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.
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References
W.J. Herrera, P. Burset, A.L. Yeyati, A green function approach to graphenesuperconductor junctions with well-defined edges. J. Phys. Condens. Matter 22, 275304 (2010) (Cited on Sect. 7).
P. Burset, A.L. Yeyati, A. Martín-Rodero, Microscopic theory of the proximity effect in superconductor-graphene nanostructures. Phys. Rev. B 77, 205425 (2008). (Cited on Sect. 7).
P. Burset, W. Herrera, A. Levy Yeyati, Proximity-induced interface bound states in superconductor-graphene junctions. Phys. Rev. B 80, 041402 (2009). (Cited on Sect. 7).
S. Gómez, P. Burset, W.J. Herrera, A.L. Yeyati, Selective focusing of electrons and holes in a graphene-based superconducting lens. Phys. Rev. B 85, 115411 (2012). (Cited on Sect. 7).
P. Burset, W.J. Herrera, A.L. Yeyati, Microscopic theory of cooper pair beam splitters based on carbon nanotubes. Phys. Rev. B 84, 115448 (2011). (Cited on Sect. 7).
L. Hofstetter, S. Csonka, A. Baumgartner, G. Fülöp, S. d’Hollosy, J. Nygård, C. Schönenberger, Finite-bias cooper pair splitting. Phys. Rev. Lett. 107, 136801 (2011). (Cited on Sect. 7).
P. Burset, A.L. Yeyati, L. Brey, H.A. Fertig, Transport in superlattices on single-layer graphene. Phys. Rev. B 83, 195434 (2011). (Cited on Sect. 7).
A. Rozhkov, G. Giavaras, Y.P. Bliokh, V. Freilikher, F. Nori, Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport. Phys. Rep. 503, 77–114 (2011). (Cited on Sect. 7)
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Burset Atienza, P. (2014). Summary and Conclusions. In: Superconductivity in Graphene and Carbon Nanotubes. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01110-3_7
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DOI: https://doi.org/10.1007/978-3-319-01110-3_7
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