Lecture 1: 1) Syllabus: general information, expectation and organization. 2) B.Sc. Thesis writing guidance. 3) Research road map.
Lecture 2: Course content and topics to be covered.
We will cover the following topics:
1. Elements of band theory of solids.
2. Second quantization.
3. Tight binding model. Hubbard model. Anderson model.
4. Green's function methods. DOS. Self-energy.
5. Short review of statistical mechanics. Critical phenomena. Phase transitions.
6. Ising model. Mean Field Solution. Monte Carlo study of Ising model.
7. Dynamical Mean Field Theory (DMFT). Derivations.
8. DMFT study of 2D Hubbard model.
9. DCA study of Hubbard model.
Lecture 3: 1) Introduction: what is condensed matter physics about, why to do research in condensed matter ? 2) Strongly correlated electron systems.
Lecture 4: Classical description of free electron gas
Lecture 5: Free fermi gas at T=0 (quantum description of free electrons)
Lecture 7: Density of States
Lecture 8: 2nd quantization
Lecture 9: Tight binding model
Lecture 10: Green's functions. DMFT. CPA.
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