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Leveraging Transfer Learning to Overcome Data Limitations in Czochralski Crystal Growth

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arxiv 2506.18774 v1 pith:ATEXSLAI submitted 2025-06-23 cond-mat.mtrl-sci math.OC

classification cond-mat.mtrl-scimath.OC
keywords datalearningtransfermaterialsczochralskigrowthacrossapproach
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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 were 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. We explore various transfer learning strategies, including Warm Start, Merged Training, and Hyperparameters Transfer, and evaluate multiple ML architectures across two different materials. Our 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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47 extracted references · 23 canonical work pages

  1. [1]

    Rudolph, T

    P. Rudolph, T. Nishinga, Handbook of Crystal Growth: Bulk Crystal Growth, Vol. 2, Elsevier, Amsterdam, The Netherlands, 2014

  2. [2]

    M \"u ller, Review: The C zochralski method—where we are 90 years after J an C zochralski's invention, Cryst

    G. M \"u ller, Review: The C zochralski method—where we are 90 years after J an C zochralski's invention, Cryst. Res. Technol. 42 (2007) 1150--1161. https://doi.org/10.1002/crat.200711047 doi:10.1002/crat.200711047

  3. [3]

    Noghabi, M

    O. Noghabi, M. M'Hamdi, M. Jomâa, Sensitivity analyses of furnace material properties in the C zochralski crystal, Meas. Sci. Technol. 24 (2013) 015601. https://doi.org/10.1088/0957-0233/24/1/015601 doi:10.1088/0957-0233/24/1/015601

  4. [4]

    J. Ding, L. Liu, Real-time prediction of crystal/melt interface shape during C zochralski crystal growth, Cryst. Eng. Comm. 20 (2018) 6925--6931. https://doi.org/10.1039/C8CE00966A doi:10.1039/C8CE00966A

  5. [5]

    Mosel, A

    F. Mosel, A. Denisov, B. Klipp, N. Sennova, C. Kranert, T. Jung, M. Trempa, C. Reimann, J. Friedrich, Limitations of the growth rate of silicon mono ingots grown by the C zochralski technique, in: Proc. EU PVSEC, 2020, pp. 468--473. https://doi.org/10.4229/EUPVSEC20202020-2DV.2.18 doi:10.4229/EUPVSEC20202020-2DV.2.18

  6. [6]

    Friedrich, W

    J. Friedrich, W. von Ammon, G. Müller, 2 - czochralski growth of silicon crystals, in: P. Rudolph (Ed.), Handbook of Crystal Growth (Second Edition), Elsevier, 2015, pp. 45--104

  7. [7]

    Depuydt, A

    B. Depuydt, A. Theuwis, I. Romandic, Germanium: From the first application of czochralski crystal growth to large diameter dislocation-free wafers, Materials Science in Semiconductor Processing 9 (4) (2006) 437--443, proceedings of Symposium T E-MRS 2006 Spring Meeting on Germanium based semiconductors from materials to devices. https://doi.org/https://do...

  8. [8]

    Sarukura, T

    N. Sarukura, T. Nawata, H. Ishibashi, M. Ishii, T. Fukuda, 4 - czochralski growth of oxides and fluorides, in: P. Rudolph (Ed.), Handbook of Crystal Growth (Second Edition), Elsevier, 2015, pp. 131--168

Show all 47 references
  1. [9]

    Böttcher, P

    K. Böttcher, P. Rudolph, M. Neubert, M. Kurz, A. Pusztai, G. Müller, Global temperature field simulation of the vapour pressure controlled C zochralski (vcz) growth of 3”–4” gallium arsenide crystals, J. Cryst. Growth 198 (1999) 349--354. https://doi.org/10.1016/S0022-0248(98)...

  2. [10]

    X. Qi, W. Ma, Y. Dang, W. Su, L. Liu, Optimization of the melt/crystal interface shape and oxygen concentration during the Czochralski silicon crystal growth process using an artificial neural network and a genetic algorithm, J. Cryst. Growth 548 (2020) 125828. https://doi.org...

