Abstract

Two-dimensional low-$\ensuremath{\kappa}$ type-II superconductors are studied numerically within the Eilenberger equations of superconductivity. Depending on the Ginzburg-Landau parameter $\ensuremath{\kappa}=\ensuremath{\lambda}/\ensuremath{\xi}$ the vortex-vortex interaction can be attractive or purely repulsive. The sign of the interaction is manifested as a first (second) order phase transition from a Meissner state to a mixed state. The temperature and field dependence of the magnetic field distribution in low-$\ensuremath{\kappa}$ type-II superconductors with an attractive intervortex interaction is calculated. Theoretical results are compared to the experiment.

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