We analyze here the fluctuation conductivity in the vicinity of the critical point in a 2D Josephson junction array shunted by an Ohmic resistor.We find that at the Gaussian level, the conductivity acquires a logarithmic dependence on T/(T−Tc) when the dissipation is sufficiently small. In the renormalized classical regime, this logarithmic dependence gives rise to a leveling-off of the resistivity at low to intermediate temperatures when fluctuations are included. We show, however, that this trend does not persist to T=0 at which point the resistivity vanishes. The possible relationship of the leveling of the resistivity to the low temperature transport in granlar superconductors is discussed.
@article{arxiv.cond-mat/9907123,
title = {Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation},
author = {Denis Dalidovich and Philip Phillips},
journal= {arXiv preprint arXiv:cond-mat/9907123},
year = {2009}
}