PHY2303H S specialized:  Quantum Theory of Solids II

Reference Book:

The course will not follow a particular text. Here are some useful books.

• · N. W. Ashcroft and N. D. Mermin, Solid State Physics.
• · J. M. Ziman, Principles of the Theory of Solids.
• · A. A. Abrikosov, Fundamentals of the Theory of Metals.
• · D. Pines and P. Nozieres, The Theory of Quantum Liquids.

Topics:

1.  Electron-Electron Interactions

1. Review of free electrons and specific heat
2. The self-consistent-field approximation; Hartree and Hatree-Fock approximation
3. Quantum theory of screening
4. Thomas-Fermi and Random Phase Approximation
5. Static and dynamic dielectric function
6. Phase shift analysis and Friedel sum rule
7. Plasma oscillations
8. Linear response theory
9. Fluctuation-dissipation theorem
10. f-sum rule and conductivity sum rule
11. Dynamical structure factor and scattering experiment
12. Quasiparticles and Landau-Fermi-liquid theory
    
    2. Transport Properties
13. Boltzman Equation
14. Electrical Conductivity
15. Calculation of relaxation time
16. General transport coefficient
17. Thermal conductivity and Wiederman-Franz law
18. Hall effect
19. Magnetoresistance