Estimation of Anisotropic Coherence Length in High-Tc Superconductors Using a Paraconductivity Approach

Abstract

A comprehensive theoretical framework is developed to evaluate the anisotropic coherence length in high-temperature superconductors based on the fluctuation-induced conductivity approach. The theoretical model is formulated using well-established expressions derived from the anistropic Ginzburg-Landau theory, incorporating both Aslamazov-Larkin and Maki-Thompson contributions. Numerical calculations are carried out for two representative superconducting systems, namely nano-(Co_0.5Zn_0.5Fe₂O₄)_x/(Cu,Tl)-1223 and Cd-doped (Cu,Tl)-1234 phase, which exhibit distinct dimensional characteristics. The reduced paraconductivity is analyzed as a function of reduced temperature, and the extracted parameters are compared with previously reported experimental data. The results demonstrate a good agreement between theoretical predictions and experimental observations, confirming the validity and applicability of the proposed model. Furthermore, the analysis highlights the strong influence of dimensionality and interlayer coupling on the anisotropic coherence length. The proposed approach provides a simple and reliable method for estimating superconducting parameters, which can be useful for both fundamental studies and technological applications of high-Tc superconductors.