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Feature engineering descriptors, transforms, and machine learning for grain boundaries and variable-sized atom clusters
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-26 DOI: 10.1038/s41524-024-01509-x
C. Braxton Owens, Nithin Mathew, Tyce W. Olaveson, Jacob P. Tavenner, Edward M. Kober, Garritt J. Tucker, Gus L. W. Hart, Eric R. Homer

Obtaining microscopic structure-property relationships for grain boundaries is challenging due to their complex atomic structures. Recent efforts use machine learning to derive these relationships, but the way the atomic grain boundary structure is represented can have a significant impact on the predictions. Key steps for property prediction common to grain boundaries and other variable-sized atom clustered structures include: (1) describing the atomic structure as a feature matrix, (2) transforming the variable-sized feature matrix to a fixed length common to all structures, and (3) applying a machine learning algorithm to predict properties from the transformed matrices. We examine how these steps and different combinations of engineered features impact the accuracy of grain boundary energy predictions using a database of over 7000 grain boundaries. Additionally, we assess how different engineered features support interpretability, offering insights into the physics of the structure-property relationships.

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引用次数: 0
Machine learning Hubbard parameters with equivariant neural networks
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-25 DOI: 10.1038/s41524-024-01501-5
Martin Uhrin, Austin Zadoks, Luca Binci, Nicola Marzari, Iurii Timrov

Density-functional theory with extended Hubbard functionals (DFT + U + V) provides a robust framework to accurately describe complex materials containing transition-metal or rare-earth elements. It does so by mitigating self-interaction errors inherent to semi-local functionals which are particularly pronounced in systems with partially-filled d and f electronic states. However, achieving accuracy in this approach hinges upon the accurate determination of the on-site U and inter-site V Hubbard parameters. In practice, these are obtained either by semi-empirical tuning, requiring prior knowledge, or, more correctly, by using predictive but expensive first-principles calculations. Here, we present a machine learning model based on equivariant neural networks which uses atomic occupation matrices as descriptors, directly capturing the electronic structure, local chemical environment, and oxidation states of the system at hand. We target here the prediction of Hubbard parameters computed self-consistently with iterative linear-response calculations, as implemented in density-functional perturbation theory (DFPT), and structural relaxations. Remarkably, when trained on data from 12 materials spanning various crystal structures and compositions, our model achieves mean absolute relative errors of 3% and 5% for Hubbard U and V parameters, respectively. By circumventing computationally expensive DFT or DFPT self-consistent protocols, our model significantly expedites the prediction of Hubbard parameters with negligible computational overhead, while approaching the accuracy of DFPT. Moreover, owing to its robust transferability, the model facilitates accelerated materials discovery and design via high-throughput calculations, with relevance for various technological applications.

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引用次数: 0
Building up accurate atomistic models of biofunctionalized magnetite nanoparticles from first-principles calculations
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-25 DOI: 10.1038/s41524-024-01476-3
Paulo Siani, Enrico Bianchetti, Cristiana Di Valentin

Biofunctionalized magnetite nanoparticles offer unique multifunctional capabilities that can drive nanomedical innovations. Designing synthetic bioorganic coatings and controlling their molecular behavior is crucial for achieving superior performance. However, accurately describing the interactions between bio-inorganic nanosystem components requires reliable computational tools, with empirical force fields at their core. In this work, we integrate first-principles calculations with mainstream force fields to construct and simulate atomistic models of pristine and biofunctionalized magnetite nanoparticles with quantum mechanical accuracy. The practical implications of this approach are demonstrated through a case study of PEG (polyethylene glycol)-coated magnetite nanoparticles in physiological conditions, where we investigate how polymer chain length, in both heterogeneous and homogeneous coatings, impacts key functional properties in advanced nanosystem design. Our findings reveal that coating morphology controls polymer ordering, conformation, and polymer corona hydrogen bonding, highlighting the potential of this computational toolbox to advance next-generation magnetite-based nanosystems with enhanced performance in nanomedicine.

