Superconductivity in Graphene and Carbon Nanotubes

1. Front Matter

   Pages i-xix

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2. Introduction

   • Pablo Burset Atienza

   Pages 1-5

3. Background and Theoretical Framework

   • Pablo Burset Atienza

   Pages 7-30

4. Green Functions Techniques for Graphene Layers with Edges

   • Pablo Burset Atienza

   Pages 31-50

5. The Graphene-Superconductor Interface

   • Pablo Burset Atienza

   Pages 51-81

6. Nonlocal Transport in Graphene

   • Pablo Burset Atienza

   Pages 83-99

7. Cooper Pair Beam Splitters in Double Quantum Dots

   • Paulo Burset Atienza

   Pages 101-114

8. Summary and Conclusions

   • Pablo Burset Atienza

   Pages 115-117

9. Back Matter

   Pages 119-157

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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.

• Andreev Reflection
• Cooper Pair Splitters
• Graphene Superlattices
• Graphene-superconductor Junction
• Nonlocal Transport in Graphene
• Nonlocally Entangled Electron Pairs
• Proximity Effect in Graphene
• Structure of Graphene-superconductor Interface
• Superconducting Electrodes
• Transport Properties of Carbon Nanotubes

• Institute for Theoretical Physics and Astrophysics, University of Würzburg, Würzburg, Germany

  Pablo Burset Atienza

Pablo Burset is a postdoctoral researcher at Wuerzburg University (Germany). He received his bachelor's degree from Universidad Complutense Madrid and his Ph.D. from Universidad Autonoma Madrid, both in Physics. His theoretical research focuses on the quantum transport properties of graphene, carbon nanotubes and topological insulators when in electrical contact with superconducting electrodes.

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