• Corpus ID: 119604729

Bott--Kitaev periodic table and index theory

@article{Li2017BottKitaevPT,
  title={Bott--Kitaev periodic table and index theory},
  author={Dan Li},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
  • Dan Li
  • Published 4 October 2017
  • Physics, Mathematics
  • arXiv: Mathematical Physics
We consider topological insulators and superconductors with discrete symmetries and clarify the relevant index theory behind the periodic table proposed by Kitaev. An effective Hamiltonian determines the analytical index, which can be computed by a topological index. We focus on the spatial dimensions one, two and three, and only consider the bulk theory. In two dimensions, the $\mathbb{Z}$-valued invariants are given by the first Chern number. Meanwhile, $\mathbb{Z}_2$-valued invariants can… 

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