Condensed Matter Physics

  1. Electronic Properties of Solids
    1. Free Electron Models
      1. Drude Model
        1. Classical Treatment
          1. Assumptions and Limitations
            1. Electrical Conductivity
              1. Ohm's Law
                1. Resistivity
                2. Hall Effect
                  1. Classical Hall Coefficient
                    1. Charge Carrier Determination
                    2. Thermal Conductivity
                      1. Wiedemann-Franz Law
                        1. Lorenz Number
                        2. Optical Properties
                          1. Plasma Frequency
                        3. Sommerfeld Model
                          1. Quantum Free Electron Theory
                            1. Fermi-Dirac Distribution
                              1. Zero Temperature Limit
                                1. Finite Temperature Effects
                                2. Fermi Energy and Fermi Surface
                                  1. Definition and Calculation
                                    1. Temperature Independence
                                    2. Density of States
                                      1. Three-Dimensional Case
                                        1. Energy Dependence
                                        2. Electronic Heat Capacity
                                          1. Linear Temperature Dependence
                                            1. Comparison with Classical Prediction
                                            2. Pauli Paramagnetism
                                              1. Magnetic Susceptibility
                                          2. Band Theory of Solids
                                            1. Electrons in Periodic Potentials
                                              1. Bloch's Theorem
                                                1. Bloch Functions
                                                  1. Crystal Momentum
                                                    1. Implications for Electron Motion
                                                  2. Nearly Free Electron Model
                                                    1. Weak Potential Approximation
                                                      1. Perturbation Theory
                                                        1. Origin of Energy Gaps
                                                          1. Bragg Reflection
                                                            1. Standing Wave Solutions
                                                            2. Extended and Reduced Zone Schemes
                                                            3. Tight-Binding Model
                                                              1. Linear Combination of Atomic Orbitals
                                                                1. Overlap Integrals
                                                                  1. Bandwidth
                                                                    1. Hopping Parameters
                                                                    2. Band Structure Calculations
                                                                      1. Density Functional Theory
                                                                        1. Pseudopotentials
                                                                          1. Computational Methods
                                                                        2. Classification of Solids
                                                                          1. Metals
                                                                            1. Partially Filled Bands
                                                                              1. Fermi Surface Properties
                                                                                1. Electronic Transport
                                                                                2. Insulators
                                                                                  1. Filled Valence Band
                                                                                    1. Empty Conduction Band
                                                                                      1. Band Gap
                                                                                      2. Semiconductors
                                                                                        1. Small Band Gap
                                                                                          1. Direct Band Gap
                                                                                            1. Indirect Band Gap
                                                                                              1. Temperature Dependence
                                                                                            2. Semiclassical Dynamics
                                                                                              1. Electron and Hole Dynamics
                                                                                                1. Concept of Holes
                                                                                                  1. Effective Positive Charge Carriers
                                                                                                  2. Effective Mass
                                                                                                    1. Definition and Physical Meaning
                                                                                                      1. Tensor Nature
                                                                                                    2. Semiclassical Equations of Motion
                                                                                                      1. External Electric Fields
                                                                                                        1. External Magnetic Fields
                                                                                                          1. Cyclotron Motion
                                                                                                            1. Cyclotron Frequency
                                                                                                              1. Cyclotron Radius
                                                                                                          2. Experimental Probes of Electronic Structure
                                                                                                            1. de Haas-van Alphen Effect
                                                                                                              1. Magnetic Oscillations
                                                                                                                1. Fermi Surface Determination
                                                                                                                2. Shubnikov-de Haas Effect
                                                                                                                  1. Magnetoresistance Oscillations
                                                                                                                    1. Effective Mass Measurement
                                                                                                                    2. Cyclotron Resonance
                                                                                                                      1. Resonance Condition
                                                                                                                        1. Effective Mass Determination
                                                                                                                        2. Angle-Resolved Photoemission Spectroscopy
                                                                                                                          1. Band Structure Mapping
                                                                                                                            1. Fermi Surface Visualization

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                                                                                                                        3. Lattice Dynamics and Phonons

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                                                                                                                        5. Semiconductors