An analytical approach to study energy band structure in strained graphene

We have proposed a simple analytical approach to study energy band structure in strained graphene. In our study, the strain-induced deformation of primitive unit cell is included in tight binding model. The unit cell deformation is determined in terms of the angle between two primitive unit vectors. The proposed method is applied to evaluate the band gap under the application of biaxial symmetrical and uniaxial strains in graphene lattice structure. We found zero band gap for biaxial strained graphene and this result agrees with that of estimated by first principle method. The band gaps are also estimated in uniaxial strained graphene. The results in the present study are compared with that of determined by first principle method and found to be in good agreement.