Inductance in One-Dimensional Nanostructures

The physical origin of kinetic inductance is examined for 1-D nanostructures, where the Fermi liquid theory prevails. In order to have appreciable kinetic inductance, ballistic transport must exist, with no inelastic scattering inside the nanowires. Kinetic inductance is assigned to the nanowire itself and independent of its surroundings, whereas magnetic inductance is assigned to the nanowire and substrate. Kinetic and magnetic inductances are in series in an equivalent circuit representation. If there are m transmission modes and n multiwalls in the nanostructure, kinetic inductance decreases by a factor of 1/(mn). The relation of the predicted results to preliminary experimental findings is discussed.