Professional Course

Topological Quantum Matter

edX, Online
16 weeks
16 weeks
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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.

Who should attend?


Students of Physics - Master's degree or higher

Training 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


  • Verified Track -$49
  • Audit Track - Free

Certification / Credits

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

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