{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:30:32Z","timestamp":1772253032509,"version":"3.50.1"},"reference-count":78,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,8,19]],"date-time":"2022-08-19T00:00:00Z","timestamp":1660867200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"\u201cDipartimento di Eccellenza MIUR 2018-2022\u201d"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym14081736","type":"journal-article","created":{"date-parts":[[2022,8,22]],"date-time":"2022-08-22T01:56:40Z","timestamp":1661133400000},"page":"1736","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator"],"prefix":"10.3390","volume":"14","author":[{"given":"Simone","family":"Traverso","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niccol\u00f2","family":"Traverso Ziani","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy"},{"name":"CNR SPIN, Via Dodecaneso 33, 16146 Genova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maura","family":"Sassetti","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy"},{"name":"CNR SPIN, Via Dodecaneso 33, 16146 Genova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1057","DOI":"10.1103\/RevModPhys.83.1057","article-title":"Topological insulators and superconductors","volume":"83","author":"Qi","year":"2011","journal-title":"Rev. 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