journal article·2026-03-01Open access

From trial-and-error to intelligent workflows: machine learning and simulations for scalable 2D material synthesis

Luigi Bonati, Pietro Novelli, Antonio Rossi

2D Materials· Volume 13· Issue 1

Abstract

Abstract Wafer-scale growth of two-dimensional (2D) materials remains an unsolved challenge. Current synthesis still depends on trial-and-error, limiting reproducibility and slowing progress toward practical technologies. This perspective argues that machine learning (ML) and atomistic simulations can provide the foundation for intelligent synthesis workflows. Gradient-free optimization methods, including Bayesian optimization and adaptive Monte Carlo, already demonstrated that high-quality growth conditions can be learned efficiently from experimental feedback. At the same time, atomistic simulations deliver physical priors, synthetic data, and mechanistic insights that focus the search and mitigate data scarcity. We propose a synergistic framework where experiments, simulations, and ML form a closed loop: experiments provide validation, simulations constrain exploration, and ML uncovers patterns and proposes new recipes. Embedding this intelligence into growth protocols can turn 2D materials synthesis into a reproducible and scalable methodology, moving beyond intuition-driven experimentation, accelerating their translation into wafer-scale technologies. While current demonstrations remain system-specific, this perspective provides a pathway toward wafer-scale technologies and data-driven discovery.
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Research context

OpenAlex topics: Machine Learning in Materials Science · Electronic and Structural Properties of Oxides · 2D Materials and Applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (73)

