The Impact Of Eigenvalues On The Electron Phonon Coupling...

IMPACT OF EIGENVALUES ON THE ELECTRON-PHONON COUPLING STRENGTH OF INDIUM AND ITS BINARY ALLOYS S. K. Chakrabarti Department of Physics Tribhuvan University, MMAM Campus, Biratnagar, Nepal ABSTRACT Indium is a trivalent metal. Though chemically not so reactive, it often forms complexes within its binary alloys. In this theoretical work we have studied the impact of eigenvalues on the electron-phonon coupling strength of indium. We have also dealt with the same for two binary alloys of it viz. indium-magnesium and indium-zinc. First of all we have computed the non-local screened form factor for each of them. For this purpose initially the orthogonalised plane wave parameter is considered as unity. Thereafter Vashishta-Singwi form of exchange and correlation are employed. For indium the Clementi eigenvalues being not available, the experimental energy values have been taken besides the Herman-Skillman core energy eigenvalues. Our results are quite satisfactory for the metal. For the alloys our results lie within the range of values as obtained by other researchers. Our computation reveals that the superconducting state parameter can be reasonably reproduced by Harrison’s f irst principle pseudopotential technique along with McMillan’s formalism provided a proper choice of the core energy eigenvalues is made. Key words: Superconducting state parameter, Orthogonalised plane wave parameter, Core energy eigenvalue, Non-local screened form factor, Harrison’s first principle