Electrons moving in graphene behave in an unusual way, as demonstrated by 2010 Nobel Prize laureates for physics A. Geim and K. Novoselov, who performed transport experiments on this one-carbon-atom-thick material.The present review explores the theoretical and experimental results to date of electrons tunnelling through energy barriers in graphene. What could partly explain graphene's properties is that electrons travelling inside the material behave as if they were massless.Their behaviour is described by the so-called Dirac equation, which is normally used for high-energy particles such as neutrinos in vacuum moving at a velocity 300 times greater than that of electrons, nearing the speed of light.
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