Abstract
We construct a two-dimensional higher-order topological phase protected by a quasicrystalline eightfold rotation symmetry. Our tight-binding model describes a superconductor on the Ammann-Beenker tiling hosting localized Majorana zero modes at the corners of an octagonal sample. In order to analyze this model, we introduce Hamiltonians generated by a local rule, and use this concept to identify the bulk topological properties. We find a Z2 bulk topological invariant protecting the corner modes. Our work establishes that there exist topological phases protected by symmetries impossible in a crystal.
Original language | English |
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Article number | 196401 |
Number of pages | 6 |
Journal | Physical Review Letters |
Volume | 123 |
Issue number | 19 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- exotic phases of matter
- majorana bound states
- symmetry protected topological states
- topological materials