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Solid state physics /

by Grosso, Giuseppe [author.]; Pastori Parravicini, Giuseppe [author.].
Material type: materialTypeLabelBookPublisher: Oxford : Elsevier Science, 2014.Edition: Second edition.Description: 1 online resource (xiv, 857 pages) : illustrations.ISBN: 9780123850317; 0123850312.Subject(s): Solid state physics | SCIENCE -- Physics -- Electricity | SCIENCE -- Physics -- Electromagnetism | Solid state physicsGenre/Form: Electronic books. | Electronic books.DDC classification: 537.622 Online resources: ScienceDirect
Contents:
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.
Summary: 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 important scientific breakthroughs of the last decade (especially in low-dimensional systems and quantum transport). It helps build readers' understanding of the newest advances in condensed matter physics with rigorous yet clear mathematics.
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Text in English.

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 important scientific breakthroughs of the last decade (especially in low-dimensional systems and quantum transport). It helps build readers' understanding of the newest advances in condensed matter physics with rigorous yet clear mathematics.

Print version record.

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.

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