Solid State Physics

  1. Band Theory of Solids
    1. Bloch's Theorem
      1. Statement and Proof
        1. Bloch Functions
          1. Crystal Momentum
            1. Reduced Zone Scheme
            2. Nearly Free Electron Model
              1. Weak Periodic Potential
                1. Perturbation Theory
                  1. Energy Gaps at Zone Boundaries
                    1. Bragg Reflection
                      1. Extended Zone Scheme
                      2. Tight-Binding Model
                        1. Linear Combination of Atomic Orbitals
                          1. Overlap Integrals
                            1. Transfer Integrals
                              1. Band Formation
                                1. Bandwidth and Hopping
                                  1. Applications to Simple Systems
                                  2. Kronig-Penney Model
                                    1. One-Dimensional Periodic Potential
                                      1. Delta Function Potential
                                        1. Transcendental Equation
                                          1. Allowed and Forbidden Bands
                                          2. Band Structure Calculations
                                            1. Pseudopotential Method
                                              1. Augmented Plane Wave Method
                                                1. Density Functional Theory
                                                  1. k·p Method
                                                  2. Classification of Solids
                                                    1. Metals
                                                      1. Partially Filled Bands
                                                        1. Fermi Surface
                                                          1. Electronic Properties
                                                          2. Insulators
                                                            1. Filled Valence Band
                                                              1. Empty Conduction Band
                                                                1. Large Band Gap
                                                                2. Semiconductors
                                                                  1. Small Band Gap
                                                                    1. Temperature-Dependent Properties
                                                                    2. Semimetals
                                                                      1. Small Overlap of Bands

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                                                                  7. Free Electron Theory

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                                                                  9. Semiconductor Physics