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• W1855361620 abstract "We analyze the topological $mathbb{Z}_2$ invariant, which characterizes time reversal invariant topological insulators, in the framework of index theory and K-theory. The topological $mathbb{Z}_2$ 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 $mathbb{Z}_2$ invariant. Finally, we give a new version of the bulk-boundary correspondence which yields an alternative explanation of the index theorem and the topological $mathbb{Z}_2$ invariant. Here the boundary is not the geometric boundary of a probe, but an effective boundary in the momentum space." @default.
• W1855361620 created "2016-06-24" @default.
• W1855361620 creator A5038851564 @default.
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• W1855361620 date "2015-10-27" @default.
• W1855361620 modified "2023-10-16" @default.
• W1855361620 title "Topological insulators and K-theory" @default.
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• W1855361620 hasPublicationYear "2015" @default.
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