"Graphene and the Klein Paradox" by Ben Schoenek, '14 - Senior Exercise Talk
Abstract: Graphene is still one of the newest and coolest materials. A major characteristic of this material is its ability to transmit particles at relativistic speeds. This process can be modeled by solving the Dirac equation for a step potential, known as the Klein Paradox. I will look at this phenomenon and attempt to relate it to physics we already know, hopefully giving some intuition for why Graphene is such a useful material for physics, and showing the usefulness of the Dirac equation.