2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96455The superfluid density is calculated theoretically for incompressible vortex lattices in two dimensions that have isolated dislocations quenched in by a random arrangement of pinned vortices. The latter are assumed to be sparse and to be fixed to material defects. It is shown that the pinned vortices act to confine a single dislocation of the vortex lattice along its glide plane. Plastic creep of the two-dimensional vortex lattice is thereby impeded, and macroscopic phase coherence results at low temperature in the limit of a dilute concentration of quenched-in dislocations.18 pages, 1 figure, 1 table, new title, submitted to Physical Review BSuperconductivityStatistical Mechanicstext