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

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

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 08, 1087-1093

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.

Keywords: Superconductivity; electron–phonon coupling; functional derivative (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S012918310200384X

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