Dinâmica de pacotes de onda em monocamada de grafeno com deformações não uniformes

Abstract

Since the production of graphene from a single layer of carbon in 2004, there has been a strong interest to investigate the transport of charge carriers in this system. Electrons in graphene show a linear dispersion for low energies around the points K+ and K_ in the Brillouin zone, which leads them to behave like massless Fermions described by the Dirac Equation. This same energy dispersion is related to the greater electron conductance and thermal conductivity of graphene, which makes graphene a promising material for device applications. In this work, we consider the effect of geometric deformations on the propagation (or dynamics) of wave packets in a monolayer graphene, which, using approximative approach such as Tigth-Binding and the continuous model for the Hamiltonian description of the system, appear as pseudo scalar and vector potentials that depend on the strain tensor in the Hamiltonian of the system. As a result, we apply the time evolution operator using the Split Operator technique to our wave-packet and we analyze its possible trajectories based on the impact parameter we have taken (initial position), its probability density graphs and other details in the situation where the package is close to deformation.