Abstract
We review the transmission properties of carriers interacting with
potential barriers in graphene. The tunneling of electrons and holes in
quantum structures in graphene is found to display features that are in
marked contrast with those of other systems. In particular, the
interaction between the carriers with electrostatic potential barriers
can be related to the propagation of electromagnetic waves in media with
negative refraction indices, also known as metamaterials. This behavior
becomes evident as one calculates the time evolution of wavepackets
propagating across the barrier interface. In addition, we discuss the
effect of trigonal warping on the tunneling through potential barriers.
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