Superconducting Critical Parameter Calculation from the Analysis of the Paraconductivity in SmBa2Cu3O7–δ.

Synthesis of the SmBa2Cu3O7–δ superconducting material by the standard solid-state reaction is reported. DC resistivity measurements were performed to analyse the conductivity excess close to the superconducting transition. The fluctuation analysis was performed by the method of logarithmic temperature derivative of the paraconductivity. A bulk Tc = 93.004 K was determined through the extrapolation of the genuinely critical regime, which is explained from the dynamical scaling theory. The correlations of the critical exponents with the dimensionality of the fluctuation system for each Gaussian regime were performed by using the Aslamazov–Larkin theory. From the analysis, the occurrence of Gaussian-like fluctuations associated to dimensional d = 3 and d = 2 pairing regimes and fluctuation developing in fractal topologies with d = 2.6 and d = 1.3 are established. The coherence length, the Ginzburg number, the jump in the specific heat δc at T = Tc, the penetration depth λ(0), the critical magnetic fields Bc1(T) and Bc2(T) and the critical current density Jc(0) were theoretically determined for this superconducting material. Results largely agree with experimental reports for RBa2Cu3O7–δ (R = Rare Earth elements) and YBa2Cu3O7–δ superconductors. [ABSTRACT FROM AUTHOR]