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

Michael Stone, Ching Kai Chiu, Abhishek Roy

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number045001
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number4
DOIs
StatePublished - Jan 28 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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