Symmetries, dimensions and topological insulators: The mechanism behind the face of the Bott clock

Michael Stone; Ching Kai Chiu; Abhishek Roy

doi:10.1088/1751-8113/44/4/045001

Symmetries, dimensions and topological insulators: The mechanism behind the face of the Bott clock

Michael Stone, Ching Kai Chiu, Abhishek Roy

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an account of some of the mathematics of Bott periodicity and the Atiyah, Bott, Shapiro construction. We apply these ideas to understanding the twisted bundles of electron bands that underlie the properties of topological insulators, spin Hall systems and other topologically interesting materials.

Original language	English (US)
Article number	045001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	44
Issue number	4
DOIs	https://doi.org/10.1088/1751-8113/44/4/045001
State	Published - Jan 28 2011

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/44/4/045001

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Symmetries, dimensions and topological insulators: The mechanism behind the face of the Bott clock

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