Penrose 准晶体中的电子不稳定性：有序的竞争、共存与协作
Electronic instabilities in Penrose quasi-crystals: competition, coexistence and collaboration of order
AI总结：
本研究通过实空间泛函重整化群方法分析Penrose准晶体Hubbard模型，揭示了电荷与自旋的相互作用导致反铁磁、电荷密度波和超导配对等丰富相图，并发现相可竞争、共存或协作，表明准晶体为超越晶体的有序行为提供了新途径。
摘要：
准晶体缺乏平移对称性，但仍能表现出长程有序，这使它们成为超越晶体范式的非常规物理的候选者。在此，我们将实空间泛函重整化群方法应用于典型的准晶 Penrose 铺砌 Hubbard 模型，以无偏、超越平均场的方式处理相互竞争的电子不稳定性。我们的工作揭示了准晶体中电荷与自旋自由度之间微妙的相互作用。根据相互作用范围和跳跃振幅，我们揭示了丰富的相图，包括反铁磁有序、电荷密度波和次主导的超导配对倾向。对于某些参数区域，我们发现了相的竞争，这在晶体中也很常见，但此外还遇到了以空间分离方式共存的相，以及相互协作以增强其强度的有序倾向。因此，我们确定准晶体结构为这种晶体中不常见的丰富有序行为开辟了道路，并且无偏、超越平均场的方法对于正确描述准晶体的这种物理是必不可少的。
英文摘要：
Quasicrystals lack translational symmetry, but can still exhibit long-ranged order, promoting them to candidates for unconventional physics beyond the paradigm of crystals. Here, we apply a real-space functional renormalization group approach to the prototypical quasicrystalline Penrose tiling Hubbard model treating} competing electronic instabilities in an unbiased, beyond-mean-field fashion. {\color{red} Our work reveals a delicate interplay between charge and spin degrees of freedom in quasicrystals}. Depending on the range of interactions and hopping amplitudes, we unveil a rich phase diagram including antiferromagnetic orderings, charge density waves and subleading, superconducting pairing tendencies. For certain parameter regimes we find a competition of phases, which is also common in crystals, but additionally encounter phases coexisting in a spatially separated fashion and ordering tendencies which mutually collaborate to enhance their strength. We therefore establish that quasicrystalline structures open up a route towards this rich ordering behavior uncommon to crystals and that an unbiased, beyond-mean-field approach is essential to describe this physics of quasicrystals correctly.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
