Efnisyfirlit

• The Oxford Solid State Basics
• Copyright
• Preface to the 2019 Reprint
• Preface to the 2016 Reprint
• Preface after Teaching this Course
• Preface
• About this Book
• Acknowledgments
• Contents
• 1. About Condensed Matter Physics
  • 1.1 What Is Condensed Matter Physics
  • 1.2 Why Do We Study Condensed Matter Physics?
  • 1.3 Why Solid State Physics?
• Part I. Physics of Solids without Considering Microscopic Structure: The Early Days of Solid State
  • 2. Specific Heat of Solids: Boltzmann, Einstein, and Debye
    • 2.1 Einstein’s Calculation
    • 2.2 Debye’s Calculation
      • 2.2.1 Periodic (Born–von Karman) Boundary Conditions
      • 2.2.2 Debye’s Calculation Following Planck
      • 2.2.3 Debye’s “Interpolation”
      • 2.2.4 Some Shortcomings of the Debye Theory
      • Chapter Summary
      • References
    • 2.3 Appendix to this Chapter: ζ(4)
    • Exercises
  • 3. Electrons in Metals: Drude Theory
    • 3.1 Electrons in Fields
      • 3.1.1 Electrons in an Electric Field
      • 3.1.2 Electrons in Electric and Magnetic Fields
    • 3.2 Thermal Transport
    • Chapter Summary
    • References
    • Exercises
  • 4. More Electrons in Metals: Sommerfeld (Free Electron) Theory
    • 4.1 Basic Fermi–Dirac Statistics
    • 4.2 Electronic Heat Capacity
    • 4.3 Magnetic Spin Susceptibility (Pauli Paramagnetism)
    • 4.4 Why Drude Theory Works So Well
    • 4.5 Shortcomings of the Free Electron Model
    • Chapter Summary
    • References
    • Exercises
• Part II. Structure of Materials
  • 5. The Periodic Table
    • 5.1 Chemistry, Atoms, and the Schroedinger Equation
    • 5.2 Structure of the Periodic Table
    • 5.3 Periodic Trends
      • 5.3.1 Effective Nuclear Charge
    • Chapter Summary
    • References
    • Exercises
  • 6. What Holds Solids Together: Chemical Bonding
    • 6.1 Ionic Bonds
    • 6.2 Covalent Bond
    • 6.2.1 Particle in a Box Picture
    • 6.2.2 Molecular Orbital or Tight Binding Theory
    • 6.3 Van der Waals, Fluctuating Dipole Forces, or Molecular Bonding
    • 6.4 Metallic Bonding
    • 6.5 Hydrogen Bonds
    • Chapter Summary (Table)
    • References on Chemical Bonding
    • Exercises
  • 7. Types of Matter
    • References
• Part III. Toy Models of Solids in One Dimension
  • 8. One-Dimensional Model of Compressibility, Sound, and Thermal Expansion
    • Compressibility (or Elasticity)
    • Sound
    • Thermal Expansion
    • Chapter Summary
    • References
    • Exercises
  • 9. Vibrations of a One-Dimensional Monatomic Chain
    • 9.1 First Exposure to the Reciprocal Lattice
      • Aliasing:
    • 9.2 Properties of the Dispersion of the One-Dimensional Chain
      • Sound Waves:
      • Counting Normal Modes:
    • 9.3 Quantum Modes: Phonons
    • 9.4 Crystal Momentum
    • Chapter Summary
    • References
    • Exercises
  • 10. Vibrations of a One-Dimensional Diatomic Chain
    • 10.1 Diatomic Crystal Structure: Some Useful Definitions
    • 10.2 Normal Modes of the Diatomic Solid
    • Chapter summary
    • References
    • Exercises
  • 11. Tight Binding Chain (Interlude and Preview)
    • 11.1 Tight Binding Model in One Dimension
    • 11.2 Solution of the Tight Binding Chain
    • 11.3 Introduction to Electrons Filling Bands
