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Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock
- Source :
- J. Phys. A: Math. Theor. 44 045001 (2011)
- Publication Year :
- 2010
-
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.<br />Comment: RevTeX 28 pages, no figures.
- Subjects :
- Condensed Matter - Mesoscale and Nanoscale Physics
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 44 045001 (2011)
- Publication Type :
- Report
- Accession number :
- edsarx.1005.3213
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/44/4/045001