The unique electronic band structure of graphene gives rise to
remarkable properties when in contact with a superconducting
electrode. In this thesis two main aspects of these junctions are
analyzed: the induced superconducting proximity effect and the
non-local transport properties in multi-terminal devices. For this
purpose specific models are developed and studied using Green
function techniques, which allow us to take into account the
detailed microscopic structure of the graphene-superconductor
interface. It is shown that these junctions are characterized by
the appearance of bound states at subgap energies which are
localized at the interface region. Furthermore it is shown that
graphene-supercondutor-graphene junctions can be used to favor the
splitting of Cooper pairs for the generation of non-locally
entangled electron pairs. Finally, using similar techniques the
thesis analyzes the transport properties of carbon nanotube devices
coupled with superconducting electrodes and in graphene
superlattices.
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