Scaling behavior of flux-pinning force in doped Y-Ba-Cu-O thin films

The flux-pinning force density F_p= |J_c×H| in thin films of Y-Ba-Cu-O has been studied as a function of magnetic field, temperature, and chemical doping. Two peaks in F_p were found with field perpendicular to the film. The field dependence of F_p around each peak is shown to follow a scaling law in terms of properly normalized variables which account for all the variations with temperature and chemical doping in the cases investigated. This scaling behavior thus greatly simplifies the usual complex description of flux pinning in high temperature superconductors.