ONE-DIMENSIONAL AND 2-DIMENSIONAL QUANTUM TRANSPORT IN THIN GOLD WIRES

We report on magnetoresistance (MR) measurements of thin gold wires of various widths, w between 50 nm and 50 mu m prepared by electron-beam Lithography. The MR is measured at temperatures between T = 1.5 and 2 5 K using a He-4-bath cryostat where magnetic fields up to B=5 T can b e applied perpendicular to the film plane. Varying the widths of the g old wires we find the ''strength'' of the MR being proportional to w(- 1) consistent with one-dimensional (1D) behavior and constant for wire s of larger widths indicating 2D behavior. This allows analyzing the M R data of the various gold wires using detailed theoretical calculatio ns concerning 1D and 2D quantum transport. We obtain the phase coheren ce length and its temperature dependence, which is almost independent of whether the gold wires show 1D or 2D quantum transport behavior. Th is additionally confirms the analysis of the MR data and exhibits that the phase coherence length displays intrinsic scattering properties. [S0163-1829(98)06136-0].