Course description
Topological Quantum Matter
This advanced course covers the fundamentals of the thriving field of Topological States of Matter. We discuss both theoretical and experimental aspects, and emphasize the physical picture over the technical details. The course is divided to nine units.
The Integer and Fractional Quantm Hall Effects are covered in the first unit, including the concepts of edge states, localization, fractional charges, composite fermions, and non-abelian states.
Topological Superconductivity is covered in the 2nd unit, including the concepts of the Thouless pump, Majorana zero modes, and realizations in one and two dimensions.
Topological Universe on a Graphene Sheet is offered by the 3rd unit, including the concepts of Dirac cones, Klein tunneling and Chern bands, as well as the rich world of twisted bi-layer graphene.
Topological Insulators are covered by the 4th unit, including two- and three- dimensional systems, as well as topological crystalline insulators.
The 5th unit, on Topological Classification , puts all examples of the previous units into a unified framework, introducing the periodic table of gapped topological systems with no topological order.
The 6th unit expands the course into the realm of Gapless Topological Phases , covering Dirac and Weyl semi-metals, both in their bulk and surface.
The 7th unit covers the theoretical tools for Predicting Topological Materials , with an emphasis on Denisty Functional Theory, and the quantities that need to be calculated to probe the topological characteristics of a material.
Upcoming start dates
Suitability - Who should attend?
Prerequisites
Students of Physics - Master's degree or higher
Outcome / Qualification etc.
What you'll learn
- Fundamental concepts of the field and examples of topological systems
- Topological classification of quantum matter
- Bulk-Boundary correspondence in topological matter
- Responses and anomalies of topological matter
- Introduction to common Experimental techniques
- Quantum Hall effect and quantum spin Hall effect
- Gapped, Gapless and superconducting topological phases
- Topological physics of graphene
- Topological order and topological quantum computation
Training Course Content
The quantum Hall effect – Prof. Ady Stern
Topological superconductivity – Prof. Yuval Oreg, Dr. Yuval Ronen
Topological universe on a graphene sheet – Prof. Raquel Queiroz, Prof.
Shahal Ilani, Prof. Erez Berg
Topological insulators – Prof. Haim Beidenkopf, Prof. Binghai Yan,
Prof. Ady Stern
Topological classification – Prof. Erez Berg
Gapless topological phases – Prof. Roni Ilan, Prof. Haim Beidenkopf
Material prediction – Prof. Binghai Yan
States of topological Order – Prof. Ady Stern, Prof. Erez Berg, Prof.
Yuval Oreg
Experimental tools – Prof. Haim Beidenkopf, Dr. Nurit Avraham, Prof.
Moty Heiblum
Course delivery details
This course is offered through IsraelX, a partner institute of EdX.
2-4 hours per week
Expenses
- Verified Track -$49
- Audit Track - Free