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A Lieb-like lattice in a covalent-organic framework and its Stoner ferromagnetism

Author

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  • Wei Jiang

    (University of Utah
    University of Minnesota)

  • Huaqing Huang

    (University of Utah)

  • Feng Liu

    (University of Utah
    Collaborative Innovation Center of Quantum Matter)

Abstract

Lieb lattice has been extensively studied to realize ferromagnetism due to its exotic flat band. However, its material realization has remained elusive; so far only artificial Lieb lattices have been made experimentally. Here, based on first-principles and tight-binding calculations, we discover that a recently synthesized two-dimensional sp2 carbon-conjugated covalent-organic framework (sp2c-COF) represents a material realization of a Lieb-like lattice. The observed ferromagnetism upon doping arises from a Dirac (valence) band in a non-ideal Lieb lattice with strong electronic inhomogeneity (EI) rather than the topological flat band in an ideal Lieb lattice. The EI, as characterized with a large on-site energy difference and a strong dimerization interaction between the corner and edge-center ligands, quenches the kinetic energy of the usual dispersive Dirac band, subjecting to an instability against spin polarization. We predict an even higher spin density for monolayer sp2c-COF to accommodate a higher doping concentration with reduced interlayer interaction.

Suggested Citation

  • Wei Jiang & Huaqing Huang & Feng Liu, 2019. "A Lieb-like lattice in a covalent-organic framework and its Stoner ferromagnetism," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-10094-3
    DOI: 10.1038/s41467-019-10094-3
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    Cited by:

    1. Xin Zhang & Xiaoyin Li & Zhengwang Cheng & Aixi Chen & Pengdong Wang & Xingyue Wang & Xiaoxu Lei & Qi Bian & Shaojian Li & Bingkai Yuan & Jianzhi Gao & Fang-Sen Li & Minghu Pan & Feng Liu, 2024. "Large-scale 2D heterostructures from hydrogen-bonded organic frameworks and graphene with distinct Dirac and flat bands," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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