Dimensional Crossover of Electron-Electron Scattering in GaAs-AlGaAs Wires

Abstract
We report a size effect on the phase coherence length (Li) in narrow GaAs-AlGaAs wires, deduced from the negative magnetoresistance due to weak localization. The temperature dependence ofLichanges as the channel width becomes narrower than the thermal diffusion length. We interpret the change as a dimensional crossover of the electron-electron scattering. The deducedLican reasonably explain the amplitude of Aharonov-Bohm magnetoconductance oscillations observed in a ring fabricated from the same wafer.