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

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

2010-05-18

arxiv.org/abs/1005.3213v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX 28 pages, no figures.

Scientific paper

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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