Electrical Transport Study of Fluctuations for the Superconducting Transition in the Electron Doped Cuprate $Pr_{2-x}Ce_{x}CuO_{4}$

It is well known that due to their very short coherence length and high anisotropy, high-Tc superconductors have a region of fluctuations around Tc that is experimentally accessible. Electrical transport in the fluctuation region can be related to dimensionality and the two critical exponents, $\nu$ for the correlation length and $\textit{z}$ for the dynamics of the fluctuations. In this talk we report on the temperature dependence of the paraconductivity and the current-voltage measurement for thin films of the electron doped superconductor $Pr_{2-x}Ce_{x}CuO_{4}$. We use the Fisher, Fisher and Huse[1] dynamical scaling approach and the Lawrence-Doniach model to obtain a coherent picture of the superconducting phase transition in this material. The effect of disorder on our analysis will be addressed. [1] D. S. Fisher, M. P. A. Fisher and D. A. Huse, \textsl{Phys. Rev. B} \textbf{43}, 130 (1991).