  3. [11]

    Kutsukake, Y

    K. Kutsukake, Y. Nagai, T. Horikawa, H. Banba, Real-time prediction of interstitial oxygen concentration in Czochralski silicon using machine learning, Appl. Phys. Express 13 (2020) 125502. https://doi.org/10.35848/1882-0786/aba4d3 doi:10.35848/1882-0786/aba4d3

  4. [12]

    Dropka, K

    N. Dropka, K. Böttcher, M. Holena, Development and optimization of VGF-GaAs crystal growth process using data mining and machine learning techniques, Crystals 11 (2021) 1218. https://doi.org/10.3390/cryst11101218 doi:10.3390/cryst11101218

  5. [13]

    W. Yu, C. Zhu, Y. Tsunooka, W. Huang, Y. Dang, K. Kutsukake, S. Harada, M. Tagawa, T. Ujihara, Geometrical design of a crystal growth system guided by a machine learning algorithm, Cryst. Eng. Comm. 23 (2021) 2695--2702. https://doi.org/10.1039/D1CE00089E doi:10.1039/D1CE00089E

  6. [14]

    Dropka, X

    N. Dropka, X. Tang, G. K. Chappa, M. Holena, Smart design of cz-ge crystal growth furnace and process, Crystals 12 (12) (2022). https://doi.org/10.3390/cryst12121764 doi:10.3390/cryst12121764

  7. [15]

    Vieira, R

    L. Vieira, R. Menzel, M. Holena, N. Dropka, An analysis of elusive relationships in floating zone growth using data mining techniques, Advanced Theory and Simulations (2025) 2400781 https://doi.org/https://doi.org/10.1002/adts.202400781 doi:https://doi.org/10.1002/adts.202400781

  8. [16]

    Y. Dang, K. Kutsukake, X. Liu, Y. Inoue, X. Liu, S. Seki, C. Zhu, S. Harada, M. Tagawa, T. Ujihara, A transfer learning-based method for facilitating the prediction of unsteady crystal growth, Advanced Theory and Simulations 5 (9) (2022) 2200204. https://doi.org/https://doi.or...

  9. [17]

    Frank-Rotsch, N

    C. Frank-Rotsch, N. Dropka, P. Rotsch, Chapter 6: Iii-arsenides, in: R. Fornari (Ed.), Single Crystals of Electronic Materials: Growth and Properties, Woodhead Publishing, Elsevier, 2018, pp. 181--240. https://doi.org/https://doi.org/10.1016/B978-0-08-102096-8.00006-9 doi:http...

  10. [18]

    J. B. Mullin, 3 - liquid encapsulation and related technologies for the czochralski growth of semiconductor compounds, in: P. Rudolph (Ed.), Handbook of Crystal Growth (Second Edition), Elsevier, 2015, pp. 105--130

  11. [19]

    Dropka, K

    N. Dropka, K. Böttcher, G. K. Chappa, M. Holena, Data-driven cz–si scale-up under conditions of partial similarity, Crystal Research and Technology 59 (6) (2024) 2300342. https://doi.org/https://doi.org/10.1002/crat.202300342 doi:https://doi.org/10.1002/crat.202300342

  12. [20]

    Petkovic, N

    M. Petkovic, N. Dropka, Symo: A hybrid approach for multi-objective optimization of crystal growth processes, Advanced Theory and Simulations (2025) 2401361 https://doi.org/https://doi.org/10.1002/adts.202401361 doi:https://doi.org/10.1002/adts.202401361

  13. [21]

    V. V. Voronkov, The mechanism of swirl defects formation in silicon, J. Cryst. Growth 59 (1982) 625--643. https://doi.org/10.1016/0022-0248(82)90370-3 doi:10.1016/0022-0248(82)90370-3

  14. [22]

    V. V. Voronkov, R. Falster, Vacancy and self-interstitial concentration incorporated into growing silicon crystals , Journal of Applied Physics 86 (11) (1999) 5975--5982. https://doi.org/10.1063/1.371642 doi:10.1063/1.371642

