English

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

Mathematical Physics 2021-09-01 v1 K-Theory and Homology math.MP

Abstract

A weak topological insulator in dimension 33 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.

Keywords

Cite

@article{arxiv.2103.13277,
  title  = {The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices},
  author = {Yosuke Kubota},
  journal= {arXiv preprint arXiv:2103.13277},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-24T00:31:21.665Z