PHYS-756 / 2 credits

Teacher: Kriuchkov Oleksandr

Language: English


Every year


Twisted Bilayer Graphene (TBG) is a change of paradigm in condensed matter: with flat topologic bands, it provides a platform for unconventional superconductivity, correlated insulation, Plankian metal phase, etc. This course will provide rigorous yet pedagocical introduction to the topic.



The current epidemiological situation will allow in-person classes, in this case the course will not be recordered.


twisted bilayer graphene, moiré heterostructure, flat topological bands, topology and quantum geometry

Learning Prerequisites

Required courses

Solid State Physics I, II;  Quantum Mechanics I, II; Complex Analysis I, II

Recommended courses

Quantum Mechanics IV (Diagrammatics); Advanced Solid State (Band Structure Calculations); Topology

Learning Outcomes

By the end of the course, the student must be able to:

  • Navigate across the diverse literature on the moiré materials
  • Perform simple band structure calculations
  • Understand concepts of Landau level, holomorphicity, and flat band interactions



1. Each lecture will be supplement will be supplemented with key references in the form of most relevant research papers.
2. By the end of the course, the LaTeX lecture notes will be availbale (to be posted on arXiv).

In the programs

  • Number of places: 50
  • Exam form: Oral presentation (session free)
  • Subject examined: Lectures on twisted bilayer graphene
  • Lecture: 21 Hour(s)
  • Exercises: 7 Hour(s)

Reference week