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arXiv · 1906.07928

Higher-Order Topological Phase in a Honeycomb-Lattice Model with Anti-Kekul\'{e} Distortion

Tomonari Mizoguchi·Hiromu Araki·Yasuhiro Hatsugai
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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-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.

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Tomonari Mizoguchi, Hiromu Araki, Yasuhiro Hatsugai. 2019-06-19. Higher-Order Topological Phase in a Honeycomb-Lattice Model with Anti-Kekul\'{e} Distortion. https://doi.org/10.7566/jpsj.88.104703

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