Solid state physics /
Solid State Physics is a textbook for students of physics, material science, chemistry, and engineering. It is the state-of-the-art presentation of the theoretical foundations and application of the quantum structure of matter and materials. This second edition provides timely coverage of the most i...
Clasificación: | Libro Electrónico |
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Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Oxford :
Elsevier Science,
2014.
|
Edición: | Second edition. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 Renner-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. Mossbauer 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 Intraband 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 Carrier 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 Ising 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-Induced Electron-Electron Interaction
- Further Reading.