My. Reizer et Av. Sergeev, SUPERCONDUCTING FLUCTUATION EFFECTS ON THE THERMOELECTRIC COEFFICIENTABOVE THE TRANSITION-TEMPERATURE, Physical review. B, Condensed matter, 50(13), 1994, pp. 9344-9350
The quantum kinetic-equation method is applied to calculate the respon
se of a metal to a temperature gradient above the superconducting tran
sition temperature T(c). It is shown that the fluctuation correction t
o the thermoelectric coefficient of a three-dimensional superconductor
is nonsingular near T(c). The fluctuation correction is more importan
t in low-dimensional systems: it diverges as ln(T-T(c)) in a thin film
and as (T - T(c))1/2 in a filament. Applying the linear-response meth
od, we confirm these results and prove microscopically the Onsager rel
ation for this problem. We also demonstrate how more singular terms ob
tained in earlier papers are canceled out by other terms representing
the corrections to the heat current operator. The universal relation,
independent on the electron mean free path, between the electric and h
eat current operators for the fluctuating order parameter is obtained.