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In framework of Ginzburg-Landau model it is shown that narrow superconductingfilm with width w ~ 3-8 \xi(T) (\xi(T) is a temperature dependent coherencelength) exhibits unusual transport properties. In the absence of bulk pinningits critical current Ic nonmonotonically depends on perpendicular magneticfield H and has one minima (dip) and one maxima (peak) at some magnetic fields.At currents I << Ic(H) the finite magnetoresistance R(H) of such a samples dueto thermo-activated vortex hopping via edge barriers also shows both localmaxima(peak) and minima(dip) nearly at the same magnetic fields. In narrowerfilms such an effect is absent due to absence of the vortices and in widerfilms the effect is weaker due to increased vortex-vortex interaction. Finitelength of the film produces additional periodic variation in both Ic(H) andR(H) because of discrete change in the number of the vortices, which issuperimposed on the above mentioned nonmonotonic dependence. The obtainedresults are directly related to many experiments on narrow superconductingfilms/bridges where such a nonmonotonic dependencies Ic(H) and R(H) wereobserved.

Vortex-induced negative magnetoresistance and peak effect in narrow superconducting films