Nayak C. Solid State Physics

Los Angeles: University of California, 2000. — 88 p.What is Condensed Matter Physics?
Length, time, energy scales
Microscopic Equations vs. States of Matter, Phase Transitions, Critical Points
Broken Symmetries
Experimental probes: X-ray scattering, neutron scattering, NMR, thermodynamic, transport
The Solid State: metals, insulators, magnets, superconductors
Other phases: liquid crystals, quasicrystals, polymers, glasses
Review of Quantum Mechanics
States and Operators
Density and Current
^-function scatterer
Particle in a Box
Harmonic Oscillator
Double Well
Spin
Many-Particle Hilbert Spaces: Bosons, Fermions
Review of Statistical Mechanics
Microcanonical, Canonical, Grand Canonical Ensembles
Bose-Einstein and Planck Distributions
Fermi-Dirac Distribution
Thermodynamics of the Free Fermion Gas
Ising Model, Mean Field Theory, Phases
Broken Translational Invariance in the Solid State
Simple Energetics of Solids
Phonons: Linear Chain
Quantum Mechanics of a Linear Chain
Lessons from the ID chain
Discrete Translational Invariance: the Reciprocal Lattice, Brillouin Zones, Crystal Momentum
Phonons: Continuum Elastic Theory
Debye theory
More Realistic Phonon Spectra: Optical Phonons, van Hove Singularities
Lattice Structures
Bragg Scattering
Electronic BandsIndependent Electrons in a Periodic Potential: Bloch's theorem
Tight-Binding Models
The ^-function Array
Nearly Free Electron Approximation
Some General Properties of Electronic Band Structure
The Fermi Surface
Metals, Insulators, and Semiconductors
Electrons in a Magnetic Field: Landau Bands