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BCS Superconductivity of Dirac Electrons in Graphene Monolayer

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Abstract

In this work, we use the standard Bardeen-Cooper-Schrieffer (BCS) model for Dirac superconductors. We consider the thickness of graphene and substrate material layer in calculation of the Coulomb potential and estimate critical temperature Tc. We also analyze the influence of electron density on the electron-phonon interaction and Coulomb pseudopotential in graphene. Furthermore, we estimate the factor of isotopic shifting in graphene monolayer on substrate.

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References

  1. Novoselov, K., Geim, A.K., Morozov, S.V., et al.: Science 306, 666 (2004)

    Article  ADS  Google Scholar 

  2. Novoselov, K., Geim A.K., Morozov S.V., et al.: Nature London 438, 197 (2005)

    Article  ADS  Google Scholar 

  3. Zhang, Y., et al.: Nature (London) 438, 201 (2005)

    Article  ADS  Google Scholar 

  4. Castro Neto, A.H., et al.: Rev. Mod. Phys. 81, 201 (2009)

    Article  Google Scholar 

  5. Kanetami, K., et al.: Proc. Natl. Acad. Sci. USA 109, 196410 (2018)

    Google Scholar 

  6. Kleeman, J., et al.: Phys. Rev. B 87, 195401 (2013)

    Article  ADS  Google Scholar 

  7. Chapman, J., et al.: Sci. Rep. 6, 23254 (2016)

    Article  ADS  Google Scholar 

  8. Ludbrook, B.M., et al.: Proc. Natl. Acad. Sci. USA 112, 11795 (2015)

    Article  ADS  Google Scholar 

  9. Efetov, D.K.: Phys. Rev. Lett. 105, 256805 (2010)

    Article  ADS  Google Scholar 

  10. Haberer, D., et al.: vol. b88 (2013)

  11. Hinks, D.G., et al.: Phys. Rev. B75, 014509 (2007)

    Article  ADS  Google Scholar 

  12. Calandra, M., Mauri, F.: Phys. Rev. Lett. 95, 237002 (2005)

    Article  ADS  Google Scholar 

  13. Uchoa, B., Castro, A.H.: Phys. Rev. Lett. 98, 146801 (2007)

    Article  ADS  Google Scholar 

  14. Kopnin, N.P., Sonin, E.B.: Phys. Rev. Lett. 100, 246808 (2008)

    Article  ADS  Google Scholar 

  15. Nandkishore, R., Levitov, L.S., Chubukov, A.V.: Nat. Phys. 8, 158 (2012)

    Article  Google Scholar 

  16. Einenkel, M., Efetov, K.B.: Phys. Rev. B84, 214508 (2011)

    Article  ADS  Google Scholar 

  17. Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev. 106, 162 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  18. Askerzade, I.: Unconventional superconductors: anisotropy and multiband effects. Springer (177p) (2012)

  19. Bill, A., Morawitz, H., Kresin, V.Z.: Phys. Rev. B68, 144519 (2003)

  20. Nakhmedov, E.N., Saclı, O.A., Askerzade, I.N.: J. Phys. Condens. Matter 5, 1099 (1993)

    Article  ADS  Google Scholar 

  21. Guseinov, R.R.: Phys. Status Solidi B 125, 237 (1984)

    Article  ADS  Google Scholar 

  22. Askerzade, I.N.: J. Korean Phys. Soc. 45, 475 (2004)

    Google Scholar 

  23. Askerzade, I.N.: Phys. Uspekhi 52, 977 (2009)

    Article  ADS  Google Scholar 

  24. Askerzade, I.N., Tanatar, B.: Phys. C 384, 404 (2003)

    Article  ADS  Google Scholar 

  25. Askerzade, I.N.: Mod. Phys. Lett. B 17, 11 (2003)

    Article  ADS  Google Scholar 

  26. Askerzade, I.N., Tanatar, B.: Physica C 459, 56 (2007)

    Article  ADS  Google Scholar 

  27. Askerzade, I.N., Askerbeyli, R.T.: J. Supercond. Nov. Magn. 31(4), 1043 (2018)

    Article  Google Scholar 

  28. Askerzade, I.N.: Physica C 547, 27 (2018)

    Article  ADS  Google Scholar 

  29. Scharf, B., Matos-Abique, A.: Phys. Rev. B86, 115425 (2012)

    Article  ADS  Google Scholar 

  30. Van Men, N., Khanh, N.Q.: condmat arXiv:1711.00334

  31. Hwang, E.H., Das Sarma, S.: Phys. Rev. B75, 205418 (2007)

    Article  ADS  Google Scholar 

  32. Calandra, M., Mauri, F.: Phys. Rev. B76, 205411 (2007)

    Article  ADS  Google Scholar 

  33. Siegel, D.A., et al.: New J. Phys. 14, 095006 (2012)

    Article  ADS  Google Scholar 

  34. Dietel, J., Bezerra, V.H.F., Kleinert, H.: Phys. Rev. B89, 195435 (2014)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Business Administration Demirçerlik campus, Karabuk University, TR05780, Karabuk, Turkey

    R. T. Tagiyeva Askerbeyli

  2. Department of Computer Engineering and Center of Excellence of Superconductivity Research, Ankara University, TR06100, Ankara, Turkey

    I. N. Askerzade

  3. Institute of Physics, Azerbaijan National Academy of Sciences, 33, H. Cavid 33., AZ 1143, Baku, Azerbaijan

    I. N. Askerzade

Authors
  1. R. T. Tagiyeva Askerbeyli
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  2. I. N. Askerzade
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Correspondence to R. T. Tagiyeva Askerbeyli.

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Askerbeyli, R.T.T., Askerzade, I.N. BCS Superconductivity of Dirac Electrons in Graphene Monolayer. J Supercond Nov Magn 32, 1871–1874 (2019). https://doi.org/10.1007/s10948-018-4901-7

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  • DOI: https://doi.org/10.1007/s10948-018-4901-7

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