Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation

Details Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation

1999-07-08

arxiv.org/abs/cond-mat/9907123v2

Phys. Rev. Lett., vol. 84, 737 (2000)

Physics

Condensed Matter

4 pages

Scientific paper

10.1103/PhysRevLett.84.737

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 $T/(T-T_c)$ 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.

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