The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices

Abstract

A weak topological insulator in dimension $3$ is known to have a topologically protected gapless mode along the screw dislocation. In this paper we formulate and prove this fact with the language of C*-algebra K-theory. The proof is based on the coarse index theory of the helical surface.

arXiv comment17 pages

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Cited by in corpus (4)

• Delocalized spectra of Landau operators on helical surfaces
• Topological Lattice Defects by Groupoid Methods and Kasparov's KK-Theory
• Topological magnonic dislocations modes
• Interfaces of discrete systems - spectral and index properties