Tunneling of Dirac Fermions in Monolayer Graphene

The main topic of this article is the consideration of relativistic tunneling or Klein's paradox of Dirac fermions in monolayer graphene. Graphene is a two-dimensional zero-gap semiconductor with Dirac fermions or relativistic particles that are massless particles and also relativistic property effects on the etching quality of these particles. Quantum tunneling in graphene and similar materials becomes highly anisotropic, qualitatively different from the case of non-relativistic electrons. In this paper, we intend to investigate the behavior of massless Dirac fermions in a dispersed barrier in monolayer graphene. In this regard, we will consider the case of massless fermions passing through a rectangular barrier and calculate the transmission and reflection coefficients of massless fermions under different conditions. It will also be mentioned that relativistic particles can cross a potential barrier when their energy is lower than the height of the barrier.

کلیدواژه ها:

Dirac fermions ، Potential barrier ، Dirac- like Hamiltonian ، tunneling