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We present a phenomenological model qualitatively explaining negativemagnetoresistance in quasi-one-dimensional superconducting channels in theresistive state. The model is based on the assumption that fluctuations of theorder parameter (phase slips) are responsible for the finite effectiveresistance of a narrow superconducting wire sufficiently close to the criticaltemperature. Each fluctuation is accompanied by an instant formation of aquasi-normal region of the order of the non-equilibrium quasiparticlerelaxation length 'pinned' to the core of the phase slip. The effectivetime-averaged voltage measured in experiment is a sum of two terms. First oneis the conventional contribution linked to the rate of the fluctuations via theJosephson relation. Second term is the Ohmic contribution of this quasi-normalregion. Depending on material properties of the wire, there might be a range ofmagnetic fields where the first term is not much affected, while the secondterm is effectively suppressed contributing to the experimentally observednegative magnetoresistance.

Negative magnetoresistance of ultra-narrow superconducting nanowires in the resistive state