EFFECT OF FRACTONS IN SUPERCONDUCTORS WITH FRACTAL STRUCTURE

We present in this paper the first quanititative calculation of critic al temperature T(c) and gap parameter beta(= 2A/k(B)T(c)) of supercond uctors with fractal structure in the light of electron-fracton couplin g. The Kresin's formula which is valid for any arbitrary value of lamb da is used. The calculations are based on the McMillan function alpha2 F(omega) of electron-fracton interaction recently developed by the aut hors. Variations of T(c) and beta with the fractal dimension D are plo tted. The results exhibit the possibility of obtaining high critical t emperature in superconductors where electrons and fractons are strongl y coupled. Application of the calculations to amorphous superconductor s is discussed.