Av. Nikulov, EXISTENCE OF THE ABRIKOSOV VORTEX STATE IN 2-DIMENSIONAL TYPE-II SUPERCONDUCTORS WITHOUT PINNING, Physical review. B, Condensed matter, 52(14), 1995, pp. 10429-10432
A nonperturbative fluctuation theory of the mixed state of two-dimensi
onal type-II superconductors with finite size in the lowest Landau lev
el approximation is proposed. The thermodynamic averages of the spatia
l average order parameter and of the Abrikosov parameter beta(a) are c
alculated. It is shown that the thermodynamic fluctuations eliminate t
he Abrikosov vortex state in a wide region of the mixed state of two-d
imensional type-II superconductors with real size.