(in Polish) Topological insulators 1100-TI
1. The Su-Shrieffer-Heeger model.
2. Edge states.
3. Chiral symmetry.
4. Topological invariants, winding number, and bulk-boundary correspondence.
5. Berry phase, Berry curvature, and the Chern number.
6. Two-dimensional topological insulators and the Qi-Wu-Zhang model.
7. Topological states in the continuous Dirac equation model.
8. Time-reversal symmetric topological insulators.
9. Exceptional points and non-Hermitian topological states.
Learning outcomes
Knowledge:
- understanding the concept of a topological insulator and related concepts such as edge states, chiral symmetry, topological invariants, Berry phase and Chern number.
- familiarity with basic models including the Su-Shrieffer-Heeger model, the Qi-Wu-Zhang model and the Dirac model.
Skills:
- ability to determine bulk the spectrum in simple models of topological insulators, including edge states
- ability to calculate widning number, Berry phase and Chern number
- ability to determine topological states of one- and two-dimensional topological insulators
Assessment criteria
Homeworks
Exam
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: