In this paper we analyze the resistive transition as a function of both the temperature and the dc applied magnetic field. We use the two models: first, based on the Ambegaokar and Halperin theory that describes the resistive transitions by the modified Bessel function and second, based on the Anderson and Kim theory represented by the exponential formula. The fits of the models to experimental results show that the freezing into superconducting vortex-glass phase takes place at the same temperature that does not practically depend on the applied magnetic field.
IntroductionThe resistive transition from a normal to the superconducting state of high temperature superconductors (HTS) is always significantly broadened as compared to the low temperature superconductors, especially, when the applied magnetic field and/or the flowing current is present. The field-broadened resistive transition may be described by the following equation [1,2]:where the width of the resistive transition was usually defined by the formula: ∆T = T 90% − T 10% . The value of m should be 2/3, but was found to depend on some properties of a superconductor. ∆T 0 is the width of the resistive transition at zero applied magnetic field and the coefficient C depends on the critical current at zero magnetic field and on the critical temperature.The measurements of the width and the shape of the resistance transition of the HTS give insight into the flux pinning properties. From these measurements one can extract such parameters of the vortex dynamics as activation energy and frequency of flux creep [3]. Koch et al. showed [4] that in epitaxial films there is a second-order phase transition between a normal and a superconducting state at a well defined temperature T g called the freezing temperature into the superconducting vortex-glass state.In this paper we fitted the resistive transition as a function of both the temperature and the applied magnetic field of a (Tl 0.6 Pb 0.24 Bi 0.16 )(Ba 0.1 Sr 0.9 ) 2 Ca 2 Cu 3 O y superconducting film on single-crystalline lanthanum aluminate substrate, using the two models: first, based on the Ambegaokar and Halperin theory [3,5] that describes the resistive transitions by the modified Bessel function