AI 中文总结
本研究通过蒙特卡洛与微磁计算，揭示了Ammann-Beenker人工自旋冰中顶点冻结顺序由局域环境决定，并提出结合长程有序与简并区域的解析基态。
AI 中文摘要
基于准周期几何结构的人工自旋冰仍未被充分探索。本文研究了一种基于八角形Ammann-Beenker镶嵌的人工自旋冰，其六种顶点类型呈现出在周期晶格中无法实现的局域环境。通过结合偶极耦合宏自旋的蒙特卡洛模拟与单个顶点能量的微磁计算，我们发现顶点类型按一种顺序冻结，该顺序并非由配位数决定，而是由五岛顶点处的准简并能级及其局域环境决定。低能态中的激发相应地局域于特定的、由几何决定的位点。利用二次膨胀替换规则作为能量骨架，我们提出了一种解析基态，该基态结合了长程有序的固定自旋网络与稀疏的简并区域。
英文摘要
Artificial spin ices built on quasiperiodic geometries remain under-explored. Here we investigate an ASI based on the octagonal Ammann-Beenker tiling, whose six vertex types present local environments inaccessible in periodic lattices. Combining Monte Carlo simulations of dipolar-coupled macrospins with micromagnetic calculations of individual vertex energies, we find that vertex types freeze in an order set not by coordination number, but by quasi-degenerate levels at five-island vertices and their local environment. Excitations in the low energy state are correspondingly localised to specific, geometrically determined sites. Using twice-inflated substitution rules as an energetic backbone, we propose an analytical ground state combining a long-range ordered fixed spin network with a sparse set of degenerate regions.
Comments15 pages, 11 figures
