Goos–Hänchen-like shifts of anisotropic Dirac fermions in graphene

Abstract

The Goos–Hänchen-like (GHL) shift of Dirac fermions passing through a potential barrier for an anisotropic honeycomb lattice is studied. The analytical solution of the GHL shift and numerical results of the lateral shifts for three values of the merging parameter ( δ ) are presented. Then, the effects of the incidence angle and δ on the lateral shifts of anisotropic Dirac electrons are considered. Moreover, we investigate the influence of the uniaxial strain on a critical angle and see that it changes as a function of energy. We also demonstrate that by changing some parameters, more specifically merging parameter, one can obtain the different shifts for graphene under strong uniaxial strain. • Universal Hamiltonian for description deformation uniaxial strain on graphene used. • GHL shift of the transferred beam using the stationary phase method obtained. • The shift calculated for three value of δ which is an effective factor of our study. • We obtained the shifts with minus and plus sign for values of merging parameter. • By tuning various parameters such as δ and energy different shifts can be obtained.