Resistance of small metallic loops

An earlier analysis of small one-dimensional rings of normal metal, driven by an external time-dependent magnetic flux, is extended to allow for inelastic scattering. This supplements the Josephson-type behavior of the earlier discussion by dissipative effects. As in the case of strong one-dimensional localization, dc current grows as inelastic scattering is first introduced, but diminishes again with sufficiently intense inelastic scattering. © 1985 The American Physical Society.