论文标题
通过对称放松和光滑的拓扑指标发现拓扑超材料
Discovery of topological metamaterials by symmetry relaxation and smooth topological indicators
论文作者
论文摘要
对小扰动的鲁棒性是拓扑特性的关键特征。这种鲁棒性既是理论上的兴趣的来源，又是技术应用的动力，但是在寻找新的拓扑系统时会提出挑战：不能使用小型扰动来识别拓扑指数的全球变化方向。在这里，我们通过打破保护拓扑的对称性来克服这一局限性。对称性术语的引入导致拓扑指数变为非量化变量，这是基于梯度方法的有效设计算法的。我们通过设计离散和连续的语音系统来实现常规和高阶拓扑绝缘子来证明这种功能。
Robustness against small perturbations is a crucial feature of topological properties. This robustness is both a source of theoretical interest and a drive for technological applications, but presents a challenge when looking for new topological systems: Small perturbations cannot be used to identify the global direction of change in the topological indices. Here, we overcome this limitation by breaking the symmetries protecting the topology. The introduction of symmetry-breaking terms causes the topological indices to become non-quantized variables, which are amenable to efficient design algorithms based on gradient methods. We demonstrate this capability by designing discrete and continuous phononic systems realizing conventional and higher-order topological insulators.
