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


 From the past: 2020, 2023