Transport properties near the (formula presented) insulator-superconductor transition

We consider here the fluctuation conductivity near the point of the insulator-superconductor transition in a system of Josephson junction arrays in the presence of particle-hole asymmetry and Ohmic dissipation. The transition is characterized by the dynamical critical exponent (formula presented) opening the possibility of the perturbative renormalization-group treatment. The coupling to the Ohmic heat bath, giving the finite quasiparticle lifetime, leads to the nonmonotonic behavior of the dc conductivity as a function of temperature in the leading logarithmic approximation.