J. Phys. Soc. Jpn. 89, 083702 (2020) [4 Pages]
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LETTERS

Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure

Hiromasa Wakao1, Tsuneya Yoshida2 , Tomonari Mizoguchi2 , and Yasuhiro Hatsugai2
+ Affiliations
1Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan2Department of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Received May 6, 2020; Accepted June 17, 2020; Published July 9, 2020

We propose how to realize the topological modes, which correspond to topological zero modes for a quantum system, protected by chiral and rotation symmetry for a mechanical system. Specifically, we show the emergence of topological modes protected by chiral and two-fold rotational symmetry by a spring-mass system with a Lieb lattice structure and dents on the floor. Moreover, comparing the results of a tight-binding model, we have found the additional topological modes for our spring-mass model due to the extra degrees of freedoms. Our approach to realize the topological modes can be applied to other cases with rotation symmetry, e.g., a system of a honeycomb lattice with three-fold rotational symmetry.

©2020 The Physical Society of Japan
https://doi.org/10.7566/JPSJ.89.083702

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