課程介紹

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課程目標

Learning the physics and numerical skills for researches in the topological insulators related topics

修習條件

主要教本

Text book: A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions (Lecture Notes in Physics) by Janos K. Asboth, Laszlo Oroszlany, and Andras Palyi Reference Book: 1. Topological Insulators and Topological Superconductors by B. Andrei Bernevig and Taylor L. Hughes 2. Topological Insulators: Dirac Equation in Condensed Matter (2017 Ed.) by Shun-Qing Shen

內容大綱

1. Berry phase
2. Chern number
3. Zak phase and topological polarization
4. 1D and 2D lattice models
5. Graphene model and descrete symmetries
6. Quantum Hall Effect
7. Haldane model
8. Kane-Mele ＆ BHZ models
9. Z2 invariants
10. Topological photonics
11. Topological acoustics
12. Topological mechanics