Topology in Condensed Matter: Tying Quantum Knots

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 will you gain from this course?

• Learn about the variety of subtopics in topological materials, their relation to each other and to the general principles.
• Learn to follow active research on topology, and critically understand it on your own.