Topology in condensed matter systems

Reference: Topological Insulators and Topological Superconductors, by B.A. Bernevig (2013)

Grading: Homework (60%), term report (40%)

Required background: Quantum mechanics, solid state physics

1st semester

 01. Introduction to topology

 02. Berry phase and Berry curvature

 03. Berry curvature of Bloch states

 04. Charge polarization and charge pump

 05. Quantum anomalous Hall effect

 06. Graphene and others

 07. Topological insulator

 08. Surface state of topological insulator

2nd semester

 09. Weyl semimetal

 10. Electromagnetic response of Weyl semimetal

 11. Review of BCS theory

 12. 1D p-wave superconductor

 13. 2D p-wave superconductor

 14. Superconductor with spin

 15. Spinful p-wave superconductor with TRS

 16. Periodic table