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Properties of Bound Electron Pairs

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Abstract

The energies of spin singlet and triplet bound electron pairs are reckoned for electrons interacting through the Coulomb interaction, while sitting on neigbouring lattice sites. It is concluded that triplet pairs are unlikely to be observed due to screening. The interplay of inter-electron couplings of different spatial range is investigated. High-pressure induced superconductivity is analysed and qualitative agreement is achieved with observed results by working out the dependence of the critical temperature on the microscopic parameters, characterising the electron motion. This approach can be applied to other kinds of inter-electron interactions.

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References

  1. Parks R.D.: Superconductivity, CRC Press (1969)

  2. Tinkham M.: Introduction to Superconductivity, Dover Books (2004)

  3. Cooper, L.N.: Phys. Rev. 104, 1189 (1956)

    Article  ADS  Google Scholar 

  4. Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev. 108, 1175 (1957)

    Article  MathSciNet  ADS  Google Scholar 

  5. Szeftel, J., Sandeau, N., Abou Ghantous, M.: Eur. Phys. J. B 92, 67 (2019)

  6. Szeftel, J., Sandeau, N., Abou Ghantous, M.: J. Supercond. Nov. Magn. 33, 1307 (2020)

  7. Szeftel, J., Sandeau, N., Abou, Ghantous M., El-Saba, M.: J. Supercond. Nov. Magn. 34, 37 (2021)

    Article  Google Scholar 

  8. Szeftel, J., Sandeau, N., Abou Ghantous, M., El-Saba, M.: Euro. Phys. Lett. 134, 27002 (2021)

  9. Szeftel, J., Sandeau, N., Abou, Ghantous M.: J. Supercond. Nov. Magn. 35, 65 (2022)

    Article  Google Scholar 

  10. Ishida, K., et al.: Nature 396, 658 (1998)

    Article  ADS  Google Scholar 

  11. Duffy, J.A., et al.: Phys. Rev. Lett. 85, 5412 (2000)

    Article  ADS  Google Scholar 

  12. Szeftel, J., Sandeau, N., Khater, A.: Prog. Electromagn. Res. M 69, 69 (2018)

    Article  Google Scholar 

  13. Szeftel, J., Abou, Ghantous M., Sandeau, N.: Prog. Electromagn. Res. L. 81, 1 (2019)

    Article  Google Scholar 

  14. Szeftel, J., Sandeau, N., Abou Ghantous, M., Khater A.: EuroPhys. Lett. 131, 17003 (2020)

  15. Ashcroft, N.W., Mermin, N.D.: Solid State Physics, Saunders College (1976)

  16. Snider, E., et al.: Nature 586, 373 (2020)

    Article  ADS  Google Scholar 

  17. Grinenko, V., et al.: Nat. Phys. 17, 1254 (2021)

    Article  Google Scholar 

  18. Eremets, M.I., et al.: J. Supercond. Nov. Magn. 35, 965 (2022)

    Article  Google Scholar 

  19. Lorenz, B., Chu, C.W.: Frontiers in Superconducting Materials, A. V. Narlikar (Ed.), Springer Berlin Heidelberg (2005) (also available at arXiv : cond-mat/0410367)

  20. Eliashberg, G.M.: Soviet Phys. JEPT 12, 1000 (1961)

  21. Szeftel, J.: J. Supercond. Nov. Magn. 35, 689 (2022)

    Article  Google Scholar 

  22. Armitage, N.P., Fournier, P., Greene, R.L.: Rev. Mod. Phys. 82, 2421 (2010)

    Article  ADS  Google Scholar 

  23. Zaanen J.: 100 years of superconductivity, eds. Rochalla H. and Kes P.H., Chapman and Hall (2011) (also available at arXiv : 1012.5461)

  24. Lederer P.: arXiv : 1510.08808 (2015)

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Acknowledgements

The author is beholden to M. Abou Ghantous and the referee for help and encouragement.

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  1. ENS Paris-Saclay/LuMIn, 4 avenue des Sciences, 91190, Gif-sur-Yvette, France

    Jacob Szeftel

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  1. Jacob Szeftel
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Correspondence to Jacob Szeftel.

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Szeftel, J. Properties of Bound Electron Pairs. J Supercond Nov Magn 35, 3085–3092 (2022). https://doi.org/10.1007/s10948-022-06345-y

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  • DOI: https://doi.org/10.1007/s10948-022-06345-y

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