Existence of the Abrikosov vortex state in two-dimensional type-II superconductors without pinning
A. V. Nikulov
DOI 10.1103/PhysRevB.52.10429 · Physical Review B
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Abstract
A nonperturbative fluctuation theory of the mixed state of two-dimensional type-II superconductors with finite size in the lowest Landau level approximation is proposed. The thermodynamic averages of the spatial average order parameter and of the Abrikosov parameter βa are calculated. It is shown that the thermodynamic fluctuations eliminate the Abrikosov vortex state in a wide region of the mixed state of two-dimensional type-II superconductors with real size.
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