论文标题
在带有弹簧质量模型中受性手性和两倍旋转对称性保护的拓扑模式
Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure
论文作者
论文摘要
我们提出了如何实现拓扑模式，该模式与量子系统的拓扑零模式相对应，并受到机械系统的手性和旋转对称性的保护。具体而言，我们显示了由手性和两倍的旋转对称性保护的拓扑模式的出现，并通过弹簧质量系统具有Lieb晶格结构和地板上的凹痕。此外，比较了紧密结合模型的结果，由于自由度的额外程度，我们发现了春季质量模型的其他拓扑模式。我们意识到拓扑模式的方法可以应用于其他旋转对称性的情况，例如，具有三倍旋转对称性的蜂窝晶格系统。
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.
