Anisotropic AC conductivity of strained graphene

Abstract

The density of states and the AC conductivity of graphene under uniform strain are calculated using a new Dirac Hamiltonian that takes into account the main three ingredients that change the electronic properties of strained graphene: the real displacement of the Fermi energy, the reciprocal lattice strain and the changes in the overlap of atomic orbitals. Our simple analytical expressions of the density of states and the AC conductivity generalizes previous expressions only available for uniaxial strain. The results suggest a way to measure the Gruneisen parameter that appears in any calculation of strained graphene, as well as the emergence of a sort of Hall effect due to shear strain.