The idea behind topological systems is simple: if there exists a quantity, which cannot change in an insulating system where all the particles are localized, then the system must become conducting and obtain propagating particles when the quantity (called a “topological invariant”) finally changes.
The practical applications of this principle are quite profound, and already within the last eight years they have lead to prediction and discovery of a vast range of new materials with exotic properties that were considered to be impossible before.
What is the focus of this course?
Applications of topology in condensed matter based on bulk-edge correspondence.
Special attention to the most active research topics in topological condensed matter: theory of topological insulators and Majorana fermions, topological classification of “grand ten” symmetry classes, and topological quantum computation
Extensions of topology to further areas of condensed matter, such as photonic and mechanical systems, topological quantum walks, topology in fractionalized systems, driven or dissipative systems.
- Subject:
- Applied Science
- Computer Science
- Engineering
- Material Type:
- Full Course
- Provider:
- Delft University of Technology
- Provider Set:
- Delft University OpenCourseWare
- Author:
- Assistant Professor Anton Akhmerov
- Date Added:
- 08/20/2018