Artificial frustrated systems offer a playground to study the emergent properties of interacting systems. Most work to date has been on spatially periodic systems, known as artificial spin ices when the interacting elements are magnetic. Here we have studied artificial magnetic quasicrystals based on quasiperiodic Penrose tiling patterns of interacting nanomagnets. We construct a low-energy configuration from a step-by-step approach that we propose as a ground state. Topologically induced emergent frustration means that this configuration cannot be constructed from vertices in their ground states. It has two parts, a quasi-one-dimensional ‘skeleton’ that spans the entire pattern and is capable of long-range order, surrounding ‘flippable’ clusters of macrospins that lead to macroscopic degeneracy. Magnetic force microscopy imaging of Penrose tiling arrays revealed superdomains that are larger for more strongly coupled arrays, especially after annealing the array above its blocking temperature.

人工受挫系统为研究相互作用系统的新兴特性提供了一个场所。迄今为止，大多数工作都在空间周期性系统上进行，当相互作用的元素具有磁性时，这种系统被称为人造自旋冰。在这里，我们研究了基于相互作用的纳米磁铁的准周期性彭罗斯平铺模式的人造磁性准晶体。我们通过建议作为基态的分步方法构造低能耗配置。拓扑引起的紧急挫折意味着无法从处于其基态的顶点构建此配置。它由两部分组成，一个跨整个模式的准一维“骨架”，能够长距离排序，围绕着导致宏观退化的“宏观”“可翻转”簇。