In this paper, we argue that, in two dimensions, the weak localization of bosons, which occurs on the insulating side of the superconductor-insulator transition, is characterized by $\rho \sim \ln \mathrm{}(1/T),$ as compared to $\sigma \sim \ln T$ for fermions. This unconventional behavior is tied to the diffusion pole of the delocalized (uncondensed) vortices.

• Received 26 November 1997

DOI:https://doi.org/10.1103/PhysRevB.57.14440