The activation energy U(T,B) in high temperature superconductor

Abstract

It is reported in this paper on the thermally assisted flux flow in epitaxial YBa2 Cu3 O7-δ deposited by Laser ablation method on the SrTiO3 substrate. The resistivity measurements ρ  (T , B ) of the sample under various values of the magnetic field up to 14T in directions B ∥ab-plane and B ∥c -axis with a dc weak transport current density were investigated in order to determine the activation energy and then understand the vortex dynamic phenomena and therefore deduce the vortex phase diagram of this material. The apparent activation energy U 0  (B ) calculated using an Arrhenius relation. The measured results of the resistivity were then adjusted to the modified thermally assisted flux flow model in order to account for the temperature-field dependence of the activation energy U  (T , B ). The obtained values from the thermally assisted activation energy, exhibit a behavior similar to the one showed with the Arrhenius model, albeit larger than the apparent activation energy with ∼1.5 order on magnitude for both cases of the magnetic field directions. The vortex glass model was also used to obtain the vortex-glass transition temperature from the linear fitting of [d  ln ρ /dT  ] −1 plots. In the course of this work thanks to the resistivity measurements the upper critical magnetic field H c 2  (T ), the irreversibility line H irr  (T ) and the crossover field H CrossOver  (T ) were located. These three parameters allowed us to establish a phase diagram of the studied material where limits of each vortex phase are sketched in order to optimize its applicability as a practical high temperature superconductor used for diverse purposes.