Condensed Matter Physics

  1. Lattice Dynamics and Phonons
    1. Classical Lattice Dynamics
      1. Vibrations of One-Dimensional Monatomic Chain
        1. Equation of Motion
          1. Dispersion Relation
            1. Normal Modes
            2. Vibrations of One-Dimensional Diatomic Chain
              1. Acoustic Branch
                1. Low-Frequency Limit
                  1. Sound Velocity
                  2. Optical Branch
                    1. High-Frequency Limit
                      1. Physical Origin
                      2. Frequency Gap
                    2. Three-Dimensional Lattice Dynamics
                      1. Dynamical Matrix
                        1. Force Constants
                          1. Symmetry Considerations
                          2. Phonon Dispersion Relations
                            1. Longitudinal Modes
                              1. Transverse Modes
                                1. Polarization Vectors
                                2. Phonon Branches
                                  1. Acoustic Branches
                                    1. Optical Branches
                                      1. Number of Branches
                                    2. Quantization of Lattice Vibrations
                                      1. Phonons as Quasiparticles
                                        1. Phonon Creation and Annihilation Operators
                                          1. Phonon Number States
                                            1. Bose-Einstein Statistics for Phonons
                                            2. Phonon Density of States
                                              1. Definition and Calculation
                                                1. Van Hove Singularities
                                                  1. Debye Approximation
                                                    1. Debye Cutoff Frequency
                                                      1. Debye Temperature
                                                    2. Thermal Properties of Lattices
                                                      1. Lattice Heat Capacity
                                                        1. Classical Limit
                                                          1. Dulong-Petit Law
                                                          2. Einstein Model
                                                            1. Quantum Oscillators
                                                              1. Einstein Temperature
                                                              2. Debye Model
                                                                1. Low-Temperature Behavior
                                                                  1. T³ Law
                                                                2. Thermal Conductivity
                                                                  1. Phonon Transport
                                                                    1. Scattering Mechanisms
                                                                      1. Boundary Scattering
                                                                        1. Impurity Scattering
                                                                          1. Phonon-Phonon Scattering
                                                                          2. Umklapp Processes
                                                                          3. Thermal Expansion
                                                                            1. Anharmonic Effects
                                                                              1. Grüneisen Parameter
                                                                                1. Volume Dependence
                                                                              2. Anharmonic Effects
                                                                                1. Phonon-Phonon Interactions
                                                                                  1. Three-Phonon Processes
                                                                                    1. Four-Phonon Processes
                                                                                    2. Thermal Conductivity Reduction
                                                                                      1. Frequency Shifts
                                                                                      2. Experimental Probes of Phonons
                                                                                        1. Inelastic Neutron Scattering
                                                                                          1. Energy and Momentum Transfer
                                                                                            1. Phonon Dispersion Measurement
                                                                                            2. Raman Spectroscopy
                                                                                              1. Selection Rules
                                                                                                1. Optical Phonons
                                                                                                2. Infrared Spectroscopy
                                                                                                  1. Absorption by Polar Modes
                                                                                                  2. Brillouin Scattering
                                                                                                    1. Acoustic Phonons

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                                                                                                2. Crystal Structure and Symmetry

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                                                                                                4. Electronic Properties of Solids