On the theory of superconductivity of quasi-2D Fermi systems

The crossover from cooperative Cooper pairing to formation and condensation of independent bound states (composite bosons) in quasi-2D systems is studied using the Coleman-Weinberg method of effective action. It is shown that at a low carrier density the critical superconducting temperature is equal to that of Bose-condensation of ideal quasi-2D Bose-gas with a heavy dynamical mass, meanwhile at high densities the BCS result remains valid