Course description
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 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.
Who should attend?
Prerequisites
General knowledge of condensed matter theory and quantum mechanics on at least an advanced bachelor level.
Training content
- Understand the variety of subtopics in topological materials, their relation to each other and to the general principles.
- Follow active research on topology, and critically understand it on your own.
- Acquire skills required to engage in research on your own, and to minimize confusion that often arises even among experienced researchers.
Course delivery details
This course is offered through Delft University of Technology, a partner institute of EdX.
3–6 hours per week
Costs
- Verified Track -$50
- Audit Track - Free
Certification / Credits
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.
- Acquire skills required to engage in research on your own, and to minimize confusion that often arises even among experienced researchers.
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