Quantum phase sensitivity to macroscopic boundaries: Al cylinders and wires

Magnetoconductance (MC) measurements on 2-{μ}m circumference aluminum cylinders and 0.5-{μ}m width aluminum wires, and their analysis in terms of the localization and interaction theories, are reported. MC oscillations in the cylinders, which persist up to 6 K, are well described by the recent theory of Al'tshuler et al. and imply values of the inelastic diffusion length Lᵢ that are consistent with measurements made on coevaporated two-dimensional films. MC measurements on the wires clearly exhibit onedimensional behavior. Values of Lᵢ inferred from these measurements are also consistent with results from two-dimensional films.