Kavli Affiliate: Anton R. Akhmerov
| First 5 Authors: Helene Spring, Anton R. Akhmerov, Daniel Varjas, ,
| Summary:
Protection of topological surface states by reflection symmetry breaks down
when the boundary of the sample is misaligned with one of the high symmetry
planes of the crystal. We demonstrate that this limitation is removed in
amorphous topological materials, where the Hamiltonian is invariant on average
under reflection over any axis due to continuous rotation symmetry. While the
local disorder caused by the amorphous structure weakens the topological
protection, we demonstrate that the edge remains protected from localization.
In order to classify such phases we perform a systematic search over all the
possible symmetry classes in two dimensions and construct the example models
realizing each of the proposed topological phases. Finally, we compute the
topological invariant of these phases as an integral along a meridian of the
spherical Brillouin zone of an amorphous Hamiltonian.
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