Superconducting state parameters of indium-based binary alloys

Abstract

Our well-recognized pseudopotential is used to investigate the superconducting state parameters viz; electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T c , isotope effective exponent α and interaction strength N 0 V for the In 1−x Zn x and In 1−x Sn x binary alloys. We have incorporated six different types of local field correction functions, proposed by Hartree, Taylor, Vashistha-Singwi, Ichimaru-Utsumi, Farid et al and Sarkar et al to show the effect of exchange and correlation on the aforesaid properties. Very strong influence of the various exchange and correlation functions is concluded from the present study. The comparison with other such theoretical values is encouraging, which confirms the applicability of our model potential in explaining the superconducting state parameters of binary mixture.

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],…”

“…The effective averaged square phonon frequency ω 2 is calculated using the relation given by Butler [36], ω 2 1/2 = 0 69θ D , where θ D is the Debye temperature of the metallic glasses. Using X = /2 F and Ω O = 3π 2 Z /( F ) 3 , we get Eq. (1) in the following form,…”

“…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] …”

“…Experiments also show that the superconducting transition temperature T C is grater for amorphous metals than for crystals, which also depends on the composition of the metallic element in the crystalline as well as amorphous phases . Though the pseudo-potential theory is found very successful in studying the various properties of metallic glasses, there have been very few random attempts to study the superconducting state parameters (SSPs) of binary metallic glasses based on model potential [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. The application of a pseudo-potential to a binary metallic glass involves the assumption of pseudoions with average properties, which are assumed to replace two types of ions in the binary systems.…”

“…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].…”