Boundary edge networks induced by bulk topology

Abstract

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 multi-leg 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.

arXiv comment15 pages, 8 figures

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• Effective Model for Fractional Topological Corner Modes in Quasicrystals
• Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Stable Flatbands, Topology, and Superconductivity of Magic Honeycomb Networks
• Second-order and real Chern topological insulator in twisted bilayer $\alpha$-graphyne
• Orbital doublet driven even-spin Chern insulators
• Time-Reversal Soliton Pairs In Even Spin-Chern-Number Higher-Order Topological Insulators
• Gapless States Localized along a Staircase Edge in Second-Order Topological Insulators
• (2+1)D topological phases with RT symmetry: many-body invariant, classification, and higher order edge modes
• Higher-Order Topology in Monolayer FeSe