Fys 208. Solid State Physics

List of Topics

Introduction

• Crystal Structure, Lattice (Gitter in Norw.) vibrations
• Crystals as "huge molecules"
• Quantum Mechanics.....

• Dispersion relations ( and normal modes) for a string
• (one dimensional 'crystal')
• Heat capacity, Einstein's model,
• Heat capacity, Debye's model
• Heat conduction
• Phonons
• Anharmonic Effects, Umklapp process; Thermal Expansion

• Classical Gas: Drude's Model: Relation between electic and thermal
• Conductivity
• Fermi Gas: Fermi Gas Model, Density of States, Fermi Energy
• Quantal Theory for Heat capacity of Electrons

• Blochs Theorem
• Details of Fourier analysis for construction of Bloch States
• LCAO
• 1-dimensional models
• Weak potential models
• Number of states in a band; Metals, Insulators Semiconductors
• 3-dimensional models

• Equations of Motion,
• Effective Mass; Effective Mass and Density of States

• Electron Motion in Magnetic field, Importance of Fermi Surface
• Temperature dependence of electric conductivity.
• Polycrystalline structure of metals

• Energy Gap; Number of states in a Band
• Density of Charge Carrires: Electrons and Holes
• Law of Mass Action (massevirkningsloven) Analogy with Chemistry
• Impurities; Donors and Acceptors; Impurity states
• Mobilities
• The physics of the p-n junction

• Hall effect in conductors
• Hall effect in semiconductors

• Diamagnetism; Quantal derivation
• Paramagnetism; Paramagnetism of Electrons in Metals
• Cooperative Magnetism

• Heisenberg Ferromagnet
• Mean Field Theory: Spontaneous magnetization, Hysteresis

• Basic principles, Meissner Effect
• Illustrative Models, Correlated states
• Superconductivity and Magnetism; Quantization of magnetic Flux
• Type I, Type II and high T superconductors

• Crystal Symmetry; Unit cells, Wigner-Seitz; Brillouin; Miller indices
• Types of Lattices

• Braggs Law; von Lau's methods; Ewald's Sphere
• Neutron Diffraction
• Diffraction: Experimental methods