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Size Effect of Electronic States in Graphene Quantum Disk

LI Xin;FENG Xiao-bo;LI Zhi-song;School of Physics and Electronic Information,Yunnan Normal University;  
In this paper,we studied the disk radius R graphene quantum dots of electronic spectroscopy by solving the Dirac equation of electron.We obtained two shapes of armrest and saw boundary of graphene quantum disk electronic energy level in the situation of whether with applied magnetic field or not,along with the change of radius of the quantum disk,respectively.The result of the research showed that the energy level of electron is inversely proportional to the radius of the quantum disk with no additional magnetic field.However,with the condition of additional magnetic field,the armchair quantum disk shows the least Landau energy level in degeneracy and it is proportional to radius.The energy level with positive value of quantum number m of the zigzag quantum disk is proportional to radius and with negative value is inverse proportional to radius,which means the energy spectrum has sloped to the left.
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