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引用次数: 0
Effect of Hubbard U-corrections on the electronic and magnetic properties of 2D materials: a high-throughput study
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-24 DOI: 10.1038/s41524-024-01503-3
Sahar Pakdel, Thomas Olsen, Kristian S. Thygesen

We conduct a systematic investigation of the role of Hubbard U corrections in electronic structure calculations of two-dimensional (2D) materials containing 3d transition metals. Specifically, we use density functional theory (DFT) with the PBE and PBE+U approximations to calculate the crystal structure, band gaps, and magnetic parameters of 638 monolayers. Based on a comprehensive comparison to experiments we first establish that the inclusion of the U correction worsens the accuracy for the lattice constants. Consequently, PBE structures are used for subsequent property evaluations. The band gaps show a significant dependence on U. In particular, for 134 (21%) of the materials the U parameter induces a metal-to-insulator transition. For the magnetic materials we calculate the magnetic moment, magnetic exchange coupling, and magnetic anisotropy parameters. In contrast to the band gaps, the size of the magnetic moments shows only weak dependence on U. Both the exchange energies and magnetic anisotropy parameters are systematically reduced by the U correction. On this basis we conclude that the Hubbard U correction will lead to lower predicted Curie temperatures in 2D materials. All the calculated properties are available in the Computational 2D Materials Database (C2DB).

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引用次数: 0
Accelerating materials property prediction via a hybrid Transformer Graph framework that leverages four body interactions 通过利用四体相互作用的混合变压器图框架加速材料属性预测
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-18 DOI: 10.1038/s41524-024-01472-7
Mohammad Madani, Valentina Lacivita, Yongwoo Shin, Anna Tarakanova

Machine learning has advanced the rapid prediction of inorganic materials properties, yet data scarcity for specific properties and capturing thermodynamic stability remains challenging. We propose a framework utilizing a Graph Neural Network with composition-based and crystal structure-based architectures, combined with a transfer learning scheme. This approach accurately predicts energy-related properties (e.g., total energy, energy above the convex hull, energy band gap) and data-scarce mechanical properties (e.g., bulk and shear modulus). Our model incorporates four-body interactions, capturing periodicity and structural characteristics. It outperforms state-of-the-art models in 8 materials property regression tasks. Also, this model predicts local atomic environments and global structural features better than several models. Transfer learning addresses mechanical property data scarcity, while separate architecture analysis allows application to materials lacking crystal structure information. Our framework’s interpretability aids in understanding elemental contributions, enhancing material design and discovery. Continuous advancements promise further performance improvements, driving efficient and accurate materials property prediction.

机器学习促进了无机材料性质的快速预测,但特定性质的数据稀缺和捕获热力学稳定性仍然具有挑战性。我们提出了一个利用基于组合和基于晶体结构的图神经网络架构的框架,并结合迁移学习方案。这种方法可以准确预测与能量相关的特性(例如,总能量、凸壳以上的能量、能带间隙)和数据稀缺的力学特性(例如,体积和剪切模量)。我们的模型包含四体相互作用,捕获周期性和结构特征。它在8个材料属性回归任务中优于最先进的模型。此外,该模型对局部原子环境和全局结构特征的预测效果优于几种模型。迁移学习解决了机械性能数据的稀缺性,而单独的体系结构分析允许应用于缺乏晶体结构信息的材料。我们的框架的可解释性有助于理解元素的贡献,增强材料的设计和发现。不断的进步承诺进一步的性能改进,推动高效和准确的材料性能预测。
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引用次数: 0
Excitons in nonlinear optical responses: shift current in MoS2 and GeS monolayers 非线性光学响应中的激子:MoS2和GeS单层中的移位电流
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-13 DOI: 10.1038/s41524-024-01504-2
J. J. Esteve-Paredes, M. A. García-Blázquez, A. J. Uría-Álvarez, M. Camarasa-Gómez, J. J. Palacios

