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Preface to the second edition
Preface to the first edition
1 Electrons in One-Dimensional Periodic Potentials
1£®1 The Bloch Theorem for One-Dimensional Periodicity
1£®2 Energy Levels of a Single Quantum Well and of a Periodic Array of Quantum Wells
1£®3 Transfer Matrix£¬ Resonant Tunneling£¬ and Energy Bands
1£®4 The Tight-Binding Model
1£®5 Plane Waves and Nearly Free-Electron Model
1£®6 Some Dynamical Aspects of Electrons in Band Theory
Appendix A£® Solved Problems and Complements
Further Reading

2 Geometrical Description of Crystals£º Direct and Reciprocal Lattices
2£®1 Simple Lattices and Composite Lattices
2£®2 Geometrical Description of Some Crystal Structures
2£®3 Wigner-Seitz Primitive Cells
2£®4 Reciprocal Lattices
2£®5 Brillouin Zones
2£®6 Translational Symmetry and Quantum Mechanical Aspects
2£®7 Density-of-States and Critical Points
Further Reading

3 The Sommerfeld Free-Electron Theory of Metals
3£®1 Quantum Theory of the Free-Electron Gas
3£®2 Fermi-Dirac Distribution Function and Chemical Potential
3£®3 Electronic Specific Heat in Metals and Thermodynamic Functions
3£®4 Thermionic Emission from Metals
Appendix A£® Outline of Statistical Physics and Thermodynamic Relations
Appendix B£® Fermi-Dirac and Bose-Einstein Statistics for Independent Particles
Appendix C£® Modified Fermi-Dirac Statistics in a Model of Correlation Effects
Further Reading

4 The One-Electron Approximation and Beyond
4£®1 Introductory Remarks on the Many-Electron Problem
4£®2 The Hartree Equations
4£®3 Identical Particles and Determinantal Wavefunctions
4£®4 Matrix Elements Between Determinantal States
4£®5 The Hartree-Fock Equations
4£®6 Overview of Approaches Beyond the One-Electron Approximation
4£®7 Electronic Properties and Phase Diagram of the Homogeneous Electron Gas
4£®8 The Density Functional Theory and the Kohn-Sham Equations
Appendix A£® Bielectronic Integrals Among Spin Orbitals
Appendix B£® Outline of Second Quantization Formalism for Identical Fermions
Appendix C£® An Integral on the Fermi Sphere
Further Reading

5 Band Theory of Crystals
5£®1 Basic Assumptions of the Band Theory
5£®2 The Tight-Binding Method £¨LCAO Method£©
5£®3 The Orthogonalized Plane Wave £¨OPW£© Method
5£®4 The Pseudopotential Method
5£®5 The Cellular Method
5£®6 The Augmented Plane Wave £¨APW£© Method
5£®7 The Green's Function Method £¨KKR Method£©
5£®8 Iterative Methods in Electronic Structure Calculations
Appendix A£® Matrix Elements of the Augmented Plane Wave Method
Appendix B£® Solved Problems and Complements
Appendix C£® Evaluation of the Structure Coefficients of the KKR Method with the Ewald Procedure
Further Reading

6 Electronic Properties of Selected Crystals
6£®1 Band Structure and Cohesive Energy of Rare-Gas Solids
6£®2 Electronic Properties of Ionic Crystals
6£®3 Covalent Crystals with Diamond Structure
6£®4 Band Structures and Fermi Surfaces of Some Metals
6£®5 Carbon-Based Materials and Electronic Structure of Graphene
Appendix A£® Solved Problems and Complements
Further Reading

7 Excitons£¬ Plasmons£¬ and Dielectric Screening in Crystals
7£®1 Exciton States in Crystals
7£®2 Plasmon Excitations in Crystals
7£®3 Static Dielectric Screening in Metals within the Thomas-Fermi Model
7£®4 The Longitudinal Dielectric Function within the Linear Response Theory
7£®5 Dielectric Screening within the Lindhard Model
7£®6 Quantum Expression of the Longitudinal Dielectric Function in Crystals
7£®7 Surface Plasmons and Surface Polaritons
Appendix A£® Friedel Sum Rule and Fumi Theorem
Appendix B£® Quantum Expression of the Longitudinal Dielectric Function in Materials with the Linear Response Theory
Appendix C£® Lindhard Dielectric Function for the Free-Electron Gas
Appendix D£® Quantum Expression of the Transverse Dielectric Function in Materials with the Linear Response Theory
Further Reading

8 Interacting Electronic-Nuclear Systems and the Adiabatic Principle
8£®1 Interacting Electronic-Nuclear Systems and Adiabatic Potential-Energy Surfaces
8£®2 Non-Degenerate Adiabatic Surface and Nuclear Dynamics
8£®3 Degenerate Adiabatic Surfaces and Jahn-Teller Systems
8£®4 The Hellmann-Feynman Theorem and Electronic-Nuclear Systems
8£®5 Parametric Hamiltonians and Berry Phase
8£®6 The Berry Phase Theory of the Macroscopic Electric Polarization in Crystals
Appendix A£® Simplified Evaluation of Typical Jahn-Teller and Rermer-Teller Matrices
Appendix B£® Solved Problems and Complements
Further Reading

