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Type: Journal article
Title: Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices
Author: Gomi, K.
Thiang, G.
Citation: Letters in Mathematical Physics, 2019; 109(4):857-904
Publisher: Springer Nature
Issue Date: 2019
ISSN: 0377-9017
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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.
Keywords: Bulk-edge correspondence; topological crystalline insulators; twisted K-theory; Toeplitz index theorem
Rights: © Springer Nature B.V. 2018.
DOI: 10.1007/s11005-018-1129-1
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