Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices
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2019
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Gomi, K.
Thiang, G.
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Letters in Mathematical Physics, 2019; 109(4):857-904
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Kiyonori Gomi, Guo Chuan Thiang
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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.
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© Springer Nature B.V. 2018.