journal article·2023-03-25Open access

Hierarchies of Hofstadter butterflies in 2D covalent organic frameworks

David Bodesheim, Robert Biele, Gianaurelio Cuniberti

Abstract

Abstract 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 technology. This work opens the door to make 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 2D covalent organic framework adds additional complexity and beauty to the original butterflies and leads to a direct accessible playground for new physical observations.
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Research context

OpenAlex topics: Covalent Organic Framework Applications · Graphene research and applications · Topological Materials and Phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

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