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Journal of Low Temperature Physics

, Volume 193, Issue 1–2, pp 12–20 | Cite as

Graphene Nanoribbon Superconductor

  • Hamze Mousavi
  • Marek Grabowski
Article
  • 273 Downloads

Abstract

The possibility of the s-wave superconductive state in armchair graphene nanoribbons is studied within the attractive Hubbard model, standard BCS theory, and Green’s function approach. Bogoliubov de Gennes equations are derived for this system in the singlet state. A nonzero critical temperature is found which depends on the width of the system. This critical temperature decreases as the width of the system increases and for sufficiently large widths, its value reaches a constant amount which could be taken as the critical temperature of the graphene sheet. The critical temperature also depends on band-filling which, around half band-filling, shows a maximum. However, at half-filling, it drops to a lower value less than its maximum.

Keywords

Graphene nanoribbons Hubbard model Superconductive state Critical temperature 

Notes

Acknowledgements

This work was partially supported by the UCCS BioFrontiers Center.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsRazi UniversityKermanshahIran
  2. 2.Department of PhysicsUniversity of ColoradoColorado SpringsUSA

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