Lecture Notes on Berry Phases and Topology

Barry Bradlyn; Mikel Iraola

doi:10.21468/scipostphyslectnotes.51

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arXiv · 2111.08751

Lecture Notes on Berry Phases and Topology

Barry Bradlyn·Mikel Iraola

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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.

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Barry Bradlyn, Mikel Iraola. 2021-11-16. Lecture Notes on Berry Phases and Topology. https://doi.org/10.21468/scipostphyslectnotes.51

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