Scaling of the vortex–liquid resistivity in high temperature superconductors

Abstract

By considering the competition of thermal activation and effective pinning, a general description of temperature dependent resistivity under magnetic fields has been deduced in high temperature superconductors. The temperature dependent resistivity can be expressed as ρ = ρn(1−x)s, with the energy ratio x = Ueff(T,B)/kBT. This model is a consistent description of vortex glass theory. In the experiments of both single-phase Hg-1223 and Tl-2212 thin film superconductors, the temperature dependent resistivity under various magnetic fields can be scaled onto a straight line by plotting lnρ versus ln((T− Tg)/(Tc− Tg)) with the slope s. This scaling behaviour is striking evidence of the proposed model.