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) |
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Article number | 045001 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 44 |
Issue number | 4 |
DOIs | |
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