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https://hdl.handle.net/2440/119417
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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 1573-0530 |
Statement of Responsibility: | 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 |
Grant ID: | http://purl.org/au-research/grants/arc/DE170100149 |
Published version: | http://dx.doi.org/10.1007/s11005-018-1129-1 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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