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arXiv 1802.04404cond-mat.mes-hall
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Kagome格中边波的拓扑力学

Topological mechanics of edge waves in Kagome lattices

Hui Chen, Hussein Nassar, Guoliang Huang

摘要:

拓扑绝缘体是一种新的物质相,其性质来源于一些定性但稳健的拓扑不变量,而不是特定的几何特征或本构参数。在这里,Kagome晶格分类的基础上,一对椭圆偏振的固定本征模的手性直接相关的拓扑不变量的上下文中被称为“量子谷霍尔效应“在物理学文献中。分隔两个拓扑上不同的格的界面,即,两个具有不同拓扑不变量的格,然后证明主机两个拓扑斯通利波的频率,形状和衰减和传播速度进行量化。相反,分离两个拓扑等价的晶格的界面将不存在斯通利波。分析是基于一个渐进模型,通过修改后的高频均匀化程序。这个案例研究构成了量子谷霍尔效应在平面弹性的第一个实施。一维晶格的初步讨论包括在一个简单的分析框架拓扑效应提供相关的背景。

英文摘要:

Topological insulators are new phases of matter whose properties are derived from a number of qualitative yet robust topological invariants rather than specific geometric features or constitutive parameters. Here, Kagome lattices are classified based on a topological invariant directly related to the handedness of a couple of elliptically polarized stationary eigenmodes in the context of what is known as the "quantum valley Hall effect" in physics literature. An interface separating two topologically distinct lattices, i.e., two lattices with different topological invariants, is then proven to host two topological Stoneley waves whose frequencies, shapes and decay and propagation velocities are quantified. Conversely, an interface separating two topologically equivalent lattices will host no Stoneley waves. Analysis is based on an asymptotic model derived through a modified high-frequency homogenization procedure. This case study constitutes the first implementation of the quantum valley Hall effect in in-plane elasticity. A preliminary discussion of 1D lattices is included to provide relevant background on topological effects in a simple analytical framework.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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