Order to disorder in quasiperiodic composites
Order to disorder in quasiperiodic composites
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DOI：
10.1038/s42005-022-00898-z
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发表时间：
2022-06
影响因子：
5.5
通讯作者：
D. Morison;N. B. Murphy;E. Cherkaev;K. Golden
中科院分区：
文献类型：
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作者：
D. Morison;N. B. Murphy;E. Cherkaev;K. Golden
从准晶合金到扭曲双层石墨烯，对准周期结构所产生的材料特性的研究推动了理论和应用科学的进步。在这里，我们介绍了一类两相复合材料，结构确定性的莫尔图案，我们发现，这些复合材料显示异国情调的行为，在其散装的电，磁，扩散，热，和光学性能。随着扭转角的微小变化，微结构从周期性变为准周期性，并且输运性质从有序材料切换到随机无序材料。当我们把经典输运系数和微观几何之间的关系提炼成类似于量子物理中的哈密顿算子的谱性质时，这种转变是显而易见的。我们观察到这种有序到无序的转变，在带隙，场局部化，和流动性边缘类似于安德森过渡-即使没有波散射或干涉效应在这里发挥作用。
From quasicrystalline alloys to twisted bilayer graphene, the study of material properties arising from quasiperiodic structure has driven advances in theory and applied science. Here we introduce a class of two-phase composites, structured by deterministic Moiré patterns, and we find that these composites display exotic behavior in their bulk electrical, magnetic, diffusive, thermal, and optical properties. With a slight change in the twist angle, the microstructure goes from periodic to quasiperiodic, and the transport properties switch from those of ordered to randomly disordered materials. This transition is apparent when we distill the relationship between classical transport coefficients and microgeometry into the spectral properties of an operator analogous to the Hamiltonian in quantum physics. We observe this order to disorder transition in terms of band gaps, field localization, and mobility edges analogous to Anderson transitions — even though there are no wave scattering or interference effects at play here.