Higher-order topology in honeycomb lattice with Y-Kekulé distortions

Abstract

We investigate higher-order topological states in honeycomb lattice with Y-Kekulé distortions that preserve $C_{6v}$ crystalline symmetry. The gapped states in expanded and shrunken distortions are adiabatically connected to isolated hexamers and Y-shaped tetramer states, respectively, where the former possesses nontrivial higher-order topology characterized by a ${\mathbb{Z}}_6$ invariant. Topological corner states exist in a flake structure with expanded distortion where the hexamers are broken at the corners. Our work reveals that honeycomb lattice with Y-Kekulé distortions serves as a promising platform to study higher-order topological states.

arXiv comment5 pages, 3 figures

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Cited by in corpus (3)

• Third-order Orbital Corner State and its Realization in Acoustic Crystals
• Emergence of Meron Kekulé lattices in twisted Néel antiferromagnets
• Periodic Behavior of Topology in Graphene with Nanohole Array