Lectures on the Quantum Hall Effect

By David Tong. 2016

203 citations recorded by the source corpus.

The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary. The notes are aimed at graduate students in any discipline where $\hbar=1$. A working knowledge of quantum field theory is assumed. Contents: 1. The Basics (Landau levels and Berry phase). 2. The Integer Quantum Hall Effect. 3. The Fractional Quantum Hall Effect. 4. Non-Abelian Quantum Hall States. 5. Chern-Simons Theories. 6. Edge Modes.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/703bae6d1c39fd469436783c2b4a9f21ecf17573

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In Atomic and Molecular Physics, and Optics

1. Nathan Goldman
2. A. Amo
3. T. Ozawa
4. H. Price
5. M. Rechtsman
6. I. Carusotto
7. David I. Schuster
8. Jonathan Simon

In Electrical and Electronic Engineering

1. Nathan Goldman
2. M. Rechtsman
3. Jonathan Simon
4. David I. Schuster
5. A. Amo
6. I. Carusotto
7. Oded Zilberberg
8. H. Price

Citations in the corpus

• Topological photonics (2018, background): “To date, several condensed matter systems such as quantum Hall states of two-dimensional electrons under strong magnetic fields (Tong, 2016) or Majorana fermions”