On amplification of fluctuation processes in superconductors with distinctions near Fermi surface. Paraconductivity

It is shown that the existence of certain topological features of equipotential surfaces of the primer charge-carriers near the Fermi level in a superconductor may affect the character of temperature anomalies of fluctuation corrections. An expression for the fluctuation correction to conductivity in the superconductor model is derived. An anomaly in the state density leads to non-analyticity of the Cooper pair propagator frequency dependence and to a change of fluctuation relaxation time in relation to the classical one in the BCS theory. This circumstance turns out to be responsible for amplification of the fluctuation role and increase of temperature correction singularity degree