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基于有限差分方法,数值求解了Dirac方程,研究了垂直磁场下的点缺陷扶手型石墨烯量子点的能谱结构,分析了尺寸大小对带隙的影响.与无磁场时具有一定带隙(带隙的大小与半径成反比)的量子点相比,在外加有限磁场下,能谱中出现朗道能级,最低朗道能级能量为零并与磁场强度无关,并且朗道能级的简并度随着磁场的增加而增加.进一步的计算表明,最低朗道能级的简并度与磁场成线性关系,与半径的平方成线性关系.本文工作对基于石墨烯量子点的器件设计具有一定的指导意义.
Based on the finite difference method, the Dirac equation is numerically solved and the energy spectrum structure of point-defect graphene graphene quantum dots under perpendicular magnetic field is studied. The effect of size on the band gap is analyzed. The size of the gap is inversely proportional to the radius of the quantum dot compared to the presence of a limited magnetic field in the energy spectrum of Landau level, the lowest Longau level energy is zero and has nothing to do with the magnetic field intensity, and Landau level of Jane And further increase with the increase of the magnetic field.Further calculations show that the degeneracy of the lowest Landau level is linear with the magnetic field and linearly proportional to the square of the radius.The work in this paper is based on the design of devices based on graphene quantum dots A certain guiding significance.