Summary and Conclusions

Abstract

This thesis describes the study of the superconducting proximity effect in graphene and of nonlocal transport in carbon based materials with reduced dimensionality. We presented a theoretical analysis of the proximity effect in a graphene-superconductor junction which allows to take into account the description of the interface at the microscopic level. We predicted the behavior of the local density of states of a graphene layer in contact with a superconducting electrode. Additionally, we were able to demonstrate the appearance of bound states associated to the graphene-superconductor interface for energies below the superconducting gap. We have proposed and, subsequently analyzed the possibility of focusing beams of electrons and holes in separated spatial regions on a graphene-superconductor-graphene junction. Finally, we investigated the crossed Andreev reflections that occur in carbon nanotubes coupled with superconducting electrodes. A list of the publications that resulted from this work is given in Appendix F. We now provide the details of each Chapter.