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  Global Journal of Physical Chemistry. Volume 2, Issue 2 (2011) pp. 136-139
  Research Article Free Article
Extended Hubbard model on two dimensional hexagonal lattice: Application to graphene
  A. Zouhaira, M. Bennaia, Y. Boughaleba,b,c  
a Laboratoire de Physique de la Matière Condensée (URAC10), Faculté des Sciences Ben M'Sik, Université Hassan II-Mohammedia Casablanca, Morocco
b LPMC, Faculté des Sciences d' El Jadida, Université Chouaib Doukkali, Morocco
c Hassan II Academy of Sciences and Technology, Morocco

  We study the effect of electronic interaction on the ground state properties of graphene, described by a 2d extended Hubbard model on hexagonal lattice. We have considered a half filling system with both on-site and off-site interactions and applied an analytical quasi-exact diagonalization method to analyze some fundamental properties of graphene. We have shown that the ground state energy presents an increasing behaviour depending on on-site and off-site interactions as in the case of a simple square lattice, whereas the excited energy has a different behaviour. This will change some physical properties of system in particular the energy gap.
  Hubbard Model; Ground State Energy; Graphene  

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