Negative magnetoresistance in superconducting stripes

For superconducting wires with small diameters quantum phase slippage is an important process which can yield a non-vanishing wire resistance down to very low temperatures. The effect of negative magnetoresistance for thin superconducting wire was considered in a simple model. One can conclude that the negative magnetoresistance in wires (narrow channels) are caused by decreasing number of the PSC due to interaction with entered and pinned inside Abrikosov vortices. With a subsequent increase in the magnetic field, the Abrikosov vortices replacing the phase slip centers making the main contribution to the magnetoresistance, which changes sign and becomes positive. The theory is in a good agreement with experiments.