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�� 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