Unconventional superconductivity in two-dimensional electron systems with long-range correlations

Properties of superfluid states of two-dimensional electron systems with critical antiferromagnetic fluctuations are investigated. These correlations are found to result in the emergence of rapid variation in the momentum space terms in all components of the mass operator, including the gap function Δ(p). It is shown that the domain where these terms reside shrinks with temperature, leading to a significant difference between the temperature Tc, at which superconductivity is terminated, and the temperature T*, where the gap in the single-particle spectrum vanishes.