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-Kekul\'{ e} distortion hosts a higher-order topological phase. Here, the term anti-Kekul\'{ e} distortion means that the pattern of strong and weak hoppings is opposite to that for the conventional Kekul\'{ e} 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.
Categories: cond-mat.mes-hall cond-mat.mtrl-sci