论文标题
2D共价有机框架中霍夫斯塔特蝴蝶的等级制度
Hierarchies of Hofstadter butterflies in 2D covalent-organic frameworks
论文作者
论文摘要
Hofstadter Butterfly是在垂直磁场刺穿的晶格中自由电子的第一个也是最引人入胜的例子之一。但是，由于需要非常强，难以访问的磁场，因此对单层材料的直接实验验证仍然缺失。因此，它的间接实验验证仅在人工周期性2D系统（例如MoiréLattices）中实现。最近合成的唯一合成的2D共价框架可能会避免这种限制：由于它们的较大孔结构，检测到Hofstadter蝴蝶大多数特征所需的磁场确实可以使用当今技术访问。这项工作打开了使70年代可衡量的异国情调和理论问题的大门，并可能解决了单层材料中Hofstadter Butterfly的实验验证的追求。此外，在2D共价框架中，不同孔径的内在层次结构为原始蝴蝶增添了更多的复杂性和美感，并导致了一个直接可访问的新物理观察的操场。
The Hofstadter butterfly is one of the first and most fascinating examples of the fractal and self-similar quantum nature of free electrons in a lattice pierced by a perpendicular magnetic field. However, the direct experimental verification of this effect on single-layer materials is still missing as very strong and inaccessible magnetic fields are necessary. For this reason, its indirect experimental verification has only been realized in artificial periodic 2D systems, like moiré lattices. The only recently synthesized 2D covalent-organic frameworks might circumvent this limitation: Due to their large pore structures, magnetic fields needed to detect most features of the Hofstadter butterfly are indeed accessible with today's technology. This work opens the door to making this exotic and theoretical issue from the 70s measurable and might solve the quest for the experimental verification of the Hofstadter butterfly in single-layer materials. Moreover, the intrinsic hierarchy of different pore sizes in a 2D covalent-organic framework adds additional complexity and beauty to the original butterflies and leads to a directly accessible playground for new physical observations.
