The presence of nonmagnetic impurities in a 2D "bad" metal depresses the su
perconducting Berezinskii-Kosterlitz-Thouless transition temperature while
leaving the pairing energy scale unchanged. Thus the region of the pseudoga
p nonsuperconducting phase, in which the modulus of the order parameter is
nonzero but its phase is random and which arises at the pairing temperature
, is substantially bigger than for the clean system. This supports the prem
ise that fluctuations in the phase of the order parameter can in principle
describe the pseudogap phenomena in high-T-c materials over a rather wide r
ange of temperatures and carrier densities. The temperature dependence of t
he bare superfluid density is also discussed. (C) 2000 American Institute o
f Physics. [S1063-777X(00)00606-X].