We present low temperature measurements of the resistance in magnetic field
of superconducting ultrathin amorphous Bi films with normal state sheet
resistances, RN, near the resistance quantum, RQ=e2ℏ. For
RN<RQ, the tails of the resistive transitions show the thermally activated
flux flow signature characteristic of defect motion in a vortex solid with a
finite correlation length. When RN exceeds RQ, the tails become
non-activated. We conclude that in films where RN>RQ there is no vortex
solid and, hence, no zero resistance state in magnetic field. We describe how
disorder induced quantum and/or mesoscopic fluctuations can eliminate the
vortex solid and also discuss implications for the magnetic-field-tuned
superconductor-insulator transition.Comment: REVTEX, 4 pages, 3 figure