Higher-Order Topological Phase in a Honeycomb-Lattice Model with Anti-Kekulé Distortion

Abstract

Higher-order topological insulators have attracted considerable interests as a novel topological phase of matter, where topologically non-trivial nature of bulk protects boundary states whose co-dimension is larger than one. It has been revealed that the alternating pattern of hopping amplitudes in two-dimensional lattices provides a promising route to realization of the higher-order topological insulators. In this paper, we propose that a honeycomb-lattice model with anti-Kekulé distortion hosts a higher-order topological phase. Here, the term anti-Kekulé distortion means that the pattern of strong and weak hoppings is opposite to that for the conventional Kekulé distortion. We demonstrate the existence of the higher-order topological phase by calculating the ${\mathbb{Z}}_6$ Berry phase that serves as a bulk topological invariant of the higher-order topological phase, and by showing the existence of corner states.

6 pages, 7 figures