From graphene to quantum computation: An expedition to the dirac sea

Abstract

Dirac fermions were originally proposed by Dirac as the solutions of his relativistic wave-function equation. From then on they played a crucial role in the relativistic description of quarks and leptons. In the recent years it has been realized that several condensed matter systems contain electrons that, due to the presence of the lattice, behave precisely like Dirac electrons. We explore here the consequences of this fact in materials such as Graphene, Transition Metal Dichalcogenides and in Topological Quantum Computation.