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We directly image individual vortex positions in nanocrystals in order tounveil the structural property that contributes to the depletion of theentropy-jump entailed at the first-order transition. On reducing thenanocrystal size the density of topological defects increases near the edgesover a characteristic length. Within this "healing-length" distance from thesample edge vortex rows tend to bend while towards the center of the sample thepositional order of the vortex structure is what is expected for theBragg-glass phase. This suggests that the healing-length may be a key quantityto model the entropy-jump depletion in the first-order transition ofextremely-layered vortex nanocrystals.

Excess of topological defects induced by confinement in vortex nanocrystals