Traverso, S.; Traverso Ziani, N.; Sassetti, M. Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator. Symmetry2022, 14, 1736.
Traverso, S.; Traverso Ziani, N.; Sassetti, M. Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator. Symmetry 2022, 14, 1736.
Traverso, S.; Traverso Ziani, N.; Sassetti, M. Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator. Symmetry2022, 14, 1736.
Traverso, S.; Traverso Ziani, N.; Sassetti, M. Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator. Symmetry 2022, 14, 1736.
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.
Keywords
Higher order topological insulators; quasicrystals; bound states
Subject
Physical Sciences, Condensed Matter Physics
Copyright:
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