Realization of Lieb lattice in covalent-organic frameworks with tunable topology and magnetism.

Cui, Bin; Zheng, Xingwen; Wang, Jianfeng; Liu, Desheng; Xie, Shijie; Huang, Bing · Nat Commun · 2020

basic_science · Level V

Where this comes from

Abstract

Lieb lattice has been predicted to host various exotic electronic properties due to its unusual Dirac-flat band structure. However, the realization of a Lieb lattice in a real material is still unachievable. Based on tight-binding modeling, we find that the lattice distortion can significantly determine the electronic and topological properties of a Lieb lattice. Importantly, based on first-principles calculations, we predict that the two existing covalent organic frameworks (COFs), i.e., sp<sup>2</sup>C-COF and sp<sup>2</sup>N-COF, are actually the first two material realizations of organic-ligand-based Lieb lattice. Interestingly, the sp<sup>2</sup>C-COF can experience the phase transitions from a paramagnetic state to a ferromagnetic one and then to a Néel antiferromagnetic one, as the carrier doping concentration increases. Our findings not only confirm the first material realization of Lieb lattice in COFs, but also offer a possible way to achieve tunable topology and magnetism in organic lattices.