    • 11.4 Multiple Bands
    • Chapter Summary
    • References
    • Exercises
• Part IV. Geometry of Solids
  • 12. Crystal Structure
    • 12.1 Lattices and Unit Cells
    • 12.2 Lattices in Three Dimensions
      • 12.2.1 The Body-Centered Cubic (bcc) Lattice
      • 12.2.2 The Face-Centered Cubic (fcc) Lattice
      • 12.2.3 Sphere Packing
      • 12.2.4 Other Lattices in Three Dimensions
      • 12.2.5 Some Real Crystals
    • Chapter summary
    • References
    • Exercises
  • 13. Reciprocal Lattice, Brillouin Zone, Waves in Crystals
    • 13.1 The Reciprocal Lattice in Three Dimensions
      • 13.1.1 Review of One Dimension
      • 13.1.2 Reciprocal Lattice Definition
      • 13.1.3 The Reciprocal Lattice as a Fourier Transform
      • 13.1.4 Reciprocal Lattice Points as Families of Lattice Planes
      • 13.1.5 Lattice Planes and Miller Indices
    • 13.2 Brillouin Zones
    • 13.2.1 Review of One-Dimensional Dispersions and Brillouin Zones
    • 13.2.2 General Brillouin Zone Construction
    • 13.3 Electronic and Vibrational Waves in Crystals in Three Dimensions
    • Chapter Summary
    • References
    • Exercises
• Part V. Neutron and X-Ray Diffraction
  • 14. Wave Scattering by Crystals
    • 14.1 The Laue and Bragg Conditions
      • 14.1.1 Fermi’s Golden Rule Approach
      • 14.1.2 Diffraction Approach
      • 14.1.3 Equivalence of Laue and Bragg conditions
    • 4.2 Scattering Amplitudes
      • Neutrons
      • X-rays
      • Comparison of Neutrons and X-rays
      • Electron Diffraction is Similar!
      • 14.2.1 Simple Example
      • 14.2.2 Systematic Absences and More Examples
      • 14.2.3 Geometric Interpretation of Selection Rules
    • 14.3 Methods of Scattering Experiments
      • 14.3.1 Advanced Methods
        • Laue Method
        • Rotating Crystal Method
      • 14.3.2 Powder Diffraction
        • A Fully Worked Example
    • 14.4 Still More About Scattering
      • 14.4.1 Variant: Scattering in Liquids and Amorphous Solids
      • 14.4.2 Variant: Inelastic Scattering
      • 14.4.3 Experimental Apparatus
    • Chapter Summary
    • References
    • Exercises
• Part VI. Electrons in Solids
  • 15. Electrons in a Periodic Potential
    • 15.1 Nearly Free Electron Model
      • 15.1.1 Degenerate Perturbation Theory
        • Simple Case: k Exactly at the Zone Boundary
        • In One Dimension
        • k Not Quite on a Zone Boundary (Still in One Dimension)
        • Nearly Free Electrons in Two and Three Dimensions
    • 15.2 Bloch’s Theorem
    • Chapter Summary
    • References
    • Exercises
  • 16. Insulator, Semiconductor, or Metal
    • 16.1 Energy Bands in One Dimension
    • 16.2 Energy Bands in Two and Three Dimensions
    • 16.3 Tight Binding
    • 16.4 Failures of the Band-Structure Picture of Metals and Insulators
      • Magnets
      • Mott Insulators
    • 16.5 Band Structure and Optical Properties
      • 16.5.1 Optical Properties of Insulators and Semiconductors
      • 16.5.2 Direct and Indirect Transitions
      • 16.5.3 Optical Properties of Metals
      • 16.5.4 Optical Effects of Impurities
    • Chapter Summary
    • References
    • Exercises
  • 17. Semiconductor Physics
    • 17.1 Electrons and Holes
      • Effective Mass of Electrons
      • Effective Mass of Holes