It is well-known that exciton effects are determinant to understanding the optical absorption spectrum of low-dimensional materials. However, the role of excitons in nonlinear optical responses has been much less investigated at the experimental level. Additionally, computational methods to calculate nonlinear conductivities in real materials are still not widespread, particularly taking into account excitonic interactions. We present a methodology to calculate the excitonic second-order optical responses in 2D materials relying on: (i) ab initio tight-binding Hamiltonians obtained by Wannier interpolation and (ii) solving the Bethe-Salpeter equation with effective electron-hole interactions. Here, in particular, we explore the role of excitons in the shift current of monolayer materials. Focusing on MoS2 and GeS monolayer systems, our results show that 2p-like excitons, which are dark in the linear response regime, yield a contribution to the photocurrent comparable to that of 1s-like excitons. Under radiation with intensity ~104W/cm2, the excitonic theory predicts in-gap photogalvanic currents of almost ~10 nA in sufficiently clean samples, which is typically one order of magnitude higher than the value predicted by independent-particle theory near the band edge.

众所周知,激子效应是理解低维材料光吸收光谱的决定性因素。然而,激子在非线性光学响应中的作用在实验水平上的研究要少得多。此外,计算实际材料中非线性电导率的计算方法仍然不广泛,特别是考虑激子相互作用。我们提出了一种计算二维材料中激子二阶光学响应的方法,该方法依赖于:(i)由万尼尔插值获得的从头算紧结合哈密顿量和(ii)求解具有有效电子-空穴相互作用的Bethe-Salpeter方程。在这里,我们特别探讨了激子在单层材料位移电流中的作用。聚焦于MoS2和GeS单层系统,我们的研究结果表明,在线性响应体系中黑暗的2p类激子对光电流的贡献与1s类激子相当。在强度为~104W/cm2的辐射下,激子理论预测在足够清洁的样品中隙内光电流接近~ 10na,这通常比独立粒子理论预测的带边缘附近的值高一个数量级。
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引用次数: 0
Accelerating phase field simulations through a hybrid adaptive Fourier neural operator with U-net backbone 基于U-net骨干网的混合自适应傅里叶神经算子加速相场模拟
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-13 DOI: 10.1038/s41524-024-01488-z
Christophe Bonneville, Nathan Bieberdorf, Arun Hegde, Mark Asta, Habib N. Najm, Laurent Capolungo, Cosmin Safta

Prolonged contact between a corrosive liquid and metal alloys can cause progressive dealloying. For one such process as liquid-metal dealloying (LMD), phase field models have been developed to understand the mechanisms leading to complex morphologies. However, the LMD governing equations in these models often involve coupled non-linear partial differential equations (PDE), which are challenging to solve numerically. In particular, numerical stiffness in the PDEs requires an extremely refined time step size (on the order of 10−12s or smaller). This computational bottleneck is especially problematic when running LMD simulation until a late time horizon is required. This motivates the development of surrogate models capable of leaping forward in time, by skipping several consecutive time steps at-once. In this paper, we propose a U-shaped adaptive Fourier neural operator (U-AFNO), a machine learning (ML) based model inspired by recent advances in neural operator learning. U-AFNO employs U-Nets for extracting and reconstructing local features within the physical fields, and passes the latent space through a vision transformer (ViT) implemented in the Fourier space (AFNO). We use U-AFNOs to learn the dynamics of mapping the field at a current time step into a later time step. We also identify global quantities of interest (QoI) describing the corrosion process (e.g., the deformation of the liquid-metal interface, lost metal, etc.) and show that our proposed U-AFNO model is able to accurately predict the field dynamics, in spite of the chaotic nature of LMD. Most notably, our model reproduces the key microstructure statistics and QoIs with a level of accuracy on par with the high-fidelity numerical solver, while achieving a significant 11, 200 × speed-up on a high-resolution grid when comparing the computational expense per time step. Finally, we also investigate the opportunity of using hybrid simulations, in which we alternate forward leaps in time using the U-AFNO with high-fidelity time stepping. We demonstrate that while advantageous for some surrogate model design choices, our proposed U-AFNO model in fully auto-regressive settings consistently outperforms hybrid schemes.

