Quenched disorder in Josephson-junction arrays in a transverse magnetic field

A simple model for weak quenched disorder in Josephson-junction arrays is considered and the effects of two kinds of disorder on the resistive behavior of the array is determined. For the case of random plaquette areas, the lower envelope of resistance increases quadratically with the magnetic field and no superconducting phase exists, whereas positional disorder leads to a reentrant phase at low temperatures in finite field and a critical value of the field above which there is no superconducting phase. The consequences of these results for experiments reported recently are also presented.