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APPLIED PHYSICS LETTERS 90, 103106 共2007兲

Velocity controlled anodization nanolithography with an atomic force microscope using Faradaic current feedback Matthew S. Johannes Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708 and Center for Biologically Inspired Materials and Material Systems (CBIMMS), Durham, North Carolina 27708

Daniel G. Cole Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 and Center for Biologically Inspired Materials and Material Systems (CBIMMS), Durham, North Carolina 27708

Robert L. Clarka兲 Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708 and Center for Biologically Inspired Materials and Material Systems (CBIMMS), Durham, North Carolina 27708

共Received 9 January 2007; accepted 29 January 2007; published online 7 March 2007兲 A technique, called velocity controlled anodization nanolithography, is presented that ensures line continuity during atomic force microscope based local anodic oxidation on silicon. Spontaneous current spikes disrupt the generation of uniform silicon oxide patterns during lithography at low humidity. Varying the translational speed during lithography in response to the current fluctuations enables the formation of a more complete and continuous oxide layer. The velocity corrections as a result of control are able to maintain constant current flow through the tip-sample interface. The authors demonstrate that this method is effective for in situ quality control. © 2007 American Institute of Physics. 关DOI: 10.1063/1.2711377兴 The atomic force microscope 共AFM兲 has become an indispensable tool for nanoscale manipulation and analysis. A multitude of experimental conditions affect the resulting oxide formation in both contact and noncontact modes of AFM operation, most important of which are voltage bias, humidity, and tip dwell time or write speed.1–8 In order to better understand the process by which the oxide forms, researchers began to monitor the current during lithography and detected current flow on the order of picoamperes.9–11 More recently it was determined that it is Faradaic in nature, which has led to an even better understanding of the physics behind the anodization process.12–14 In numerous instances, local anodic oxidation has been used to construct nanoscale electronic devices and as a mask for further processing.15 Critical to the creation of these devices and masks is the generation of a uniform and consistent oxide layer. Feedback of current through the tip during anodization using voltage modulation has been studied to increase line uniformity, which delivers a constant current to the system and a varying field.16 We outline here an alternative method in which current flow is controlled by velocity modulation. This allows for uniform voltage and current during the process so the power during lithography stays constant. In addition, the controller provides for real-time quality control during lithography that maintains uniform oxide formation. We believe this to be a unique demonstration of AFM based nanolithography that can detect and counteract potential defects in pattern formation before they are created. Experiments were conducted on a custom nanolithographic platform.17 The substrates used in the experiments were cleaved from a 3 in. n-type phosphorous doped Si共110兲 a兲

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wafer with a resistivity of 5 – 10 ⍀ cm 共Montco Silicon Technologies兲. The samples were cleaned in a solution of 70% H2SO4 and 30% H2O2 at 80 ° C for 15 min to remove contamination. Triangular Si3N4 cantilevers that have a nominal force constant of 0.58 N / m were used for the experiments 共Veeco Metrology兲. These tips were coated with 30 nm of evaporated Ti at 2 Å / s. Current amplification is accomplished through the use of an instrument amplifier 共6485 Picoammeter, Keithley Instruments兲. An initial experiment involved the writing of a series of lines at various speeds during which the current was recorded 共Fig. 1兲. It has been demonstrated that AFM based anodic oxidation at lower relative humidity 共15%–45%兲 is able to produce thinner oxide lines.10,18,19 This fact is important to maximize the spatial resolution of AFM based anodic oxidation. When creating oxide lines at a constant velocity and voltage at low humidity levels, there are periods of discontinuity in the resulting oxide patterns, as experienced in our work and reported elsewhere.16,20 Figure 2 shows an example of what is observed; the figure depicts qualitative incompleteness within the series of lines. These features have an average height of 4.2± 1.1 nm and width of 167± 45.0 nm. Most notable is the rms variance in the height and width for the incomplete lines at y = 2 and 4 ␮m, which is 1.4 and 1.7 nm in height and 58.8 and 70.2 nm in width, respectively. In contrast, the more uniform lines at y = 1 and 3 ␮m have variances of 1.0 and 0.5 nm in height and 23.6 and 27.4 nm in width, respectively. Figure 3 is a plot of both the current and height trace recorded during lithography and imaging of the line at y = 4 ␮m in Fig. 2. There is a distinct and coincident point along the length of the line in which the height and current undergo a sudden change. The change in average height of 1.8± 0.8– 4.9± 1.0 nm happens at the pre-

0003-6951/2007/90共10兲/103106/3/$23.00 90, 103106-1 © 2007 American Institute of Physics Downloaded 11 Dec 2009 to 128.151.110.245. Redistribution subject to AIP license or copyright; see http://apl.aip.org/apl/copyright.jsp

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Appl. Phys. Lett. 90, 103106 共2007兲

FIG. 3. 共Color online兲 Line height and recorded current associated with the line at y = 4 ␮m in Fig. 2. The height in the early part of the line averages 1.8± 0.80 nm 共current unrecordable兲 and in the later part, starting at x = 2.3 ␮m, is 4.9± 0.98 nm 共current is 3.3± 1.3 pA兲. FIG. 1. 共Color online兲 Plot of current through the tip as a function of velocity during line fabrication. The experiment was run at 9 V bias, 5 nN, and 20% RH. The current and height are averaged over the length of the oxide lines. The rms deviations for the data are represented by the bounds shown. The legend displays the equations of linear fits to the data as a function of the tip velocity.

cise moment when the current falls down to a measurable level of 3.3± 1.3 pA at an x position of 2.3 ␮m. Before this point the amplifier is saturated due to currents greater than the dynamic range 共⬎2.1 nA兲. Similar current and height characteristics are present in the line at y = 2 ␮m. The oxide height is increased almost threefold when the current drops down to the picoampere range. Conversely, the lines at positions y = 1 and 3 ␮m have uniform current signatures in the low picoampere range 共average of 5.6± 3.1 pA兲 and exhibit more uniform oxide. The linear relationship between current and speed 共Fig. 1兲 demonstrates that velocity modulation can be used to control the current through the tip-sample junction. A feedback controller was designed that compares measured current with a reference value and the error signal is used to command tip position based on the data. A similar set of four oxide lines was created using the velocity controller with a set point of 6.0 pA within 3 min of the original experiment.

