{"title":"Unlocking the black box beyond Bayesian global optimization for materials design using reinforcement learning","authors":"Yuehui Xian, Xiangdong Ding, Xue Jiang, Yumei Zhou, Jun Sun, Dezhen Xue, Turab Lookman","doi":"10.1038/s41524-025-01639-w","DOIUrl":"https://doi.org/10.1038/s41524-025-01639-w","url":null,"abstract":"<p>Materials design often becomes an expensive black-box optimization problem due to limitations in balancing exploration-exploitation trade-offs in high-dimensional spaces. We propose a reinforcement learning (RL) framework that effectively navigates the complex design spaces through two complementary approaches: a model-based strategy utilizing surrogate models for sample-efficient exploration, and an on-the-fly strategy when direct experimental feedback is available. This approach demonstrates better performance in high-dimensional spaces (D ≥ 6) compared to Bayesian optimization (BO) with the Expected Improvement (EI) acquisition function through more dispersed sampling patterns and better landscape learning capabilities. Furthermore, we observe a synergistic effect when combining BO’s early-stage exploration with RL’s adaptive learning. Evaluations on both standard benchmark functions (Ackley, Rastrigin) and real-world high-entropy alloy data, demonstrate statistically significant improvements (<i>p</i> < 0.01) over traditional BO with EI, particularly in complex, high-dimensional scenarios. This work addresses limitations of existing methods while providing practical tools for guiding experiments.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"19 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144113963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"High entropy powering green energy: hydrogen, batteries, electronics, and catalysis","authors":"Guotao Qiu, Tianhao Li, Xiao Xu, Yuxiang Liu, Maya Niyogi, Katie Cariaga, Corey Oses","doi":"10.1038/s41524-025-01594-6","DOIUrl":"https://doi.org/10.1038/s41524-025-01594-6","url":null,"abstract":"<p>A reformation in energy is underway to replace fossil fuels with renewable sources, driven by the development of new, robust, and multi-functional materials. <u>H</u>igh-<u>e</u>ntropy <u>m</u>aterials (HEMs) have emerged as promising candidates for various green energy applications, having unusual chemistries that give rise to remarkable functionalities. This review examines recent innovations in HEMs, focusing on hydrogen generation/storage, fuel cells, batteries, semiconductors/electronics, and catalysis—where HEMs have demonstrated the ability to outperform state-of-the-art materials. We present new master plots that illustrate the superior performance of HEMs compared to conventional systems for hydrogen generation/storage and heat-to-electricity conversion. We highlight the role of computational methods, such as density functional theory and machine learning, in accelerating the discovery and optimization of HEMs. The review also presents current challenges and proposes future directions for the field. We emphasize the need for continued integration of modeling, data, and experiments to investigate and leverage the underlying mechanisms of the HEMs that are powering progress in sustainable energy.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"16 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144113964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Patrick Johansen Sarsfield, Sergey Slizovskiy, Mikito Koshino, Vladimir Fal’ko
{"title":"Electronic properties of stacking faults in Bernal graphite","authors":"Patrick Johansen Sarsfield, Sergey Slizovskiy, Mikito Koshino, Vladimir Fal’ko","doi":"10.1038/s41524-025-01641-2","DOIUrl":"https://doi.org/10.1038/s41524-025-01641-2","url":null,"abstract":"<p>In spite of the last century of research into the physical properties of graphite, this material regularly displays new, unexpected features enabled by the variations of stacking between van der Waals coupled layers<sup>1,2,3,4,5,6</sup>. Here, we show that a stacking fault in bulk graphite hosts a band of two-dimensional electrons clearly distinguishable from the bulk carriers. Using a self-consistent tight-binding model of graphite, incorporating all Slonczewski-Weiss-McClure parameters, we compute the dispersion and quantum topological characteristics of the two dimensional band, we calculate the Landau level spectrum in magnetic field and the related Shubnikov-de Haas oscillation parameters, as well as the cyclotron mass of the two-dimensional carriers. We also show that most of the features of the fault-bound states are inherited from another celebrated graphitic system, rhombohedral trilayer graphene<sup>7</sup>, which represents the central structural block of the stacking fault.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"18 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144104812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unexpected density functional dependence of the antipolar $$boldsymbol{Pbcn}$$ phase in HfO2","authors":"Di Fan, Tianyuan Zhu, Shi Liu","doi":"10.1038/s41524-025-01647-w","DOIUrl":"https://doi.org/10.1038/s41524-025-01647-w","url":null,"abstract":"<p>The antipolar <i>P</i><i>b</i><i>c</i><i>n</i> phase of HfO<sub>2</sub> has been suggested to play a critical role in the phase transitions and polarization switching mechanisms of ferroelectric hafnia. Here, we benchmark density functional theory (DFT) and deep potential molecular dynamics (DPMD) simulations to investigate the thermodynamic stability and phase transition behavior of hafnia, with a particular focus on the relationship between the <i>P</i><i>b</i><i>c</i><i>n</i> and ferroelectric <i>P</i><i>c</i><i>a</i>2<sub>1</sub> phases. Significant discrepancies in phase energetics emerge across exchange-correlation functionals: the PBE and hybrid HSE06 functionals exhibit consistent trends, which diverge from the predictions of the PBEsol and SCAN functionals. Quasi-harmonic free energy calculations show good agreement with finite-temperature DPMD simulations using deep potentials trained on the same functional. We further find that, under fixed mechanical boundary conditions based on the <i>P</i><i>c</i><i>a</i>2<sub>1</sub> ground-state structure, all functionals predict consistent relative phase stabilities, polarization switching barriers, and domain wall energies.