Determination of superconducting parameters of Gd-123 phase added with Co$_{2}$FeO$_{4}$ nano ferrite from Excess conductivity and magneto conductivity analysis

Excess conductivity and magneto conductivity data of the Gd-123 added with Co$_{2}$FeO$_{4}$ nano ferrite were analyzed in terms of Aslamazov--Larkin and Maki--Thompson models for layered superconductors. Co$_{2}$FeO$_{4}$ nano ferrite was prepared by Co-perceptions method with grain size of about 20 nm. The concentrations of Co$_{2}$FeO$_{4}$ nano ferrite were varied from 0.0 to 0.1 {\%} wt. of the total sample's weight. The superconducting parameters such as superconducting transition temperature, coherence lengths along \textit{ab-}plane and along $c$-direction at 0K and phase breaking time at 100 K were determined as a function of Co$_{2}$FeO$_{4}$ nano ferrite concentrations. The superconducting transition temperature decreased from 91.7 K to 79.3 K as Co$_{2}$FeO$_{4}$ nano ferrite concentrations increased from 0.0 to 0.1 {\%} wt. of the total sample's weight, confirming with the decrease of phase breaking time at 100 K from 2.7x10$^{-14}$ sec to 1.93x10$^{-14}$ sec. The superconducting anisotropy parameter was calculated as a function of Co$_{2}$FeO$_{4}$ nano ferrite concentrations and its value varied from 6.7 to 8.3.