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We have computed the effective interaction between vortices in theGinzburg-Landau model from large-scale Monte-Carlo simulations, taking thermalfluctuations of matter fields and gauge fields fully into account close to thecritical temperature. We find a change, in the form of a crossover, fromattractive to repulsive effective vortex interactions in an intermediate rangeof Ginzburg-Landau parameters $\kappa \in [0.76-1]/\sqrt{2}$ upon increasingthe temperature in the superconducting state. This corresponds to a thermallyinduced crossover from \typeI to \typeII superconductivity around a temperature$T_{\rm{Cr}}(\kappa)$, which we map out in the vicinity of themetal-to-superconductor transition. In order to see this crossover, it isessential to include amplitude fluctuations of the matter field, in addition tophase-fluctuations and gauge-field fluctuations. We present a simple physicalpicture of the crossover, and relate it to observations in \metal{Ta} and\metal{Nb} elemental superconductors which have low-temperature values of$\kappa$ in the relevant range.Comment: 9 pages, 6 figures. Accepted for publication in Physical Review

Vortex interactions and thermally induced crossover from type-I to type-II superconductivity