Lectures on the Quantum Hall Effect
arXiv:1606.06687
Abstract
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 . 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.
arXiv comment230ish pages. Lots of figures. These lectures were given at TIFR, Mumbai. Individual chapters can be downloaded from http://www.damtp.cam.ac.uk/user/tong/qhe.html . The notes on the course webpage will be updated more frequently than those on the arXiv. v2: typos fixed. Subjects: High Energy Physics - Theory (hep-th)
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