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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 foundatio… Read more
LIMITED OFFER
Immediately download your ebook while waiting for your print delivery. No promo code needed.
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. Examples are an integral part of the text, carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research.
Basic concepts and recent advances in the field are explained in tutorial style and organized in an intuitive manner. The book is a basic reference work for students, researchers, and lecturers in any area of solid-state physics.
Preface to the second edition
Preface to the first edition
Chapter 1. Electrons in One-Dimensional Periodic Potentials
Abstract
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
Chapter 2. Geometrical Description of Crystals: Direct and Reciprocal Lattices
Abstract
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
Chapter 3. The Sommerfeld Free-Electron Theory of Metals
Abstract
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
Chapter 4. The One-Electron Approximation and Beyond
Abstract
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
Chapter 5. Band Theory of Crystals
Abstract
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
Chapter 6. Electronic Properties of Selected Crystals
Abstract
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
Chapter 7. Excitons, Plasmons, and Dielectric Screening in Crystals
Abstract
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
Chapter 8. Interacting Electronic-Nuclear Systems and the Adiabatic Principle
Abstract
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
Chapter 9. Lattice Dynamics of Crystals
Abstract
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
Chapter 10. Scattering of Particles by Crystals
Abstract
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 Mössbauer Effect
Appendix A
Further reading
Chapter 11. Optical and Transport Properties of Metals
Abstract
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
Chapter 12. Optical Properties of Semiconductors and Insulators
Abstract
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
Chapter 13. Transport in Intrinsic and Homogeneously Doped Semiconductors
Abstract
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
Chapter 14. Transport in Inhomogeneous Semiconductors
Abstract
14.1 Properties of the - Junction at Equilibrium
14.2 Current-Voltage Characteristics of the - 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
Chapter 15. Electron Gas in Magnetic Fields
Abstract
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
Chapter 16. Magnetic Properties of Localized Systems and Kondo Impurities
Abstract
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
Chapter 17. Magnetic Ordering in Crystals
Abstract
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
Chapter 18. Superconductivity
Abstract
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
Index
GG
Giuseppe Grosso graduated in Physics at the University of Pisa in 1972 and PhD from the Scuola Normale Superiore in 1977, He is a retired full professor of Solid State Physics at the Physics Department of Pisa. The main research topics addressed concern electronic and optical properties of perfect 3D and nanostructured solids, Green’s function, recursion and renormalization methods, continued fractions coherent transport, Keldysh formalism, conjugated polymers and molecular crystals, silicon and germanium based photonics.
GP