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"74 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144087877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Carl Larsson, Fredrik Larsson, Johanna Xu, Kenneth Runesson, Leif E. Asp
{"title":"Electro-chemo-mechanical modelling of structural battery composite full cells","authors":"Carl Larsson, Fredrik Larsson, Johanna Xu, Kenneth Runesson, Leif E. Asp","doi":"10.1038/s41524-025-01646-x","DOIUrl":"https://doi.org/10.1038/s41524-025-01646-x","url":null,"abstract":"<p>Structural battery composites are multifunctional materials capable of storing electrochemical energy and carry mechanical load at the same time. In this study, we focus on the laminated structural battery design developed by Asp and co-workers, which utilises multifunctional carbon fibres as both active material and mechanical reinforcement in the negative electrode. The positive electrode consists of active lithium iron phosphate particles adhered to an aluminium foil. Building upon previous research, we develop a fully coupled numerical multiphysics model to simulate the charge–discharge processes of the structural battery full cell. The model includes non-linear reaction kinetics, pertinent to the Butler–Volmer relation. Furthermore, we employ a simplified continuum representation of the porous positive electrode, enabling simulations at the battery cell level. Available experimental data for material parameters is utilised when possible, while the remaining parameters are obtained from calibration against experimental charge–discharge voltage profiles at two different rates. Results show that the presented model captures the general trend of the experimental voltage profiles for a range of charge rates. Through this work, we aim to provide insights for future structural battery design efforts.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"4 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144097353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Meng Li, Dan Cao, Dabao Xie, Meiying Gong, Congmin Zhang, Tao You, Jing Zhou, Xiaoshuang Chen, Haibo Shu
{"title":"Computational discovery of metallic MBenes for two-dimensional semiconductor contacts approaching the quantum limit","authors":"Meng Li, Dan Cao, Dabao Xie, Meiying Gong, Congmin Zhang, Tao You, Jing Zhou, Xiaoshuang Chen, Haibo Shu","doi":"10.1038/s41524-025-01640-3","DOIUrl":"https://doi.org/10.1038/s41524-025-01640-3","url":null,"abstract":"<p>The realization of ultralow-resistance contacts in two-dimensional semiconductors such as transition metal dichalcogenides (TMDs) is pivotal for advancing transistor scaling toward the end of technology roadmap. In this work, by means of high-throughput first-principles calculations, we identify that highly stable two-dimensional metallic MBenes with large abundance of density of states are potential for achieving low-resistance MBene-TMD contacts at the quantum limit. We reveal that local built-in electric field at MBene-MoS<sub>2</sub> interfaces driven by interfacial polarization enables tunable band shift of MoS<sub>2</sub> channel, which allows for obtaining p-type Ohmic contact. The strong van der Waals interactions between MBenes and MoS<sub>2</sub> induces a delicate balance between the Fermi-level pinning and carrier tunneling efficiency, resulting in ultralow contact resistance down to 41.6 Ω μm. The contact performance of screened Nb<sub>2</sub>BO<sub>2</sub>-MoS<sub>2</sub> and Nb<sub>2</sub>B(OH)<sub>2</sub>-MoS<sub>2</sub> junctions can be competed with previous records using semimetals Sb and Bi as the contacts of MoS<sub>2</sub> devices.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"1 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144087878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jan Navrátil, Rafał Topolnicki, Michal Otyepka, Piotr Błoński
{"title":"Interpretable machine learning for atomic scale magnetic anisotropy in quantum materials","authors":"Jan Navrátil, Rafał Topolnicki, Michal Otyepka, Piotr Błoński","doi":"10.1038/s41524-025-01637-y","DOIUrl":"https://doi.org/10.1038/s41524-025-01637-y","url":null,"abstract":"<p>The rising demand for digital storage and environmental concerns necessitate ultra-high-density, energy-efficient solutions. Atomic-scale magnets (ASMs) based on transition metal (TM) dimers on defective graphene exhibit promising magnetic anisotropy energy (MAE) values, providing a robust barrier against magnetization reversal. However, identifying optimal TM-substrate configurations is challenging when relying solely on density functional theory (DFT) calculations with spin-orbit coupling. To address this, we developed a machine learning (ML) model trained on scalar-relativistic DFT data using a tree-based gradient boosting approach. Our model implicitly captures key physical interactions from second-order perturbation theory, ensuring reliable MAE predictions for systems beyond the training set. By bridging computational efficiency with interpretability, this work contributes to the development of ASMs for spintronics and quantum materials, offering a pathway to next-generation data storage technologies.