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Farajollahpour, T., Rezvani, A., Khodarahmi, M., Arasteh, M. (2013). Berry curvature and energy bands of graphene. International Journal of Nano Dimension, 3(4), 329-332. doi: 10.7508/ijnd.2012.04.010
T. Farajollahpour; A. Rezvani; M. R. Khodarahmi; M. Arasteh. "Berry curvature and energy bands of graphene". International Journal of Nano Dimension, 3, 4, 2013, 329-332. doi: 10.7508/ijnd.2012.04.010
Farajollahpour, T., Rezvani, A., Khodarahmi, M., Arasteh, M. (2013). 'Berry curvature and energy bands of graphene', International Journal of Nano Dimension, 3(4), pp. 329-332. doi: 10.7508/ijnd.2012.04.010
Farajollahpour, T., Rezvani, A., Khodarahmi, M., Arasteh, M. Berry curvature and energy bands of graphene. International Journal of Nano Dimension, 2013; 3(4): 329-332. doi: 10.7508/ijnd.2012.04.010

Berry curvature and energy bands of graphene

Article 11, Volume 3, Issue 4, Spring 2013, Page 329-332  XML PDF (496 K)
Document Type: Short Communication
DOI: 10.7508/ijnd.2012.04.010
Authors
T. Farajollahpour ; A. Rezvani; M. R. Khodarahmi; M. Arasteh
Department of physics, Faculty of science, I.H.U Tehran, Iran.
Abstract
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.
Keywords
graphene; Tight binding model; Band structure; Berry curvature; Brillouin zone
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