  15. [23]

    Kakimoto, B

    K. Kakimoto, B. Gao, Fluid dynamics: Modeling and analysis, in: P. Rudolph (Ed.), Handbook of Crystal Growth, Elsevier, Amsterdam, The Netherlands, 2015, pp. 845--870

  16. [24]

    Rudolph, Transport phenomena of crystal growth—heat and mass transfer, AIP Conference Proceedings 1270 (1) (2010) 107--132

    P. Rudolph, Transport phenomena of crystal growth—heat and mass transfer, AIP Conference Proceedings 1270 (1) (2010) 107--132. https://doi.org/10.1063/1.3476222 doi:10.1063/1.3476222

  17. [25]

    ://str-soft.com/software/cgsim/

    STR Group , https://str-soft.com/software/cgsim/ SGSim (2024). ://str-soft.com/software/cgsim/

  18. [26]

    T. Chen, C. Guestrin, Xgboost: A scalable tree boosting system, in: Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD '16, Association for Computing Machinery, New York, NY, USA, 2016, p. 785–794. https://doi.org/10.1145/29...

  19. [27]

    G. Ke, Q. Meng, T. Finley, T. Wang, W. Chen, W. Ma, Q. Ye, T.-Y. Liu, Lightgbm: A highly efficient gradient boosting decision tree, in: Neural Information Processing Systems, 2017

  20. [28]

    Haykin, Neural networks: a comprehensive foundation, Prentice Hall PTR, 1994

    S. Haykin, Neural networks: a comprehensive foundation, Prentice Hall PTR, 1994

  21. [29]

    Deng, X.-Q

    Y.-H. Deng, X.-Q. Luo, P. Yan, N.-Y. Zhang, Y. Liu, S.-B. Duan, Outcome prediction for acute kidney injury among hospitalized children via extreme gradient boosting algorithm, Scientific Reports (2022). https://doi.org/10.1038/s41598-022-13152-x doi:10.1038/s41598-022-13152-x

  22. [30]

    H. Zeng, Y. Chen, H. Zhang, Z. Wu, J. Zhang, G. Dai, F. Babiloni, W. Kong, A lightgbm-based eeg analysis method for driver mental states classification, Computational Intelligence and Neuroscience (2019). https://doi.org/10.1155/2019/3761203 doi:10.1155/2019/3761203

  23. [31]

    López-Zorrilla, X

    J. López-Zorrilla, X. M. Aretxabaleta, H. Manzano, Exploring the polymorphism of dicalcium silicates using transfer learning enhanced machine learning atomic potentials, Journal of Chemical Theory and Computation (2024). https://doi.org/10.1021/acs.jctc.4c00479 doi:10.1021/acs...

  24. [32]

    Shahriari, A

    B. Shahriari, A. Bouchard-Cote, N. Freitas, Unbounded bayesian optimization via regularization, in: A. Gretton, C. C. Robert (Eds.), Proceedings of the 19th International Conference on Artificial Intelligence and Statistics, Vol. 51 of Proceedings of Machine Learning Research,...

  25. [33]

    Snoek, H

    J. Snoek, H. Larochelle, R. P. Adams, Practical bayesian optimization of machine learning algorithms, in: F. Pereira, C. Burges, L. Bottou, K. Weinberger (Eds.), Advances in Neural Information Processing Systems, Vol. 25, Curran Associates, Inc., 2012

  26. [34]

    Prechelt, Early Stopping - But When?, Springer Berlin Heidelberg, Berlin, Heidelberg, 1998, pp

    L. Prechelt, Early Stopping - But When?, Springer Berlin Heidelberg, Berlin, Heidelberg, 1998, pp. 55--69. https://doi.org/10.1007/3-540-49430-8_3 doi:10.1007/3-540-49430-8_3

  27. [35]

    S. J. Pan, Q. Yang, A survey on transfer learning https://api.semanticscholar.org/CorpusID:740063, IEEE Transactions on Knowledge and Data Engineering 22 (2010) 1345--1359. ://api.semanticscholar.org/CorpusID:740063

