Boundary edge networks induced by bulk topology

We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator and three-dimensional topological fullerenes, which involve...

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Bibliographic Details
Published in:Physical review. B 2019-04, Vol.99 (15), p.155102, Article 155102
Main Authors: Wang, Yan-Qi, Moore, Joel E.
Format: Article
Language:English
Subjects:
Fullerenes
Solitary waves
Topological insulators
Topology
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Summary:We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator and three-dimensional topological fullerenes, which involve multileg junctions. As a consequence of bulk-edge correspondence, these edge networks can faithfully predict properties such as the energy and fractional charge related to the bound states (edge solitons) in the aforementioned systems, including several aspects that were previously complicated or obscure.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.99.155102