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.
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