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Article overview
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Topological phases without crystalline counterparts | | Daniel Varjas
; Alexander Lau
; Kim Pöyhönen
; Anton R. Akhmerov
; Dmitry I. Pikulin
; Ion Cosma Fulga
; | | Date: |
15 Apr 2019 | | Abstract: | We construct a higher-order topological phase protected by a point group
symmetry that is impossible in any crystalline system. The tight-binding model
describes a superconductor on a quasicrystalline Ammann-Beenker tiling which
hosts localized Majorana zero modes at the corners of an octagonal sample. The
Majorana modes are protected by particle-hole symmetry and by the combination
of an 8-fold rotation and in-plane reflection symmetry. We find a bulk
topological invariant associated with the presence of these zero modes, and
show that they are robust against large symmetry preserving deformations, as
long as the bulk remains gapped. The nontrivial bulk topology of this phase
falls outside all currently known classification schemes. | | Source: | arXiv, 1904.7242 | | Services: | Forum | Review | PDF | Favorites | |
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