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Research Article | Open Access

Decoding plasticity in van der Waals crystals via causality-driven interpretable machine learning

Xinyu Chen1Qian Chen1Liang Ma1,2Qionghua Zhou1,2 ( )Jinlan Wang1,2 ( )
Key Laboratory of Quantum Materials and Devices of Ministry of Education, School of Physics, Southeast University, Nanjing 211189, China
Suzhou Laboratory, Suzhou 215004, China
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Abstract

Plastic deformation in van der Waals (vdW) crystals is essential for flexible and wearable electronics. However, its evaluation typically requires destructive testing or costly first-principles calculations. To address this, we present a causality-driven, interpretable machine learning framework that extracts accurate plasticity descriptors from easily accessible material features, avoiding empirical assumptions and high computational costs. By leveraging causal discovery, we clarify the roles of interlayer and intralayer interactions in plasticity and identify key features that govern plastic behavior. A causality-constrained symbolic regression method then generates a compact, physically meaningful descriptor with 96% accuracy in distinguishing plastic from brittle vdW materials. This descriptor enables rapid screen of large material databases and identifies 29 previously unrecognized semiconductors with superior plasticity. This framework provides a generalizable approach to convert empirical data into actionable materials knowledge, accelerating functional materials design.

Graphical Abstract

This work presents a causality-driven, interpretable machine learning framework to decode the plasticity of van der Waals crystals. It reveals the critical role of inter- and intra-layer interactions to plasticity and delivers a simple descriptor that achieves 96% classification accuracy, enabling efficient screening of materials for flexible electronics.

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Nano Research
Article number: 94908374

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Cite this article:
Chen X, Chen Q, Ma L, et al. Decoding plasticity in van der Waals crystals via causality-driven interpretable machine learning. Nano Research, 2026, 19(6): 94908374. https://doi.org/10.26599/NR.2026.94908374
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Received: 07 November 2025
Revised: 19 December 2025
Accepted: 24 December 2025
Published: 23 April 2026
© The Author(s) 2026. Published by Tsinghua University Press.

This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0, https://creativecommons.org/licenses/by/4.0/).