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

Autor: Wakao, Hiromasa, Yoshida, Tsuneya, Mizoguchi, Tomonari, Hatsugai, Yasuhiro
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.7566/JPSJ.89.083702
Popis: 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.
Comment: 4 pages, 2 figures
Databáze: arXiv