Show source-provided references
1. Correlated insulating states in twisted double bilayer graphene10.1103/PhysRevLett.123.197702 ↗
2. Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle10.1126/sciadv.aaw9770 ↗
3. Correlated insulating states at fractional fillings of the WS2/WSe2 moiré lattice10.1038/s41567-021-01171-w ↗
4. Unconventional superconductivity in magic-angle graphene superlattices10.1038/nature26160 ↗
5. Localized intervalley defect excitons as single-photon emitters in WSe210.1103/PhysRevLett.123.146401 ↗
6. Electrically driven strain-induced deterministic single-photon emitters in a van der Waals heterostructure10.1126/sciadv.abj3176 ↗
7. Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices10.1038/s41586-020-2092-4 ↗
8. Moiré phonons in twisted bilayer graphene10.1103/PhysRevB.100.075416 ↗
9. Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene10.1103/PhysRevB.100.155426 ↗
10. Anomalous interlayer exciton diffusion in WS2/WSe2 moiré heterostructure10.1021/acsnano.4c00015 ↗
11. Quantum twisting microscopy of phonons in twisted bilayer graphene10.1038/s41586-025-08881-8 ↗
12. Van der Waals heterostructure polaritons with moiré-induced nonlinearity10.1038/s41586-021-03228-5 ↗
13. Exciton polariton interactions in van der Waals superlattices at room temperature10.1038/s41467-023-36912-3 ↗
14. Strong light-matter coupling in van der Waals materials10.1038/s41377-024-01523-0 ↗
15. Strategies, status, and challenges in wafer scale single crystalline two-dimensional materials synthesis10.1021/acs.chemrev.0c01191 ↗
16. Growth of 2D materials at the wafer scale10.1002/adma.202108258 ↗
17. Recent progress in low-temperature CVD growth of 2D materials10.1093/oxfmat/itad010 ↗
18. Perspectives for the growth of epitaxial 2D van der Waals layers with an emphasis on ferromagnetic metals for spintronics10.1002/admi.202201469 ↗
19. Tomonaga-Luttinger liquid in a box: electrons confined within MoS2 mirror-twin boundaries10.1103/PhysRevX.9.011055 ↗
20. Imaging gate-tunable Tomonaga–Luttinger liquids in 1H-MoSe2 mirror twin boundaries10.1038/s41563-022-01277-3 ↗
21. Exploring metal‐organic molecular beam epitaxy as an alternative pathway towards 2D transition metal dichalcogenides WSe2 and WS210.1002/sstr.202400306 ↗
22. Wafer-scale single-crystalline MoSe2 and WSe2 monolayers grown by molecular-beam epitaxy at low-temperature—the role of Island-substrate interaction and surface steps10.1002/ntls.20220059 ↗
23. Large-area synthesis of high-quality and uniform monolayer WS2 on reusable Au foils10.1038/ncomms9569 ↗
24. Growth mechanism of alternating defect domains in hexagonal WS2 via inhomogeneous W-precursor accumulation10.1002/smll.202003326 ↗
25. Determination and investigation of defect domains in multi-shape monolayer tungsten disulfide10.1039/D4NA00125G ↗
26. Wafer-scale synthesis of graphene on sapphire: toward fab-compatible graphene10.1002/smll.201904906 ↗
27. Direct growth of wafer-scale highly oriented graphene on sapphire10.1126/sciadv.abk0115 ↗
28. A computational framework for guiding the MOCVD-growth of wafer-scale 2D materials10.1038/s41524-022-00936-y ↗
29. Research on scalable graphene faces a reproducibility gap10.1038/s41467-023-36891-5 ↗
30. 300 mm MOCVD 2D CMOS materials for more (than) Moore scaling10.1109/VLSITechnologyandCir46769.2022.9830457 ↗
31. Epitaxial growth of wafer-scale molybdenum disulfide/graphene heterostructures by metal–organic vapor-phase epitaxy and their application in photodetectors10.1021/acsami.0c12894 ↗
32. Metal–organic chemical vapour deposition for 2D chalcogenides10.1038/s43586-025-00429-4 ↗
33. Evolution of silicon materials characterization: lessons learned for improved manufacturing10.1088/0268-1242/8/6S/002 ↗
34. The Czochralski method—where we are 90 years after Jan Czochralski’s invention10.1002/crat.200711001 ↗
35. Scaling deep learning for materials discovery10.1038/s41586-023-06735-9 ↗
36. A generative model for inorganic materials design10.1038/s41586-025-08628-5 ↗
37. An autonomous laboratory for the accelerated synthesis of novel materials10.1038/s41586-023-06734-w ↗
38. Artificial intelligence driving materials discovery? Perspective on the article: scaling deep learning for materials discovery10.1021/acs.chemmater.4c00643 ↗
39. Challenges in high-throughput inorganic materials prediction and autonomous synthesis10.1103/PRXEnergy.3.011002 ↗
40. Shai Shalev-Shwartz · 2014
41. Derivative-free optimization methods10.1017/S0962492919000060 ↗
42. Revealing variable dependences in hexagonal boron nitride synthesis via machine learning10.1021/acs.nanolett.2c04624 ↗
43. Bayesian optimization for controlled chemical vapor deposition growth of WS210.1021/acsami.4c15275 ↗
44. Training neural networks using metropolis Monte Carlo and an adaptive variant10.1088/2632-2153/aca6cd ↗
45. Towards AI-driven autonomous growth of 2D materials based on a graphene case study10.1038/s42005-025-02086-1 ↗
46. Taking the human out of the loop: a review of Bayesian optimization10.1109/JPROC.2015.2494218 ↗
48. Convergence rates of efficient global optimization algorithms10.5555/1953048.2078198 ↗
49. Information-theoretic regret bounds for Gaussian process optimization in the bandit setting10.1109/TIT.2011.2182033 ↗
50. Gaussian process optimization in the bandit setting: no regret and experimental design10.1109/TIT.2011.2182033 ↗
51. Towards wafer-size graphene layers by atmospheric pressure graphitization of silicon carbide10.1038/nmat2382 ↗
52. Thermal decomposition and chemical vapor deposition: a comparative study of multi-layer growth of graphene on SiC(000–1)10.1557/adv.2016.369 ↗
53. Raman spectroscopy as a versatile tool for studying the properties of graphene10.1038/nnano.2013.46 ↗
54. Frenkel · 2023
55. Unified approach for molecular dynamics and density-functional theory10.1103/PhysRevLett.55.2471 ↗
56. Machine learning interatomic potentials as emerging tools for materials science10.1002/adma.201902765 ↗
57. Performance and cost assessment of machine learning interatomic potentials10.1021/acs.jpca.9b08723 ↗
58. Atomistic modeling of the mechanical properties: the rise of machine learning interatomic potentials10.1039/D3MH00125C ↗
59. Generalized neural-network representation of high-dimensional potential-energy surfaces10.1103/PhysRevLett.98.146401 ↗
60. The role of dynamics in heterogeneous catalysis: surface diffusivity and N2 decomposition on Fe(111)10.1073/pnas.2313023120 ↗
61. Graphene at liquid copper catalysts: atomic-scale agreement of experimental and first-principles adsorption height10.1002/advs.202204684 ↗
62. Unveiling carbon cluster coating in graphene CVD on MgO: combining machine learning force field and DFT modeling10.1021/acsami.4c11398 ↗
63. Escaping free-energy minima10.1073/pnas.202427399 ↗
64. Unified approach to enhanced sampling10.1103/PhysRevX.10.041034 ↗
65. Using metadynamics to build neural network potentials for reactive events: the case of urea decomposition in water10.1016/j.cattod.2021.03.018 ↗
66. Gaussian approximation potentials: the accuracy of quantum mechanics, without the electrons10.1103/PhysRevLett.104.136403 ↗
67. On-the-fly active learning of interpretable Bayesian force fields for atomistic rare events10.1038/s41524-020-0283-z ↗
68. Fast and Fourier features for transfer learning of interatomic potentials10.1038/s41524-025-01779-z ↗
69. Data efficient machine learning potentials for modeling catalytic reactivity via active learning and enhanced sampling10.1038/s41524-024-01481-6 ↗
70. Active machine learning model for the dynamic simulation and growth mechanisms of carbon on metal surface10.1038/s41467-023-44525-z ↗
71. Following the dynamics of industrial catalysts under operando conditions10.1073/pnas.2319800121 ↗
72. Weighted active space protocol for multireference machine-learned potentials10.1073/pnas.2513693122 ↗
73. Transfer learning for atomistic simulations using GNNs and kernel mean embeddings