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Thermodynamic and spectral properties of ultrasmall superconducting grains

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Abstract

We study the problem of superconductivity in the canonicalensemble which applies to recent experiments on metallicnanoparticles. Spectral properties which can be expressed asuniversal functions allow a quantitative characterization ofthe crossover to “superconductivity” in finite metallicsystems. Parity effects in the ground state and excitationspectrum are discussed. We discuss the thermodynamicquantities as well. The susceptibility for odd grains shows areentrant behavior with temperature. This behavior may be anobservable signature of superconducting correlations inultrasmall grains.

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REFERENCES

  1. D.C. Ralph, C.T. Black, and M. Tinkham, Phys. Rev. Lett. 74, 3241 (1995). C.T. Black, D.C. Ralph, and M. Tinkham, Phys. Rev. Lett. 76, 688 (1996). D.C. Ralph, C.T. Black, and M. Tinkham, Phys. Rev. Lett. 78, 4087 (1997).

    Google Scholar 

  2. P.W. Anderson, J. Phys. Chem. Solids 11, 28 (1959).

    Google Scholar 

  3. J.A.A.J. Perenboom, P. Wyder and F. Meyer, Phys. Rep. 81, 174 (1981).

    Google Scholar 

  4. D.V. Averin and Yu. V. Nazarov, Phys. Rev. Lett. 68, 1993 (1992); M.T. Tuominen, J.M. Hergenrother, T.S. Tighe, and M. Tinkham, Phys. Rev. Lett, 69,1997 (1992); D.V. Averin and Yu. V. Nazarov, Physica B 203, 310 (1994).

    Google Scholar 

  5. J. von Delft, D.S. Golubev, W. Tichy, and A.D. Zaikin, Phys. Rev. Lett., 77 3189 (1996).

    Google Scholar 

  6. D.S. Golubev and A.D. Zaikin, Phys. Lett. A 195, 380 (1994); B. Janko, A. Smith, and V. Ambegaokar, Phys. Rev. B 50, 1152 (1994); RA. Smith and V. Ambegaokar, Phys. Rev. Lett. 77, 4962 (1996).

    Google Scholar 

  7. W.P. Halperin, Rev. Mod. Phys. 58, 533 (1986).

    Google Scholar 

  8. K.A. Matveev and A.I. Larkin, Phys. Rev. Lett. 78, 3749 (1997).

    Google Scholar 

  9. A. Mastellone, G. Falci, and R Fazio, Phys. Rev. Lett. 80 , 4542 (1998).

    Google Scholar 

  10. S.D. Berger and B.I. Halperin, Phys. Rev. B 58, 5213 (1998).

    Google Scholar 

  11. M. Tinkham, Introduction to Superconductivity, 2nd Edition, McGraw Hill (1996).

  12. F. Braun, J. von Delft, D. Ralph, and M. Tinkham, Phys. Rev. Lett. 78, 4542 (1997).

    Google Scholar 

  13. F. Braun and J. von Delft, Phys. Rev. Lett. 81, 4712 (1998).

    Google Scholar 

  14. G. Falci, R Fazio, G. Giaquinta and A. Mastellonc, Phil. Mag. (1999) in press.

  15. J. Dukelski and G. Sierra, Phys. Rev. Lett. 83, 172 (1999)

    Google Scholar 

  16. G. Sierra, J. Dukelski, G.G. Dussel, J. von Delft, and F. Braun, cond-mat 9909005.

  17. RW. Richardson and N. Sherman, Nucl. Phys. 52, 221 (1964).

    Google Scholar 

  18. A. Di Lorenzo, R Fazio, F.W.J. Hekking, G. Falci, A. Mastellone, and G. Giaquinta, preprint 1999.

  19. O. Agam and I. Aleiner, Phys. Rev. B 56, R5759 (1997).

    Google Scholar 

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Falci, G., Fazio, R., Hekking, F.W.J. et al. Thermodynamic and spectral properties of ultrasmall superconducting grains. Journal of Low Temperature Physics 118, 355–364 (2000). https://doi.org/10.1023/A:1004689916830

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