Lecture Notes on Berry Phases and Topology

Abstract

In these notes, we review the role of Berry phases and topology in noninteracting electron systems. Topics including the adiabatic theorem, parallel transport, and Wannier functions are reviewed, with a focus on the connection to topological insulators.

41+epsilon pages, 14 figures. Based on a series of talks at the 2018 Topological Matter School in Donostia-San Sebastian. Submission to SciPost Physics Lecture Notes

References in corpus (2)

• Wannier representation of Z_2 topological insulators
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations

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