Topological insulators and K-theory
Oct 27, 2015Citations per year
Abstract: (arXiv)
We analyze the topological invariant, which characterizes time reversal invariant topological insulators, in the framework of index theory and K-theory. The topological invariant counts the parity of generalized Majorana zero modes, which can be interpreted as an analytical index. As we show, it fits perfectly into a mod 2 index theorem, and the topological index provides an efficient way to compute the topological invariant. Finally, we give a new version of the bulk-boundary correspondence which yields an alternative explanation of the index theorem and the topological invariant. Here the boundary is not the geometric boundary of a probe, but an effective boundary in the momentum space.Note:
- 57 pages, 8 figures
References(62)
Figures(8)
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