Using Advanced Statistical Analysis to improve FinFET transistor performance

By: Jimmy Gu, SP&I Staff Engineer

Trial and error wafer fabrication is commonly used to study the effect of process changes in the development of FinFET and other advanced semiconductor technologies.  Due to the interaction of upstream unit process parameters (such as deposition conformality, etch anisotropy, selectivity) during actual fabrication, variations based upon process changes can be highly complex. Process simulators that mimic fab unit processes can now be used to model these complex interactions.  They can also help process engineers identify important process and/or design parameters that drive certain critical targets such as CDs, yield limiting spacing, 3D design rule violations, resistance/capacitance, and other process and design issues.   The number of possible parameters that affect device performance and yield can be quite large, so statistical analysis can provide useful insight and help identify critical performance parameters.  Coventor’s SEMulator3D virtual fabrication (or process simulation) platform contains an analytics module for conducting virtual design-of-experiments and statistical analysis. I would like to use an example of a 14nm FinFET process flow in SEMulator3D to identify important process parameters that drive fin top CD, which is a key metric for transistor performance.

Figure 1 – FinFET Process Step Illustration

In this example, fin patterning flow based on 14nm FinFET technology is being used.  The actual process steps are shown in our animated illustration (see Figure 1).  Key steps include self-aligned double patterning (SADP) fin definition, fin cut, and STI polish and recess. The final fin top CD is measured in SEMulator3D using virtual metrology and is the key parameter of interest in this study. The nominal fin top CD is about 9.6nm.  In this study, we will determine which process parameter(s) most significantly impact fin top CD.

How would we find the answer to this question using SEMulator3D?

  1. To start this study, we first select the type of workflow and design method in the DOE (Design of Experiments) option in SEMulator3D. In this case, the workflow is “Identify Important Parameters” and the design method is set as a “Definitive Screening Design (DSD)”, which is suitable for exploring a large number of process parameters.
  2. Second, we will want to specify all of the process parameters that might affect fin top CD. In our study,  I included a total of eleven parameters including the film thickness of all the SAQP hardmask stacks, fin spacer thickness, mandrel etch depth, along with a number of other parameters.  Our selection of a screening design allows us to include many process parameters in the study, so that we can positively identify factors that affect our fin top CD.
  3. Our next step is to execute the DOE, which automatically executes parallel simulation models corresponding to each and every set of process parameters defined by the design method.
  4. After the DOE runs have been completed, we select the target that we are trying to study. Iin this case, we wish to study fin top CD.
  5. Next, we can choose our Regression Options. Here, we have the option to include Main Factors only or can include Cross Terms and adjust a few advanced settings for regression and outlier detection.
  6. Statistical outliers are automatically detected, and we have the flexibility of removing or leaving the outliers that have been identified.
  7. Finally, regression results are shown in the Results Pane of SEMulator3D (Figure 2). The left side of the result shows the P-value and relative weight for all the input factors (parameters) and cross terms, if any. The significant process factors are highlighted. The right side plots the Predicted vs. Actual values of the regression. In our case, three process parameters have been identified as significant factors driving fin top CD. In our study, the most important factor is fin spacer oxide thickness.

Figure 2 – Results Pane of SEMulator3D

We have now completed the screening DOE and identified the most important process parameters that modulate fin top CD. To further explore the process window and variability impact for these most significant parameters, we could repeat the regression using either a Full Factorial or Monte Carlo statistical design method.

The whole process of designing, executing and analyzing this fin top CD screening DOE took less than one hour,  without running a single wafer through the fab! We were able to determine the relevant process parameters, such as fin spacer oxide thickness, that most significantly impact fin top CD.  Using these results, we would now concentrate our efforts on controlling these parameters by setting inline measurement and metrology specifications, or we could focus on process controls that would reduce variation in the critical parameters. The analytics capability of SEMulator3D  provides deep insight into process variability and can be used to improve yield and performance of FinFET and other advanced semiconductor devices.

For further examples of the predictive value of SEMulator3D for FEOL process integration, request a copy of the white paper “FinFET Front-End-of-Line (FEOL) Process Integration“.

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