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RESEARCH
12 units

Topology in Condensed Matter: Tying Quantum Knots

A clearly attributed QuantumSpark integration of the TU Delft / TOPOCMx open course structure. This entry links and organizes the original open course for study inside QuantumSpark while preserving source attribution and license boundaries.

12 units18 hoursRESEARCH
Open student courseOriginal source

Published syllabus

Course Units

Unit 1
90 min

Course orientation and topology as a physics language

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
Zero-dimensional quantum systems
The concept of a topological invariant
Time-reversal symmetry
Sublattice symmetry
Particle-hole symmetry
Conclusion
3 objectives
Unit 2
90 min

Introduction to topology and invariants

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 3
90 min

Band topology and Berry phase

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 4
90 min

The Su-Schrieffer-Heeger model

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 5
90 min

Kitaev chain and Majorana zero modes

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 6
90 min

Quantum Hall physics and Laughlin pumping

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 7
90 min

Chern numbers and bulk-boundary correspondence

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 8
90 min

Topological insulators and time-reversal symmetry

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 9
90 min

Topological superconductors

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 10
90 min

Disorder, robustness, and localization

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 11
90 min

Beyond single-particle topology

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives
Unit 12
90 min

Self-study projects and paper reviews

Admin-authored unit for Topology in Condensed Matter: Tying Quantum Knots.

Course notes
3 objectives