Syllabus PHYS90507 (This is a new course. Comments and suggestions on the content are welcome)
Lectures 1 and 2: Dirac and Weyl fermions. Notes for Lectures 1 and 2
Assignment Set 1 – Note on assignment 1 about the effective mass.
Lecture 3. The Jackiw-Rebbi solution in 1D. Notes for Lecture 3
Lecture 4. The Jackiw-Rebbi problem in 2D. Notes for Lecture 4
Lectures 5 and 6. The Su-Shrieffer -Heeger model. Notes for Lectures 5 and 6
Lectures 7 and 8. Graphene: band structure. Notes for Lectures 7 and 8
Lecture 9. Graphene: Landau levels. Notes for Lecture 9
Lecture 10. The Berry phase. Notes for Lecture 10
Lecture 11. The Berry phase and the quantum Hall effect. Notes for Lecture 11
Lectures 12 and 13. The Haldane Model. Notes for Lectures 12 and 13
Lecture 14. The Kane-Mele Model.
Lecture 15. Introduction to k.p theory. Notes for Lecture 15
Lecture 16. Review. Presentation
Lecture 17. k.p in III-V and II-VI semiconductors. Presentation
Lecture 18. Dirac bound state at trivial-topological interface. Presentation
Lecture 19. Discussion on spin-charge experimental probes.
Lecture 20 and 21. Topological insulator quantum wells. Notes for lecture 20
Lecture 22. Potential of QAHE for data storage applications. Presentation
Lecture 23. Symmetry and band crossings. Presentation.
Lecture 24. Transport experiments. Notes for lecture 24
Lecture 25. Optical experiments and photoemission. Notes for lecture 25