LOW-FIELD MAGNETOTRANSPORT STUDY OF LOCALIZATION IN A MESOSCOPIC ANTIDOT ARRAY

Low-field negative magnetoresistance has been studied on G(a)+ ion focused-ion-beam-patterned GaAs/Ga1-xAlxAs heterojunctions as a function of carrier density and temperature. The negative magnetoresistance (NMR) is very large at low densities and decreases with increasing carrier density, giving a magnetoconductance linear in T at low densities but closer to a lnT dependence at higher values. The NMR of this grid structure is well explained using weak localization modified by boundary scattering in an array of one-dimensional point contacts. The NMR disappears after illumination as the patterning is screened by the increased electron density. From this model, we fit the phase-breaking rate as 1/tau(phi) = A + BT, where the constant term is attributed to boundary scattering and the linear temperature dependence arises from electron-electron scattering.