Regular Article

Excess conductivity in nano-carbon doped MgB₂ superconductor

¹ Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, Mashhad, Iran
² Department of Physics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
³ Institute for Superconducting and Electronic Materials, Australian Institute for Innovative Materials, Faculty of Engineering, University of Wollongong, North Wollongong, NSW 2519, Australia

^a e-mail: sh.ghorbani@um.ac.ir

Received: 4 February 2019
Received in final form: 26 February 2019
Published online: 8 May 2019

Abstract

In this research, the excess conductivity in 5 wt% nano-carbon doped MgB₂ superconductor was systematically studied as a function of magnetic fieldby measurements of the resistivity. The mean field temperature was calculated using two different methods. Two- and three-dimensional (2D and 3D) models were used to scale the excess conductivity caused by fluctuations. The mean field of the coherence length for the sample was obtained by using the Aslamazo–Lockerian model in the region of critical temperature. A transition from the 2D to the 3D region was observed in different fields at a crossover temperature as the temperature increased. The crossover temperatures were obtained by using the Maki-Thompson–Lawrence-Doniach (MT–LD) model. The results show that the crossover temperature decreases as the field increases. The phase-relaxation time of the fluctuation pairs was obtained by using the crossover temperature. The fluctuation pair lifetime, τ_ϕ, and the coherence length were obtained by using the transition temperature and the reduced temperature crossover values as functions of magnetic field. The phase-relaxation time decreases with increasing field. It was found that the excess conductivity has 2D dimensionality behavior due to the Cooper pairs.