Leveraging Transfer Learning to Overcome Data Limitations in Czochralski Crystal Growth

Abstract The Czochralski (Cz) method is a widely used process for growing high‐quality single crystals, critical for applications in semiconductors, optics, and advanced materials. Achieving optimal growth conditions requires precise control of process and furnace design parameters. Still, data scarcity – especially for new materials – limits the application of machine learning (ML) in predictive modeling and optimization. This study proposes a transfer learning approach to overcome this limitation by adapting ML models trained on a higher data volume of one source material (Si) to a lower data volume of another target material (Ge and GaAs). The materials are deliberately selected to assess the robustness of the transfer learning approach in handling varying data similarity, with Cz‐Ge being similar to Cz‐Si, and GaAs grown via the liquid encapsulated Czochralski method (LEC), which differs from Cz‐Si. Various transfer learning strategies are explored, including Warm Start, Merged Training, and Hyperparameters Transfer, and evaluate multiple ML architectures across two different materials. The results demonstrate that transfer learning significantly enhances predictive accuracy with minimal data, providing a practical framework for optimizing Cz growth parameters across diverse materials.

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Publication Details

Journal
Advanced Theory and Simulations
Published
2025-07-20
DOI
https://doi.org/10.1002/adts.202500677
Primary Topic
Domain Adaptation and Few-Shot Learning
Type
article
Field-Weighted Citation Impact
0.00

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article

Leveraging Transfer Learning to Overcome Data Limitations in Czochralski Crystal Growth

Xia Tang, Milena Petković, Janina Zittel, Natasha Dropka
Advanced Theory and Simulations
Domain Adaptation and Few-Shot Learning
article

Leveraging Transfer Learning to Overcome Data Limitations in Czochralski Crystal Growth

Xia Tang, Milena Petković, Janina Zittel, Natasha Dropka
article en

Abstract

Abstract The Czochralski (Cz) method is a widely used process for growing high‐quality single crystals, critical for applications in semiconductors, optics, and advanced materials. Achieving optimal growth conditions requires precise control of process and furnace design parameters. Still, data scarcity – especially for new materials – limits the application of machine learning (ML) in predictive modeling and optimization. This study proposes a transfer learning approach to overcome this limitation by adapting ML models trained on a higher data volume of one source material (Si) to a lower data volume of another target material (Ge and GaAs). The materials are deliberately selected to assess the robustness of the transfer learning approach in handling varying data similarity, with Cz‐Ge being similar to Cz‐Si, and GaAs grown via the liquid encapsulated Czochralski method (LEC), which differs from Cz‐Si. Various transfer learning strategies are explored, including Warm Start, Merged Training, and Hyperparameters Transfer, and evaluate multiple ML architectures across two different materials. The results demonstrate that transfer learning significantly enhances predictive accuracy with minimal data, providing a practical framework for optimizing Cz growth parameters across diverse materials.

Advanced Theory and SimulationsVol. 8(11)
Zuse Institute Berlin (DE), Leibniz Institute for Crystal Growth (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 91%
Domain Adaptation and Few-Shot Learning
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Leveraging Transfer Learning to Overcome Data Limitations in Czochralski Crystal Growth — Xia Tang, Milena Petković, et al. · Advanced Theory and Simulations (2025) | TGRS Research Map | TGRS