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A NEW METHOD FOR CALCULATING THE FUNCTIONAL DERIVATIVEδTc/δα2F(Ω): APPLICATION TO MgB2

Author

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  • BOŽIDAR MITROVIĆ

    (Department of Physics, Brock University, St. Catharines Ontario L2S 3A1, Canada)

Abstract

We present a new method for calculating the functional derivative of the superconducting transition temperatureTcwith respect to the electron–phonon coupling functionα2F(Ω). The method relies on a highly efficient procedure for finding the largest eigenvalue and the corresponding eigenvector of a Hermitian matrix. The convergence problems that arise in the calculation ofδTc/δα2F(Ω)for systems with lowTcand a large maximum phonon frequency Ωmaxusing the method based on the pair-breaking parameter are eliminated. We apply the new method of calculatingδTc/δα2F(Ω)to MgB2, to the prototype strong coupling superconductor Pb and to weak coupling (BCS) superconductor Al.

Suggested Citation

  • Božidar Mitrović, 2002. "A NEW METHOD FOR CALCULATING THE FUNCTIONAL DERIVATIVEδTc/δα2F(Ω): APPLICATION TO MgB2," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(08), pages 1087-1093.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:08:n:s012918310200384x
    DOI: 10.1142/S012918310200384X
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