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"30 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144083205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Crystal-like thermal transport in amorphous carbon","authors":"Jaeyun Moon, Zhiting Tian","doi":"10.1038/s41524-025-01625-2","DOIUrl":"https://doi.org/10.1038/s41524-025-01625-2","url":null,"abstract":"<p>Thermal transport in amorphous carbon has attracted immense attention due to its extreme thermal properties: It has been reported to have among the highest thermal conductivity for bulk amorphous solids up to ~37 W m<sup>−1 </sup>K<sup>−1</sup>, comparable to crystalline sapphire (<i>α</i>-Al<sub>2</sub>O<sub>3</sub>). However, mechanism behind the high thermal conductivity remains elusive due to many variables at play. In this work, we perform large-scale (~10<sup>5</sup> atoms) molecular dynamics simulations utilizing a machine learning potential based on neural networks with first-principles accuracy. Through spectral decomposition of thermal conductivity which enables a quantum correction to classical heat capacity, we find that propagating vibrational excitations govern thermal transport in amorphous carbon (~100 % of thermal conductivity) in sharp contrast to the convention that diffusive vibrational excitations dominate thermal transport in amorphous solids. This remarkable behavior resembles thermal transport in simple crystals. Our work, therefore, provides a perspective that deepens our understanding of intermediate thermal transport mechanisms between the two ends of spectrum of solids: crystalline and amorphous solids.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"54 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ioannis Kouroudis, Poonam, Neel Misciasci, Felix Mayr, Leon Müller, Zhaosu Gu, Alessio Gagliardi
{"title":"AUGUR, a flexible and efficient optimization algorithm for identification of optimal adsorption sites","authors":"Ioannis Kouroudis, Poonam, Neel Misciasci, Felix Mayr, Leon Müller, Zhaosu Gu, Alessio Gagliardi","doi":"10.1038/s41524-025-01630-5","DOIUrl":"https://doi.org/10.1038/s41524-025-01630-5","url":null,"abstract":"<p>In this paper, we propose a novel flexible optimization pipeline for determining the optimal adsorption sites, named AUGUR (Aware of Uncertainty Graph Unit Regression). Our model combines graph neural networks and Gaussian processes to create a flexible, efficient, symmetry-aware, translation, and rotation-invariant predictor with inbuilt uncertainty quantification. This predictor is then used as a surrogate for a data-efficient Bayesian Optimization scheme to determine the optimal adsorption positions. This pipeline determines the optimal position of large and complicated clusters with far fewer iterations than current state-of-the-art approaches. Further, it does not rely on hand-crafted features and can be seamlessly employed on any molecule without any alterations. Additionally, the pooling properties of graphs allow for the processing of molecules of different sizes by the same model. This allows the energy prediction of computationally demanding systems by a model trained on comparatively smaller and less expensive ones.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"37 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zonglin Yi, Yi Zhou, Hao Liu, Li Li, Yan Zhao, Jiayuan Li, Yixuan Mao, Fangyuan Su, Cheng-Meng Chen
{"title":"Predicting practical reduction potential of electrolyte solvents via computational hydrogen electrode and interpretable machine-learning models","authors":"Zonglin Yi, Yi Zhou, Hao Liu, Li Li, Yan Zhao, Jiayuan Li, Yixuan Mao, Fangyuan Su, Cheng-Meng Chen","doi":"10.1038/s41524-025-01582-w","DOIUrl":"https://doi.org/10.1038/s41524-025-01582-w","url":null,"abstract":"<p>Accurate prediction of practical reduction electrode potentials (<i>E</i><sub>red</sub>) of electrolyte solvents of electrochemical energy storage devices relies on calculating the Gibbs free energy in their reduction reaction. However, the emergence of new electrolyte solvents and additives leaves most of the reaction mechanisms unveiled. Here, we provide a machine-learning-assisted workflow of thermodynamically quantified <i>E</i><sub>red</sub> prediction for electrolyte solvents. A computational hydrogen electrode model based on density functional theory calculation is generalized for calculating the reaction free energy of electrochemical elementary steps. Machine-learning models are trained based on the organic and inorganic electrolyte solvents that possess experimentally identified reduction mechanisms. Validation of the best-scoring model is conducted by experimental validation of 6 additional solvents. Multiple thermodynamics features are found impactful on <i>E</i><sub>red</sub> through different chemical bonding with reaction intermediates. This workflow enables accurate <i>E</i><sub>red</sub> prediction for electrolyte solvents without identified reduction mechanisms, and is widely applicable in the electrochemical energy storage area.</p>","PeriodicalId":19342,"journal":{"name":"npj Computational Materials","volume":"29 1","pages":""},"PeriodicalIF":9.7,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}