      • The momentum and velocity of a hole
      • Effective Mass and Equations of Motion
      • 17.1.1 Drude Transport: Redux
    • 17.2 Adding Electrons or Holes with Impurities: Doping
      • 17.2.1 Impurity States
        • Optical Effects of Impurities (Redux)
    • 17.3 Statistical Mechanics of Semiconductors
      • Law of Mass Action
      • Intrinsic Semiconductors
      • Doped Semiconductors
    • Chapter Summary
    • References
    • Exercises
  • 18. Semiconductor Devices
    • 18.1 Band Structure Engineering
      • 18.1.1 Designing Band Gaps
      • 18.1.2 Non-Homogeneous Band Gaps
        • Modulation Doping and the Two-Dimensional Electron Gas
    • 18.2 p-n Junction
      • The Solar Cell
      • Rectification: The Diode
      • Light Emitting Diode
    • 18.3 The Transistor
    • Chapter Summary
    • References
    • Exercises
• Part VII. Magnetism and Mean Field Theories
  • 19. Magnetic Properties of Atoms: Para- and Dia-Magnetism
    • 19.1 Basic Definitions of Types of Magnetism
    • 19.2 Atomic Physics: Hund’s Rules
      • 19.2.1 Why Moments Align
      • Naive Argument
      • More Correct
      • Exchange Energy
      • Magnetic Interactions in Molecules and Solids
    • 19.3 Coupling of Electrons in Atoms to an External Field
    • 19.4 Free Spin (Curie or Langevin) Paramagnetism
    • 19.5 Larmor Diamagnetism
    • 19.6 Atoms in Solids
      • 19.6.1 Pauli Paramagnetism in Metals
      • 19.6.2 Diamagnetism in Solids
      • 19.6.3 Curie Paramagnetism in Solids
        • Where to find free spins?
        • Modifications of Free Spin Picture
    • Chapter Summary
    • References
    • Exercises
  • 20. Spontaneous Magnetic Order: Ferro-, Antiferro-, and Ferri-Magnetism
    • 20.1 (Spontaneous) Magnetic Order
      • 20.1.1 Ferromagnets
      • 20.1.2 Antiferromagnets
        • Detecting Antiferromagnetism with Diffraction
        • Frustrated Antiferromagnets
      • 20.1.3 Ferrimagnets
    • 20.2 Breaking Symmetry
      • 20.2.1 Ising Model
    • Chapter Summary
    • References
    • Exercises
  • 21. Domains and Hysteresis
    • 21.1 Macroscopic Effects in Ferromagnets: Domains
      • 21.1.1 Domain Wall Structure and the Bloch/N´eel Wall
    • 21.2 Hysteresis in Ferromagnets
      • 21.2.1 Disorder Pinning
      • 21.2.2 Single-Domain Crystallites
      • 21.2.3 Domain Pinning and Hysteresis
    • Chapter Summary
    • References
    • Exercises
  • 22. Mean Field Theory
    • 22.1 Mean Field Equations for the Ferromagnetic Ising Model
    • 22.2 Solution of Self-Consistency Equation
      • 22.2.1 Paramagnetic Susceptibility
      • 22.2.2 Further Thoughts
    • Chapter Summary
    • References on Mean Field Theory
    • Exercises
  • 23. Magnetism from Interactions: The Hubbard Model
    • 23.1 Itinerant Ferromagnetism
      • 23.1.1 Hubbard Ferromagnetism Mean Field Theory
      • 23.1.2 Stoner Criterion
    • 23.2 Mott Antiferromagnetism
      • Chapter Summary
      • References on Hubbard Model
    • 23.3 Appendix: Hubbard Model for the Hydrogen Molecule
    • Exercises
• A. Sample Exam and Solutions
  • EXAM
  • SOLUTIONS
• B. List of Other Good Books
• Indices
  • Index of People
  • Index of Topics

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