First-principles design of a half-filled flat band of the kagome lattice in two-dimensional metal-organic frameworks
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PhysRevB.94.081102.pdf
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Author(s) • • • • •
Yamada, Masahiko G.
Tsuji, Naoto
Hirai, Daisuke
Aoki, Hideo
Soejima, Tomohiro
Dinca, Mircea
Date Issued
August 2016
Journal
Physical Review B
Publisher
American Physical Society
Citation
Yamada, Masahiko G.; Soejima, Tomohiro; Tsuji, Naoto; Hirai, Daisuke; Dincă, Mircea and Aoki, Hideo. "First-principles design of a half-filled flat band of the kagome lattice in two-dimensional metal-organic frameworks." Physical Review B 94, 081102(R) (August 2016): 1-5 © 2016 American Physical Society
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Final published version
Abstract
We design from first principles a type of two-dimensional metal-organic framework (MOF) using phenalenyl-based ligands to exhibit a half-filled flat band of the kagome lattice, which is one of a family of lattices that show Lieb-Mielke-Tasaki's flat-band ferromagnetism. Among various MOFs, we find that trans-Au-THTAP (THTAP=trihydroxytriaminophenalenyl) has such an ideal band structure, where the Fermi energy is adjusted right at the flat band due to unpaired electrons of radical phenalenyl. The spin-orbit coupling opens a band gap giving a nonzero Chern number to the nearly flat band, as confirmed by the presence of the edge states in first-principles calculations and by fitting to the tight-binding model. This is a novel and realistic example of a system in which a nearly flat band is both ferromagnetic and topologically nontrivial.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.94.081102