  28. [36]

    Weiss, T

    K. Weiss, T. M. Khoshgoftaar, D. Wang, A survey of transfer learning https://doi.org/10.1186/s40537-016-0043-6, Journal of Big Data 3 (9) (2016). https://doi.org/10.1186/s40537-016-0043-6 doi:10.1186/s40537-016-0043-6 . ://doi.org/10.1186/s40537-016-0043-6

  29. [37]

    Kornblith, J

    S. Kornblith, J. Shlens, Q. V. Le, https://doi.ieeecomputersociety.org/10.1109/CVPR.2019.00277 Do Better ImageNet Models Transfer Better? , in: 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), IEEE Computer Society, Los Alamitos, CA, USA, 2019, pp. 2...

  30. [38]

    M. Gao, U. Bağcı, L. Lü, A. Wu, M. Buty, H.-C. Shin, H. R. Roth, G. Z. Papadakis, A. Depeursinge, R. M. Summers, Z. Xu, D. J. Mollura, Holistic classification of ct attenuation patterns for interstitial lung diseases via deep convolutional neural networks, Computer Methods in ...

  31. [39]

    Y. Guo, H. Shi, A. Kumar, K. Grauman, T. Rosing, R. Feris, Spottune: Transfer learning through adaptive fine-tuning (2019). https://doi.org/10.1109/cvpr.2019.00494 doi:10.1109/cvpr.2019.00494

  32. [40]

    Y. Guo, Y. Li, L. Wang, T. Rosing, Adafilter: Adaptive filter fine-tuning for deep transfer learning, Proceedings of the Aaai Conference on Artificial Intelligence (2020). https://doi.org/10.1609/aaai.v34i04.5824 doi:10.1609/aaai.v34i04.5824

  33. [41]

    Z. Hong, Z. Fan, X. Tong, R. Zhou, H. Pan, Y. Zhang, Y. Han, J. Wang, S. Yang, H. Wu, J. Li, Prediction of covid-19 epidemic situation via fine-tuned indrnn, Peerj Computer Science (2021). https://doi.org/10.7717/peerj-cs.770 doi:10.7717/peerj-cs.770

  34. [42]

    X. Dong, A. T. Luu, M. Lin, S. Yan, H. Zhang, How should pre-trained language models be fine-tuned towards adversarial robustness? (2021). https://doi.org/10.48550/arxiv.2112.11668 doi:10.48550/arxiv.2112.11668

  35. [43]

    Tajbakhsh, J

    N. Tajbakhsh, J. Y. Shin, S. R. Gurudu, R. T. Hurst, C. B. Kendall, M. B. Gotway, J. Liang, Convolutional neural networks for medical image analysis: Full training or fine tuning?, Ieee Transactions on Medical Imaging (2016). https://doi.org/10.1109/tmi.2016.2535302 doi:10.110...

  36. [44]

    Goodfellow, Y

    I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, MIT Press, 2016, http://www.deeplearningbook.org

  37. [45]

    Hofmann, B

    T. Hofmann, B. Sch \"o lkopf, A. J. Smola, Kernel methods in machine learning , The Annals of Statistics 36 (3) (2008) 1171 -- 1220. https://doi.org/10.1214/009053607000000677 doi:10.1214/009053607000000677

  38. [46]

    , " * write output.state after.block =

    ENTRY address author booktitle chapter edition editor eid howpublished institution isbn issn journal key month note number organization pages publisher school series title type url volume year label INTEGERS output.state before.all mid.sentence after.sentence after.block FUNCT...

  39. [47]

    write newline

    " write newline "" before.all 'output.state := FUNCTION n.dashify 't := "" t empty not t #1 #1 substring "-" = t #1 #2 substring "--" = not "--" * t #2 global.max substring 't := t #1 #1 substring "-" = "-" * t #2 global.max substring 't := while if t #1 #1 substring * t #2 gl...

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