论文标题
通过超材料中的Phason工程揭示了四维大厅效应的边界Weyl物理学
Revealing the boundary Weyl physics of the four-dimensional Hall effect via phason engineering in metamaterials
论文作者
论文摘要
从理论上讲，量子霍尔物理学已在4维和更高的情况下进行了预测。在假设的2N维度中，体积和边界的拓扑特征都表现为量化的非线性传输系数，这些系数分别与批量间隙投影的n-Chern数字以及（2N-1）-Dimemensional burgaries（2N-1）的Weyl Spectral spectultion的n-Chern数字连接起来。在这里，我们在超材料中介绍了Phason工程的概念，并将其用作访问和应用任意维度的量子厅物理学的工具。使用这些专门的设计原理，我们制造了一个可重新配置的二维通道晶体，居住在2座上的phason，使我们可以进入4维量子厅物理学。此外，我们提供了直接的实验确认，即拓扑边界谱在映射为准摩米塔的函数时会在Weyl奇点中组装。我们还证明了三维边界的Weyl物理学能够实现拓扑波转向。
Quantum Hall physics has been theoretically predicted in 4-dimensions and higher. In hypothetical 2n-dimensions, the topological characters of both the bulk and the boundary are manifested as quantized non-linear transport coefficients that connect, respectively, to the n-th Chern number of the bulk gap projection and to the n-th winding number of the Weyl spectral singularities on the (2n-1)-dimensional boundaries. Here, we introduce the concept of phason engineering in metamaterials and use it as a vehicle to access and apply the quantum Hall physics in arbitrary dimensions. Using these specialized design principles, we fabricate a re-configurable 2-dimensional aperiodic acoustic crystal with a phason living on a 2-torus, giving us access to the 4-dimensional quantum Hall physics. Also, we supply a direct experimental confirmation that the topological boundary spectrum assembles in a Weyl singularity when mapped as function of the quasi-momenta. We also demonstrate topological wave steering enabled by the Weyl physics of the 3-dimensional boundaries.
