Berry curvature and energy bands of graphene

International Journal of Nano Dimension

مقاله 11، دوره 3، شماره 4، شهریور 2013، صفحه 329-332   

نوع مقاله: Short Communication

شناسه دیجیتال (DOI): 10.7508/ijnd.2012.04.010

نویسندگان

T. Farajollahpour^* ؛ A. Rezvani؛ M. R. Khodarahmi؛ M. Arasteh

Department of physics, Faculty of science, I.H.U Tehran, Iran.

چکیده

In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave function the Berry connection and Berry curvature of our system are calculated. Our results are exactly consistent with previous methods and the Berry curvature throughout the Brillouin zone get zero.

کلیدواژه‌ها

Graphene؛ Tight binding model؛ Band Structure؛ Berry curvature؛ Brillouin zone