Abstract
We use two truly canonical approaches to describe superconductivity in ultrasmall metallic grains: (a) a variational fixed-N projected BCS-like theory and (b) the exact solution of the model Hamiltonian. Thereby we obtain a description of the entire crossover from the bulk BCS regime (mean level spacing d≪bulk gap {ie341-1}) to the “fluctuation-dominated” few-electron regime {ie341-2}. A wave-function analysis shows in detail how the BCS limit is recovered and how for {ie341-3} pairing correlations become delocalized in energy space.
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D. C. Ralph, C. T. Black, and M. Tinkham, Phys. Rev Lett. 74, 3241 (1995); 76, 688 (1996).
D. C. Ralph, C. T. Black, and M. Tinkham, Phys. Rev. Lett. 78, 4087 (1997).
P. W. Anderson, J. Phys. Chem. Solids 11, 28 (1959).
D. S. Golubev and A. D. Zaikin, Phys. Lett. A 195, 380 (1994); B. Jankó, A. Smith, and V. Ambegaokar, Phys. Rev. b 50, 1152 (1994).
J. von Delft, A. D. Zaikin, D. S. Golubev, and W. Tichy, Phys. Rev. Lett. 77, 3189 (1996).
F. Braun, J. von Delft, D. C. Ralph, and M. Tinkham, Phys. Rev. Lett. 79, 921 (1997).
F. Braun and J. von Delft, to appear in Phys. Rev. B.
K. A. Matveev and A. I. Larkin, Phys. Rev. Lett. 78, 3749 (1997).
P. W. Anderson, Phys. Rev. 112, 1900 (1958).
B. Mühlschlegel, J. Math. Phys. 3, 522 (1962).
F. Braun and J. von Delft, Phys. Rev. Lett. 81, 4712 (1998).
K. Dietrich, H. J. Mang, and J. H. Pradal, Phys. Rev. 135, B22 (1964).
R. W. Richardson and N. Sherman, Nucl. Phys. 52, 221 (1964); R. W. Richardson, Phys. Lett 14, 325 (1965); J. Math. Phys. 6, 1034 (1965); Phys. Rev. 141, 949 (1966); J. Math. Phys. 18, 1802 (1977).
M. Tinkham, Introduction to Superconductivity, 2nd ed. (McGraw-Hill, New York 1996).
A. Mastellone, G. Falci, and R. Fazio, Phys. Rev. Lett. 80, 4542 (1998).
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© 1999 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
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Braun, F., von Delft, J. (1999). Fixed-N superconductivity: The crossover from the bulk to the few-electron limit. In: Kramer, B. (eds) Advances in Solid State Physics 39. Advances in Solid State Physics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107492
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DOI: https://doi.org/10.1007/BFb0107492
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