Observation of a higher-order topological bound state in the continuum
Alexander Cerjan, Marius J\"urgensen, Wladimir A. Benalcazar,, Sebabrata Mukherjee, Mikael C. Rechtsman

TL;DR
This paper experimentally demonstrates that higher-order topological insulators can host symmetry-protected corner states that remain localized without hybridizing with bulk states, even without a bulk bandgap, enabling new light control applications.
Contribution
It introduces the concept of symmetry-protected bound states in the continuum within higher-order topological insulators, expanding their potential functionalities.
Findings
Corner-localized modes are symmetry protected
States do not hybridize with bulk states without a bandgap
Potential for confining light in gapless systems
Abstract
Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological corner-localized modes of higher-order topological insulators can be symmetry protected bound states in the continuum; these states do not hybridize with the surrounding bulk states of the lattice even in the absence of a bulk bandgap. As such, this class of structures has potential applications in confining and controlling light in systems that do not support a complete photonic bandgap.
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