Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator

Abstract

The experimental realization of twisted bilayer graphene strongly pushed the inspection of bilayer systems. In this context, it was recently shown that a two layer Haldane model with a thirty degree rotation angle between the layers represents a higher order topological insulator, with zero-dimensional states isolated in energy and localized at the physical vertices of the nanostructure. We show, within a numerical tight binding approach, that the energy of the zero dimensional states strongly depends on the geometrical structure of the vertices. In the most extreme cases, once a specific band gap is considered, these bound states can even disappear just by changing the vertex structure.

arXiv comment12 pages, 6 figures, published on Symmetry

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Cited by in corpus (2)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Higher-order topology in twisted multilayer systems: a review