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arXiv · 1005.3213

Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock

Michael Stone·Ching-Kai Chiu·Abhishek Roy
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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 underly the properties of topological insulators, spin Hall systems, and other topologically interesting materials.

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Michael Stone, Ching-Kai Chiu, Abhishek Roy. 2010-05-18. Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock. https://doi.org/10.1088/1751-8113/44/4/045001

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