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Solving the Eliashberg equations by means ofN-point Padé approximants

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Abstract

We study the use ofN-point Padé approximants to analytically continue the complex frequency Green's function from the Matsubara points to the real frequency axis. The method is applied to solutions of the Eliashberg equations and the approximants are compared with tabulated real frequency results. The overall agreement is good. We further show that the method can serve to make imaginary frequency calculations consistent with real frequency calculations by fixing the pseudopotential μ* to the energy gap Δ o .

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References

  1. G. A. Baker Jr.,Essentials of Padé Approximants (Academic Press, New York, 1975), Chapter 8.

    Google Scholar 

  2. R. W. Haymaker and L. Schlessinger, inThe Padé Approximant in Theoretical Physics, G. A. Baker, Jr. and J. L. Gammel, eds. (Academic Press, New York, 1970), Chapter 11.

    Google Scholar 

  3. R. C. Dorf,Modern Control System (Addison-Wesley, London, 1970), p. 113.

    Google Scholar 

  4. D. J. Scalapino, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Chapter 10.

    Google Scholar 

  5. W. L. McMillan and J. M. Rowell, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Chapter 11.

    Google Scholar 

  6. D. Rainer and G. Bergmann,J. Low. Temp. Phys. 14, 501 (1974).

    Google Scholar 

  7. J. M. Rowell, W. L. McMillan, and R. C. Dynes,J. Phys. Chem. Ref. Data, to be published.

  8. G. Bergmann and D. Rainer,Z. Physik 263, 59 (1973).

    Google Scholar 

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Author notes

  1. J. W. Serene

    Present address: Department of Physics, State University of New York at Stony Brook, Stony Brook, New York

Authors and Affiliations

  1. Department of Technical Physics and Low Temperature Laboratory, Helsinki University of Technology, Espoo, Finland

    H. J. Vidberg & J. W. Serene

Authors
  1. H. J. Vidberg
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  2. J. W. Serene
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Nordic Institute for Theoretical Atomic Physics (NORDITA) Fellow 1975–76 at Research Institute for Theoretical Physics, University of Helsinki, Finland.

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Vidberg, H.J., Serene, J.W. Solving the Eliashberg equations by means ofN-point Padé approximants. J Low Temp Phys 29, 179–192 (1977). https://doi.org/10.1007/BF00655090

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  • DOI: https://doi.org/10.1007/BF00655090

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