A qualitative look at the deposited lines in Fig. 4 shows that they are more uniform than those formed in Fig. 2. These features have an average height of 4.9± 0.6 nm and width of 174± 20.7 nm. The inconsistencies in Fig. 2 represent a significant portion of the total oxide deposited. The average height and width variances over all deposited oxide in the constant velocity case are 1.1 and 45.0 nm, respectively. In contrast, the velocity controlled case has an average variance in height of 0.6 nm and an average variance in width of 20.7 nm over the data. The variances in the constant velocity case amount to 26.1% of the average height and 27.0% of the average width of the deposited features. Using velocity control, the variance is reduced to 12.2% of the average height and 11.9% of the average width. This demonstrates a significant improvement 共more than a factor of 2兲 in both line height and width uniformity. Figure 5 is a plot of current and x-axis position during the formation of the line at y = 3 ␮m of Fig. 4. Each spike in current 共⬃6 nA兲 is associated with a backward movement of the tip, which corresponds to an average negative velocity of −4.0 ␮m / s as calculated from the slope of the data. At the precise moment in which the velocity shifts, there is a decrease in current back to levels that form consistent oxide layers 共⬃1 – 200 pA兲. The duration of the current spikes is

FIG. 2. Contact AFM image of a series of four lines written at 9 V bias, 0.32 ␮m / s, 5 nN, and 20% RH. As can be seen in the image, the first and FIG. 4. Contact AFM image of a series of four lines written with the velocthird lines 共at y = 1 and 3 ␮m, respectively兲 appear qualitatively complete. ity controller implemented at 9 V bias, 6.0 pA set point, 5 nN, and 20% RH. The second and the fourth lines 共at y = 2 and 4 ␮m, respectively兲 have noIn contrast to Fig. 2, uniformity exists across the entire length of all lines. ticeable discontinuity. Lighter shade corresponds to taller height. Lighter shade corresponds to taller height. Downloaded 11 Dec 2009 to 128.151.110.245. Redistribution subject to AIP license or copyright; see http://apl.aip.org/apl/copyright.jsp

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FIG. 5. 共Color online兲 Dual plot showing current 共dotted, left兲 and tip position 共solid, right兲 vs time of the line at y = 3 ␮m in Fig. 4. The average current and velocity over the entire length of the line are 6.0± 1.9 pA and 0.296 ␮m / s, respectively.

⬃30 ms. The negative velocity adjustment maintains uniform line formation by limiting the current spikes associated with poor oxide formation. This line has a height rms deviation of 0.46 nm along its length, 27% of the deviation in the line height at y = 4 ␮m in Fig. 2, which is 1.7 nm. In our work we observe a decrease in oxide formation at high current levels, as demonstrated in Fig. 3. We believe that this is due to the instability of the water meniscus at a lower relative humidity.16,20 We hypothesize that in the constant velocity case 共Fig. 2兲 the meniscus breaks down unpredictably. This breakdown is associated with a corresponding increase in current and a decrease in oxide height and width. The spike in current indicates a drastic decrease in the size of the water meniscus. Low humidity levels force the water adsorbed on the surface to be more confined in isolated regions on the substrate. With the meniscus gone or severely depleted in volume, no oxide can form due to the lack of oxyanions. When this happens, it is hypothesized that the current flowing through the tip switches from Faradaic in nature to electronic 共Ohmic and tunneling兲, resulting in larger current values.13 The lack of oxide growth results in less Ohmic resistance between the tip and the sample; the observed current increase is sustained as a result. An indeterminate point is reached in which the water returns to the tip-sample interface. When water is reencountered 共x = 2.4 ␮m in Fig. 3兲 the meniscus reforms as demonstrated by a return to the low current regime. This indicates the return of Faradaic current flow and the formation of a larger volume of oxide. Looking at the effects of the implemented controller in Fig. 5, when the current begins to rise a change in tip direction and the corresponding change in velocity are able to reestablish Faradaic current flow. This serves to maintain a stable water meniscus and ensure uniform oxide formation

with significantly less variance in the height and width of resulting features. We have developed a feedback control methodology that not only is able to provide for quality control during lithography but also ensures constant power supply to the anodization reaction. Through Faradaic current monitoring during lithography, detrimental current fluctuations are counteracted by changes in the tip velocity. This process ensures that a continuous oxide pattern is formed. We have demonstrated that the average height and width variances as a percentage of the resulting feature dimensions were improved by a factor of 2 between two experimental anodization lithography runs that had identical average speeds, humidity levels, and bias voltages that were executed within 3 min of one another. We believe that these results demonstrate the validity of this method which provides for quality control during AFM based local anodic oxidation. This work was supported by the NSF under NIRT DMI0609265. 1

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