Universal Scaling Analysis on Vortex-Glass State of High-Temperature Superconductor ${\rm HgBa}_{2}{\rm Ca}_{2}{\rm Cu}_{3}{\rm O}_{8+\delta }$

The collective creep theory indicates that a vortex-glass behavior in a system of superconductors shows the similar I-V curves, which suggests that if there is a second-order phase transition to this vortex-glass, which is similar to spin glasses in magnetism, both the characteristic correlation length ξ_g and the relaxation time τ_g of the fluctuations of the glassy order parameter diverge at the glass-transition temperature T_g. In this study we deduced based on Π theorem a scaling function about the temperature dependence of resistance in region around T_g. A simple method to describe the ρ-T relationship is therefore obtained. This scaling function applies successfully to the HgBa₂Ca₂Cu₃O_8+δ (Hg-1223) and the iron-based NdFeAsO_0.7F_0.3 superconductors.