We propose a band engineering scheme on the biphenylene network, a newly synthesized carbon allotrope. We illustrate that the electronic structure of the biphenylene network can be significantly altered by controlling conditions affecting the symmetry and destructive interference of wave functions through periodic fluorination. First, we investigate the mechanism for the appearance of a type-II Dirac fermion in a pristine biphenylene network. We show that the essential ingredients are mirror symmetries and stabilization of the compact localized eigenstates via destructive interference. While the former is used for the band-crossing point along high symmetry lines, the latter induces highly inclined Dirac dispersions. Subsequently, we demonstrate the transformation of the biphenylene network’s type-II Dirac semimetal phase into various Dirac phases such as type-I Dirac, gapped type-II Dirac, and nodal line semimetals through the deliberate disruption of mirror symmetry or modulation of destructive interference by varying the concentration of fluorine atoms.

中文翻译：

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通过氟吸附原子设计功能化联苯中的二维节点半金属

我们提出了一种新合成的碳同素异形体联苯网络的能带工程方案。我们证明，通过周期性氟化控制影响波函数对称性和相消干涉的条件，可以显着改变联苯撑网络的电子结构。首先，我们研究了原始亚联苯网络中出现 II 型狄拉克费米子的机制。我们表明，基本成分是镜像对称性和通过相消干涉来稳定致密局域本征态。前者用于沿高对称线的能带交叉点，后者则产生高度倾斜的狄拉克色散。随后，我们证明了通过故意破坏镜像对称性或调制相消干涉，联苯撑网络的 II 型狄拉克半金属相转变为各种狄拉克相，例如 I 型狄拉克、有间隙的 II 型狄拉克和节线半金属。改变氟原子的浓度。