Three Lectures On Topological Phases Of Matter
Edward Witten
TL;DR
This paper provides an overview of topological phases of matter, focusing on free fermions and band theory, and introduces the fractional quantum Hall effect through effective field theory, aimed at graduate-level understanding.
Contribution
It offers a comprehensive lecture-based introduction to topological phases and fractional quantum Hall effect, connecting band theory with topological properties and effective field theories.
Findings
Clarifies the role of free fermions in topological phases
Introduces effective field theory approach to fractional quantum Hall effect
Provides educational insights into topological matter for students
Abstract
These notes are based on lectures at the PSSCMP/PiTP summer school that was held at Princeton University and the Institute for Advanced Study in July, 2015. They are devoted largely to topological phases of matter that can be understood in terms of free fermions and band theory. They also contain an introduction to the fractional quantum Hall effect from the point of view of effective field theory.
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Taxonomy
TopicsTopological Materials and Phenomena · Quantum and electron transport phenomena · Graphene research and applications