Beijing Institute of Mathematical Sciences and Applications

This course explores the Quantum Hall Effect from a physicist’s perspective. We begin with a review of the classical Hall effect and the experimental discovery of the quantum Hall regime. The course then develops the theoretical framework for both the integer and fractional quantum Hall effects, including Laughlin’s wavefunction and the theory of composite fermions. These provide the foundation for understanding powerful conceptual tools such as adiabatic flux insertion and related arguments. In the final part of the course, we turn to topics such as non-Abelian anyons and topological quantum field theory (TQFT). The course will primarily be taught on the blackboard save for possible computer demonstrations.