Analytical expressions for electrostatics of graphene structures

作者：Georgantzinos K^*; Giannopoulos G I; Fatsis A; Vlachakis N V

来源：Physica E: Low-Dimensional Systems and Nanostructures , 2016, 84: 27-36.

DOI：10.1016/j.physe.2016.05.028

• Graphene structures
• Electrostatics
• Capacitance
• Total charge
• Charge distribution

This study focuses on electrostatics of various graphene structures as graphene monolayer, graphene nanoribbons, as well as multi-layer graphene or graphene flakes. An atomistic moment method based on classical electrostatics is utilized in order to evaluate the charge distribution in each nanostructure. Assuming a freestanding graphene structure in an infinite or in a semi-infinite space limited by a grounded infinite plane, the effect of the length, width, number of layers and position of the nanostructure on its electrostatic charge distributions and total charge and capacitance is examined through a parametric analysis. The results of the present show good agreement with corresponding available data in the literature, obtained from different theoretical approaches. Performing nonlinear regression analysis on the numerical results, where it is possible, simple analytical expressions are proposed for the total charge and charge distribution prediction based on structure geometry.

• 出版日期2016-10