腐蚀性液体与金属合金的长时间接触会导致逐渐的脱合金化。对于液态金属脱合金(LMD)这样的过程,相场模型已经被开发出来以理解导致复杂形貌的机制。然而,这些模型中的LMD控制方程通常涉及耦合非线性偏微分方程(PDE),这对数值求解具有挑战性。特别是,偏微分方程中的数值刚度需要非常精细的时间步长(在10−12s或更小的数量级上)。当运行LMD模拟直到需要较晚的时间范围时,这个计算瓶颈尤其成问题。这激发了代理模型的发展,通过一次跳过几个连续的时间步骤,能够在时间上向前跳跃。在本文中,我们提出了一种u形自适应傅立叶神经算子(U-AFNO),这是一种基于机器学习(ML)的模型,灵感来自神经算子学习的最新进展。U-AFNO利用U-Nets对物理场内的局部特征进行提取和重构,并通过在傅里叶空间(AFNO)中实现的视觉变换(ViT)传递潜在空间。我们使用u - afno来学习将当前时间步长的场映射到以后时间步长的动力学。我们还确定了描述腐蚀过程的全局感兴趣量(qi)(例如,液态金属界面的变形,丢失的金属等),并表明我们提出的U-AFNO模型能够准确预测场动力学,尽管LMD具有混沌性。最值得注意的是,我们的模型以与高保真数值求解器相当的精度再现了关键的微观结构统计数据和qi,同时在比较每个时间步长的计算费用时,在高分辨率网格上实现了11,200倍的显着加速。最后,我们还研究了使用混合模拟的机会,在混合模拟中,我们使用具有高保真时间步进的U-AFNO在时间上交替向前跳跃。我们证明,虽然对一些替代模型设计选择有利,但我们提出的U-AFNO模型在完全自回归设置下始终优于混合方案。
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引用次数: 0
Sub-bandgap charge harvesting and energy up-conversion in metal halide perovskites: ab initio quantum dynamics 金属卤化物钙钛矿的亚带隙电荷收集和能量上转换:从头算量子动力学
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-11 DOI: 10.1038/s41524-024-01467-4
Bipeng Wang, Weibin Chu, Yifan Wu, Wissam A. Saidi, Oleg V. Prezhdo

Metal halide perovskites (MHPs) exhibit unusual properties and complex dynamics. By combining ab initio time-dependent density functional theory, nonadiabatic molecular dynamics and machine learning, we advance quantum dynamics simulation to nanosecond timescale and demonstrate that large fluctuations of MHP defect energy levels extend light absorption to longer wavelengths and enable trapped charges to escape into bands. This allows low energy photons to contribute to photocurrent through energy up-conversion. Deep defect levels can become shallow transiently and vice versa, altering the traditional defect classification into shallow and deep. While defect levels fluctuate more in MHPs than traditional semiconductors, some levels, e.g., Pb interstitials, remain far from band edges, acting as charge recombination centers. Still, many defects deemed detrimental based on static structures, are in fact benign and can contribute to energy up-conversion. The extended light harvesting and energy up-conversion provide strategies for design of novel solar, optoelectronic, and quantum information devices.

金属卤化物钙钛矿(MHPs)具有不同寻常的性质和复杂的动力学。通过结合从头算时间依赖密度泛函数理论、非绝热分子动力学和机器学习,我们将量子动力学模拟推进到纳秒时间尺度,并证明了MHP缺陷能级的大波动将光吸收扩展到更长的波长,并使捕获的电荷逃逸到能带中。这允许低能量光子通过能量上转换形成光电流。深度缺陷级别可以瞬间变浅,反之亦然,改变了传统的缺陷分类为浅和深。与传统半导体相比,MHPs中的缺陷水平波动更大,但某些水平(例如Pb间隙)仍然远离能带边缘,充当电荷重组中心。尽管如此,许多基于静态结构的缺陷被认为是有害的,实际上是良性的,可以促进能量的上转换。扩展的光收集和能量上转换为新型太阳能、光电和量子信息器件的设计提供了策略。
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引用次数: 0
Magnetic anisotropy of 4f atoms on a WSe2 monolayer: a DFT + U study 单层WSe2上4f原子的磁各向异性:DFT + U研究
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-11 DOI: 10.1038/s41524-024-01502-4
Johanna P. