Theory of phase-slip-center effects on superconducting kinetic inductance

Fluctuations significantly alter the conventional picture on transport phenomena in 1D superconductors. We study the current-dependence of the kinetic inductance in superconducting wires using the Ginzuburg-Landau approach with fluctuations. We obtain a non-monotonic current-dependence of the kinetic inductance when the thermal fluctuations predominate the behaviors of the superconducting phase. This result is ascribed to the occurrence of phase-slip centers from thermally-activated processes. We also find that our approach qualitatively reproduces the experiment by Annunziata et al. [Nanotechnology 21, 445202 (2010)]. Moreover, we discuss the effects of thermal fluctuations on the characteristics of superconducting detectors. We will also discuss the effects of quantum phase slips on superconducting detectors.