Strong vortex-antivortex fluctuations in the type II superconducting film

The small size vortex-antivortex pairs proliferation in type II superconducting film is considered for the wide interval of temperatures below Tc. The corresponding contribution to free energy is calculated. It is shown that these fluctuations give the main contribution to the heat capacity of the film both at low temperatures and in the vicinity of transition

Two-dimensional Bose gas at low density

We propose a new method to describe the interacting bose gas at zero temperature. We use the decomposition of the logarithm of the wave function into the irreducible $n$-point functions. We argue that in the low density limit this expansion corresponds to the expansion of the ground-state energy in powers of the small parameter. For three-dimensional system the correction to the ground-state energy in density is reproduced. For two-dimensional dilute bose gas the ground- state energy in the leading order in the parameter |\ln\a^2\rho|^{-1} where \a is a scattering length is obtained.Comment: 16 pages, LaTex, report INR P-805/93 199