Role of humidity in local anodic oxidation: A study of water condensation and electric field distribution Miroslav Bartošík, David Škoda, Ondřej Tomanec, Radek Kalousek, Pavel Jánský, Jakub Zlámal, Jiří Spousta, Petr Dub, and Tomáš Šikola Faculty of Mechanical Engineering, Institute of Physical Engineering, Brno University of Technology, Technická 2, 616 69 Brno, Czech Republic Received 21 October 2008; published 7 May 2009 This paper deals with the analysis of the influence of humidity on the process of local anodic oxidation carried out by atomic force microscope AFMon GaAs 100surfaces. Recent experiments have shown that the height and half width of oxide nanolines do not increase monotonously with relative humidity, but for lower relative humidities 50%the lines comparable in size to those prepared at 90% were obtained. However, their height and width along the lines revealed significant variations. To better understand these phenomena, the AFM force-distance spectroscopy measurements together with computer simulations of an electric-field distribution and water bridge formation between the tip and the substrate at different relative humidities were carried out. Our experiments on AFM force-distance spectroscopy have not proved an en- hanced water condensation between the tip and the surface at lower humidities. However, the simulations of the electric field in the vicinity of the tip at the early stages of the oxidation process at low relative humidities showed an increase in the average intensity in the oxide layer promoting the diffusion of oxidizing species toward the substrate and, hence, the formation of oxide lines under these conditions. Finally, our simulations on water bridge variations along the tip track showed that at lower humidities there are higher relative standard deviations in the size of the water bridge while the tip is being moved along the surface. This indicates why the oxide lines showed a bigger variability in size. DOI: 10.1103/PhysRevB.79.195406 PACS numbers: 81.16.Pr, 81.16.Nd I. INTRODUCTION Local formation of oxides on solid surfaces in the close vicinity of the tip of an AFM probe has become a favorite inexpensive nanotechnology method used in many laborato- ries worldwide. Despite the relative experimental simplicity of this technique called generally local anodic oxidation LAO, its principles have not been understood in detail yet. The LAO is generally described by the Cabrerra-Mott 1 mechanism of oxidation adapted to the configuration with an electric field between the tip and the sample 2 providing en- hanced diffusion of charged particles in the sample. 3,4 Most of the papers on LAO deals with empirical or semiempirical data related to particular materials. For instance, the influ- ence of operational parameters on local oxidation, such as tip-sample voltage, tip writing speed, and tip load force, has been already studied using contact and noncontact modes of atomic force microscope AFM. 5,6 LAO depends on an ionic current between the tip and the sample surface going through a water bridge between the tip and the surface. The size and shape of this bridge depends on the amount of the water condensed both on the surface and between the tip and the surface. Generally, the amount of this water increases with humidity and, hence, it has been widely accepted that the dimensions of oxide elements produced by LAO should grow with humidity as well. This presumption has been reported by several research teams for various dis- tinct surfaces but just few exact and detailed humidity de- pendences have been published yet; e.g., for n-Si100, 7 p-Si001, 8 and p-GaAs100substrates for relative humidity from 50–80 %. 9 In our previous work, 10 the role of humidity in fabrication of oxide nanostructures at GaAs 100surfaces by LAO was investigated for a wider relative humidity interval 35–90 %. Contrary to the expectations, the height and the half width of oxide nanolines grew monotonously with rela- tive humidity just in the relative humidity interval starting from 60% up. However, for lower relative humidities 50%, the lines were surprisingly comparable in size to those prepared at 90%. Nevertheless, unlikely to the lines at higher humidities their height and width along the lines re- vealed a significant variability indicating unstable conditions for the oxidation process at lower humidity. A similar nonstandard behavior-independence of oxide height for low relative humidities under 50% and linear de- pendence for higher humidities has been observed by another group as well. 11 This paper deals with such a phenomenon, in a more detail, and looks for some possible key factors e.g., water condensation, surface roughness, and electric-field dis- tributionresponsible for this more complex behavior. II. EXPERIMENTAL DETAILS AND PRINCIPLES An atomic force microscope AutoProbe CP-R, Veeco operated in the contact mode was used both in nanolithogra- phy, microscopic, and spectroscopic experiments. The probes for nanolithography were triangular silicon cantilevers Mi- cromaschwith a W 2 C coated tip having the average force constant 0.35 N/m and tip apex radius 35 nm, according to the producer. The real tip apex radii found by scanning elec- tron microscope SEMFEIwere in the range from 50 to 108 nm. The surface imaging and force-distance measure- ments were performed using rectangular phosphorus-doped silicon cantilevers Veecowith the average force constant PHYSICAL REVIEW B 79, 195406 2009 1098-0121/2009/7919/1954066©2009 The American Physical Society 195406-1