Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

Kiyonori Gomi, Guo Chuan Thiang

ABSTRACT

A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable cycle of the Klein bottle fundamental domain. We prove a mod 2 twisted Toeplitz index theorem, which implies a bulk-edge correspondence between this bulk phase and the exotic topological zero modes that it acquires along a boundary glide axis. More... »

PAGES

857-904

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11005-018-1129-1

DOI

http://dx.doi.org/10.1007/s11005-018-1129-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107536728


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50 schema:description A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable cycle of the Klein bottle fundamental domain. We prove a mod 2 twisted Toeplitz index theorem, which implies a bulk-edge correspondence between this bulk phase and the exotic topological zero modes that it acquires along a boundary glide axis.
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