Field Operators -- First-Order Time-Dependent Perturbation Theory -- The Quantum Fokker-Planck Equation -- Equilibrium Distributions of Quantum Particles and the H-Theorem -- Energy Density of Solids -- Density of States of Phonons and Photons .

The Relaxation-Time Approximation and the Diffusion Equation -- Thermal Conductivity -- Electrical Conductivity -- The Boltzmann Transport Equation -- Magnetoresistance -- Drift of Defects and Dislocations---Plasticity -- Bibliography -- Group Theory -- Definition of a Group -- Representations -- Character Tables -- Equating Physical States with the Basis States of Representations -- Reducing Representations -- Multiplication Rules for Outer Products -- Getting the Terminology Straight -- Allowed and Forbidden Transitions -- Group Theory in \relax \mathversion bold\em k $\cdot $ \em p Theory\relax \mathversion normal -- Second-Order Transitions -- Effects of Lowering Symmetry -- Spin and Time-Reversal Symmetry -- Bibliography -- The Complex Susceptibility -- A Microscopic View of the Dielectric Constant -- The Quantum Mechanical Oscillator -- Polaritons -- Exciton-Polaritons -- Nonlinear Optics and Photon-Photon Interactions -- Second-Harmonic Generation and Three-Wave Mixing -- Higher-Order Effects -- Acousto-Optics and Photon-Phonon Interactions -- Raman Scattering -- Bibliography -- Many-

Body Perturbation Theory -- Higher-Order Time-Dependent Perturbation Theory -- Polarons -- Shift of Bands with Temperature -- Line Broadening -- Rayleigh-Schr\"odinger Diagram Rules -- Feynman Perturbation Theory -- Diagram Rules for Feynman Perturbation Theory -- Physical Meaning of the Green's Function -- Plasmons -- The Conductor-Insulator Transition and Screening -- Exchange and Correlation Energy of Fermions -- Vacuum Energy -- Bibliography -- Coherence and Correlation -- Three Types of Coherence -- Density Matrix Formalism -- The Bloch Equations -- Magnetic Resonance -- Quantum Coherent Effects -- Correlation Functions and Noise -- Correlations in Quantum Mechanics -- Particle-Particle Correlation -- The Fluctuation-Dissipation Theorem -- Current Fluctuations and the Nyquist Formula -- The Kubo Formula and Many-Body Theory of Metals -- Mesoscopic Effects -- Spin and Magnetic Systems -- Overview of Magnetic Properties -- The Ising Model .

Zero External Magnetic Field; Spontaneous Symmetry Breaking -- External Magnetic Field; Hysteresis -- Critical Fluctuations -- Critical Exponents and Magnetic Susceptibility -- Landau Coarse Graining Theory -- Renormalization Group Methods -- Spin Waves and Goldstone Bosons -- Domains and Domain Walls -- Spin-Spin Interaction -- Ferromagnetic Instability -- Localized States and RKKY Exchange Interaction -- Spin Flip and Spin Dephasing -- What Is Spin, Anyway? -- Bibliography -- Spontaneous Coherence in Matter -- Bose-Einstein Condensation -- Theory of the Ideal Bose Gas -- The Bogoliubov Model -- The Stability of the Condensate Analogy with\\ Ferromagnets -- Bose Liquid Hydrodynamics -- Superfluids versus Condensates -- Superconductors -- Constructing Bosons from Fermions -- Cooper Pairing -- BCS Wavefunction -- Excitation Spectrum of a Superconductor -- Magnetic Effects of Superconductors -- Josephson Junctions -- Optical Coherence -- Lasing as a Phase Transition -- Excitonic Condensation -- Bibliography --

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