## Fundamentals of Condensed Matter Physics (Marvin L. Cohen and Steven G. Louie)

- Part 1 Basic concepts: electrons and phonons
- Concept of a solid: qualitative introduction and overview
- Classification of solids
- A first model of a solid: interacting atoms
- A second model: elementary excitations
- Elementary excitations associated with solids and liquids
- External probes
- Dispersion curves
- Graphical representation of elementary excitations and probe particles
- Interactions among particles
- Quasiparticle-quasiparticle interactions
- Quasiparticle-quasiparticle interactions
- Collective excitation interactions

- Electrons in crystals
- General Hamiltonian
- The Born-Oppenheimer adiabatic approximation
- The mean-field approximation
- The periodic potential approximation
- Translational symmetry, periodicity, and lattices

- Electronic energy bands
- Free electron model
- Symmetries and energy bands
- Symmetries and energy bands in one dimension
- Energy bands and gaps: the Kronig-Penney model

- Nearly-free electron model
- Tight-binding model
- Electron (or hole) velocity in a band and the f-sum rule
- Periodic boundary conditions and summing over band states
- Energy bands for materials

- Part 2 Electron Interactions, Dynamics and Responses
- Part 3 Optical and Transport Phenomena
- Part 4 Many-body Effects, Superconductivity, Magnetism, and Lower-Dimensional Systems