ALEXANDROV, A.S. and KABANOV, V.V., 2008. Low-temperature proximity effect in clean metals with repulsive electron-electron interaction. Physical Review B, 78(13), 132510 pp. 1-4.
Theories of proximity effect in layered superconductor–normal-metal SN structures usually deal with a
hypothetic normal metal with no direct repulsive interaction between electrons and with finite temperatures
often close to the superconductor critical temperature. We present an asymptotic solution of the Gor’kov
equations in the opposite low-temperature limit for a clean normal metal with a repulsive interaction between
electrons. The order parameter in the metal exhibits a power-law decay, x /x, as a function of the distance
from the SN boundary, x, with a proximity length strongly depending on the repulsive interaction.