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. Berry curvature in semiclassical dynamics

 12. Review of BCS theory

 13. 1D p-wave superconductor

 14. 2D p-wave superconductor

 15. Periodic table


 From the past: 2020, 2023