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• W3021056246 startingPage "056301" @default.
• W3021056246 abstract "Abstract Carbon allotropes such as diamond, nano-tube, Fullerene, and Graphene were discovered and revolutionised material sciences. These structures have unique translational and rotational symmetries, described by a crystallographic group theory, and the atoms are arranged at specific rigid positions in 3-dimensional ( D ) space. Regardless of these exotic molecular structures, the structures of materials are topologically trivial in a mathematical sense, that their bonds are connected without a link nor a knot. These days, the progress on the synthetic chemistry is significant to make various topologically non-trivial molecular structures. Topological molecules (0 D ) including Trefoil knots, a Hopf-link, a Möbius strip, and Borromean rings, were already realised. However, their potentially exotic electronic properties have not been sufficiently explored. Here, we propose a new 3D carbon allotrope, named Hopfene, which has periodic arrays of Hopf-links to knit horizontal Graphene sheets into vertical ones without connecting by σ bonds. We conducted an ab inito band structure calculation using a Density-Functional-Theory (DFT) for Hopfene, and found that it is well-described by a tight-binding model. We confirmed the original Dirac points of 2 D Graphene were topologically protected upon the introduction of the Hopf links, and low-energy excitations are described by 1 D , 2 D , and 3 D gapless Fermions." @default.
• W3021056246 created "2020-05-13" @default.
• W3021056246 creator A5012385532 @default.
• W3021056246 creator A5078914063 @default.
• W3021056246 date "2020-05-01" @default.
• W3021056246 modified "2023-10-02" @default.
• W3021056246 title "Topological carbon allotropes: knotted molecules, carbon-nano-chain, chainmails, and Hopfene" @default.
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• W3021056246 doi "https://doi.org/10.1088/2053-1591/ab8df3" @default.
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