9 Lattice Dynamics of Crystals
9£®1 Dynamics of Monoatomic One-Dimensional Lattices
9£®2 Dynamics of Diatomic One-Dimensional Lattices
9£®3 Dynamics of General Three-Dimensional Crystals
9£®4 Quantum Theory of the Harmonic Crystal
9£®5 Lattice Heat Capacity£® Einstein and Debye Models
9£®6 Considerations on Anharmonic Effects and Melting of Solids
9£®7 Optical Phonons and Polaritons in Polar Crystals
Appendix A£® Quantum Theory of the Linear Harmonic Oscillator
Further Reading

10 Scattering of Particles by Crystals
10£®1 General Considerations
10£®2 Elastic Scattering of X-rays from Crystals and the Thomson Approximation
10£®3 Compton Scattering and Electron Momentum Density
10£®4 Inelastic Scattering of Particles and Phonons Spectra of Crystals
10£®5 Quantum Theory of Elastic and Inelastic Scattering of Neutrons
10£®6 Dynamical Structure Factor for Harmonic Displacements and Debye-Waller Factor
10£®7 M0ssbauer Effect
Appendix A£® Solved Problems and Complements
Further Reading

11 Optical and Transport Properties of Metals
11£®1 Macroscopic Theory of Optical Constants in Homogeneous Materials
11£®2 The Drude Theory of the Optical Properties of Free Carriers
11£®3 Transport Properties and Boltzmann Equation
11£®4 Static and Dynamic Conductivity in Metals
11£®5 Boltzmann Treatment and Quantum Treatment of lntraband Transitions
11£®6 The Boltzmann Equation in Electric Fields and Temperature Gradients
Appendix A£® Solved Problems and Complements
Further Reading

12 Optical Properties of Semiconductors and Insulators
12£®1 Transverse Dielectric Function and Optical Constants in Homogeneous Media
12£®2 Quantum Theory of Band-to-Band Optical Transitions and Critical Points
12£®3 Indirect Phonon-Assisted Transitions
12£®4 Two-Photon Absorption
12£®5 Exciton Effects on the Optical Properties
12£®6 Fano Resonances and Absorption Lineshapes
12£®7 Optical Properties of Vibronic Systems
Appendix A£® Transitions Rates at First and Higher Orders of Perturbation Theory
Appendix B£® Optical Constants£¬ Green's Function and Kubo-Greenwood Relation
Further Reading

13 Transport in Intrinsic and Homogeneously Doped Semiconductors
13£®1 Fermi Level and Carrier Density in Intrinsic Semiconductors
13£®2 Impurity Levels in Semiconductors
13£®3 Fermi Level and Carder Density in Doped Semiconductors
13£®4 Non£®Equilibrium Carrier Distributions
13£®5 Generation and Recombination of Electron-Hole Pairs in Doped Semiconductors
Appendix A£® Solutions of Typical Transport Equations in Uniformly Doped Semiconductors
Further Reading

14 Transport in Inhomogeneous Semiconductors
14£®1 Properties of the p-n Junction at Equilibrium
14£®2 Current-Voltage Characteristics of the p-n Junction
14£®3 The Bipolar Junction Transistor
14£®4 Semiconductor Heterojunctions
14£®5 Metal-Semiconductor Contacts
14£®6 Metal-Oxide-Semiconductor Structure
14£®7 Metal-Oxide-Semiconductor Field-Effect Transistor £¨MOSFET£©
Further Reading

15 Electron Gas in Magnetic Fields
15£®1 Magnetization and Magnetic Susceptibility
15£®2 Energy Levels and Density-of-States of a Free Electron Gas in Magnetic Fields
15£®3 Landau Diamagnetism and de Haas-van Alphen Effect
15£®4 Spin Paramagnetism of a Free-Electron Gas
15£®5 Magnetoresistivity and Classical Hall Effect
15£®6 Quantum Hall Effects
Appendix A£® Solved Problems and Complements
Further Reading

16 Magnetic Properties of Localized Systems and Kondo Impurities
16£®1 Quantum Mechanical Treatment of Magnetic Susceptibility
16£®2 Permanent Magnetic Dipoles in Atoms or Ions with Partially Filled Shells
16£®3 Paramagnetism of Localized Magnetic Moments
16£®4 Localized Magnetic States in Normal Metals
16£®5 Dilute Magnetic Alloys and the Resistance Minimum Phenomenon
16£®6 Magnetic Impurity in Normal Metals at Very Low Temperatures
Further Reading

17 Magnetic Ordering in Crystals
17£®1 Ferromagnetism and the Weiss Molecular Field
17£®2 Microscopic Origin of the Coupling Between Localized Magnetic Moments
17£®3 Antiferromagnetism in the Mean Field Approximation
17£®4 Spin Waves and Magnons in Ferromagnetic Crystals
17£®5 The lsing Model with the Transfer Matrix Method
17£®6 The Ising Model with the Renormalization Group Theory
17£®7 Itinerant Magnetism
Appendix A£® Solved Problems and Complements
Further Reading

18 Superconductivity
18£®1 Some Phenomenological Aspects of Superconductors
18£®2 The Cooper Pair Idea
18£®3 Ground State for a Superconductor in the BCS Theory at Zero Temperature
18£®4 Excited States of Superconductors at Zero Temperature
18£®5 Treatment of Superconductors at Finite Temperature and Heat Capacity
18£®6 The Phenomenological London Model for Superconductors
18£®7 Macroscopic Quantum Phenomena
18£®8 Tunneling Effects
Appendix A£® The Phonon-lnduced Electron-Electron Interaction
Further Reading
Index