THE STUDY OF SUPERCONDUCTING STATE PARAMETERS OF in-BASED BINARY ALLOYS BY PSEUDOPOTENTIAL

Abstract

The study of the superconducting state parameters (SSP) viz. electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T C , isotope effect exponent α and effective interaction strength N 0 V of In-based binary alloys In 1−x Nax, In 1−x Mgx, In 1−x Znx, In 1−x Tlx, In 1−x Snx, In 1−x Pbx and In 1−x Bix have been made extensively in the present work using a model potential. To explain electron-ion interaction pseudo-alloy-atom (PAA) model is applied for the first time instead of Vegard's Law. A considerable influence of various exchange and correlation functions on λ and µ * is found from the present study. It is also concluded that T C strongly depends on the value of the effective valence Z * of binary alloys.

Superconducting state parameters of binary metallic glasses

“…To determine the input parameters and various constants for PAA model, the following definitions for binary metallic glasses A 1−C B C are adopted [3,4,[8][9][10][11][12][13][14][15][16][17],…”

“…After evaluating λ and µ * , the transition temperature T C and isotope effect exponent α are investigated from the McMillan's formula [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] …”

“…Recently, Vora et al [4][5][6][7][8][9][10][11][12][13][14][15][16][17] have studied the SSPs of some metals, in based binary alloys, alkali-alkali binary alloys, Cu 100− Zr metallic glasses and a large number of metallic glasses based on the various elements of the periodic table and using a single parametric model potential formalism. The SSPs of Ca 70 Mg 30 metallic glass have been reported by Gupta et al [23] and Sharma et al [24].…”

Study of superconducting state parameters of amorphous metals by a pseudopotential theory

“…The analysis of the model potential parameter C with corresponding values determined for the electron-phonon coupling strength λ and transition temperature T C was shown to be in good agreement with the theoretical or experimental values. In the present investigation concerning the amorphous metals, the electron-phonon coupling strength λ is computed using the relation [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] …”

“…Many of them have used well known model pseudopotential in the calculation of the SSP for the metallic elements. Recently, Vora et al [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] have studied the SSP of some metallic superconductors using single parametric model potential formalism. In the present study, we have used the well known McMillan's theory [20] of superconductivity for predicting the SSP of some monovalent (Cu and Au), divalent (Ca, Sr, Ba, αHg, βHg and Ra) and polyvalent (Lu, Rh, Sc, Y, La, Pr, Nd, Sm, Gd, Tb, Dy, Ho, Er, Tm, Ac, Th, Hf, Ru, Os, Ir, V, Ta, Pa, Cr, Mo, U, Re, Np and Pu) amorphous metals based on the different groups of the periodic table.…”