Modification of electronic properties of graphene under three patterns of elastic deformation

In the present work, the electronic properties of graphene under the effect of three patterns of deformation are investigated by using tight-binding approximation. The band structure and the density of state (DOS) are calculated in wide range of energies around Fermi level. Moreover, we have studied an innovative method of deformation that so-called a sub-lattice strain. It is evident that most of these patterns of deformation can be used to modify the electronic properties of graphene. By contrast, it is also shown that the electronic properties are not affected under the influence of sub-lattice deformation along z-direction, where the energy spectrum and the DOS are changed imperceptibly.