Solid State Physics

Solid State Physics

2nd Edition - October 10, 2013
There is a Newer Edition Available
  • Authors: Giuseppe Grosso, Giuseppe Parravicini
  • eBook ISBN: 9780123850317
  • Hardcover ISBN: 9780123850300

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Description

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.

Key Features

  • Features additional material on nanostructures, giving students and lecturers the most significant features of low-dimensional systems, with focus on carbon allotropes
  • Offers detailed explanation of dissipative and nondissipative transport, and explains the essential aspects in a field, which is commonly overlooked in textbooks
  • Additional material in the classical and quantum Hall effect offers further aspects on magnetotransport, with particular emphasis on the current profiles
  • Gives a broad overview of the band structure of solids, as well as presenting the foundations of the electronic band structure. Also features reported with new and revised material, which leads to the latest research

Readership

Primary Market: Upper level undergraduate, graduate and post-graduate students, Researchers and academics in the field of structure of matter and solid state physics.
Secondary Market: (Post) Graduate students in Materials Science, Chemistry and Engineering.

Table of Contents

  • 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

Product details

  • No. of pages: 872
  • Language: English
  • Copyright: © Academic Press 2013
  • Published: October 10, 2013
  • Imprint: Academic Press
  • eBook ISBN: 9780123850317
  • Hardcover ISBN: 9780123850300

About the Authors

Giuseppe Grosso

Affiliations and Expertise

Department of Physics, University of Pisa, Italy

Giuseppe Parravicini

Affiliations and Expertise

Department of Physics, University of Pisa, Pisa, Italia

Latest reviews

(Total rating for all reviews)

  • MarcoPiazzi Wed Feb 12 2020

    Excellent textbook on solid state physics

    Very well and clearly written textbook on solid state physics, covering all the basic and advanced topics of the subject. Excellent reading.

  • Antonio J. Mon Jan 20 2020

    Dr.

    I find very useful and a good point of pedagogial view the Chapter 2, geometrical description of crystals: direct and reciprocal latttices