摘要
Biphenylene is a new topological material that has attracted much attention recently.By amplifying its size of unit cell,we construct a series of planar structures as homogeneous carbon allotropes in the form of polyphenylene networks.We first use the low-energy effective model to prove the topological three periodicity for these allotropes.Then,through first-principles calculations,we show that the topological phase has the Dirac point.As the size of per unit cell increases,the influence of the quaternary rings decreases,leading to a reduction in the anisotropy of the system,and the Dirac cone undergoes a transition from type II to type I.We confirm that there are two kinds of non-trivial topological phases with gapless and gapped bulk dispersion.Furthermore,we add a built-in electric field to the gapless system by doping with B and N atoms,which opens a gap for the bulk dispersion.Finally,by manipulating the built-in electric field,the dispersion relations of the edge modes will be transformed into a linear type.These findings provide a hopeful approach for designing the topological carbon-based materials with controllable properties of edge states.
作者
杨柠境
杨海
金国钧
Ningjing Yang;Hai Yang;Guojun Jin(School of Physics Science and Technology,Kunming University,Kunming 650214,China;National Laboratory of Solid State Microstructures,Department of Physics,and Collaborative Innovation Center of Advanced Microstructures,Nanjing University,Nanjing 210093,China)
基金
Project supported by the National Natural Science Foundation of China (Grant Nos.12074156 and 12164023)
the Yunnan Local College Applied Basic Research Projects (Grant No.2021Y710)。
