Abstract
We study the response of two-dimensional Josephson-junction arrays and granular films of superconducting material near the superconductor-insulator transition. Close to the transition the system is described by a Ginzburg-Landau-Wilson free energy functional for the global superconducting order-parameter. We consider different situations: First we study the effect of local ohmic shunts. They yield nonohmic dynamics for the order parameter. The conductivity at the transition is nonuniversal within this model. Then we discuss a boson-fermion model which yields ohmic dynamics for the order parameter. A possible realization for this scenario is the Andreev scattering process at the surface of the superconducting grains. This model leads to a universal conductivity at the transition. Finally, in the absence of damping we evaluate the universal conductivity in an ϵ-expression. The result is in good agreement with existing Monte Carlo data.
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