The temporal evolution of the characteristic wavelength ͑͒ and ordering range ͑͒ of self-organized nanodot patterns induced during Ar + ion beam sputtering on Si͑001͒ and Si͑111͒ surfaces is studied by atomic force microscopy and grazing incidence x-ray diffraction. The patterns exhibit initial coarsening of ͑up to 54-60 nm͒ and increase in ͑up to 400-500 nm͒ after which both features stabilize. The pattern formation is only weakly controlled by the crystallographic surface orientation, Si͑111͒ surfaces showing a faster evolution into a proper stationary state. This trend is attributed to a higher sputtering rate at this orientation, as confirme by theoretical simulations. © 2006 American Institute of Physics. ͓DOI: 10.1063/1.2398916͔The current road to miniaturization demands for lowcost and large-scale compatible nanopatterning methods with reproducible and controllable features, achievement of high in-plane ordering being a crucial issue, e.g., for ͑opto͒elec-tronic devices.1 Ion beam sputtering ͑IBS͒ is a promising technique since it induces self-organized regular patterns over large areas ͑several cm 2 ͒ onto metal, semiconductor, and insulator surfaces after a few minutes of irradiation.2 In particular, ripple 3 and nanodot 4 morphologies can be produced onto amorphous materials or crystalline surfaces that amorphize upon ion bombardment. Theoretically, pattern formation by IBS can be understood as the interplay between the ͑unstable͒ dependence of the sputtering yield on surface curvature and stabilizing surface relaxation mechanisms such as surface diffusion.
5Complete understanding and control of the physical mechanisms involved in pattern formation by IBS is still lacking, issues such as crystallinity, in-plane correlation, and order remaining to be understood. Here, we study the time evolution of the quality of nanodot patterns induced by IBS onto the relevant Si͑001͒ and Si͑111͒ surfaces, in terms of in-plane order and correlation. Our results indicate that the pattern dynamics is qualitatively independent of the surface orientation, together with the occurrence of coarsening of the characteristic wavelength and simultaneous improvement of the short-range hexagonal order ͑as described by the correlation length ͒. Both features stabilize for long enough times, the Si͑111͒ surface reaching earlier a proper stationary state as a result of its faster dynamics. We correlate this fact with the increased sputtering rate ͑SR͒ measured onto this orientation, which is confirme through comparison with theoretical models of IBS pattern formation.Si͑001͒ and Si͑111͒ samples ͑p type, 0.3-1 ⍀ cm͒ were sputtered at normal incidence as described in Ref. 6. The SR was determined experimentally in all the processed samples by partially masking them during the sputtering process and measuring the resulting step edge height with a profilomete . It was observed that the SR was ϳ10% higher for Si͑111͒ than for Si͑001͒. The resulting surface topography was imaged by atomic force microscopy ͑AFM͒ with a Nanoscope IIIa equipm...