Topology in Physics

Dr. Nicolás Lorente
Centro de Física de Materiales, CSIC-EHU, and DIPC (Donostia-San Sebastián)

DIPC seminar room

February, 2018

Topology is becoming a common place in today's physics research. It is however foreign and difficult to grasp to many of us. I will give an introductory presentation to this topic in 4 lectures of one hour and a half.
The courses were detailed but with minimum mathematical requirements (all needed concepts were introduced). The main objective of the course was to give a handle on terminology and concepts that are regularly used. The syllabus for the course was:

  • The adiabatic theorem and the Berry phase. Continuous deformation and topological invariants.
  • The SSH model. Edge states and the bulk-boundary correspondance.
  • Topological insulators.
  • Topological superconductors. The “periodic table” of topological insulators and superconductors.

Course shared documents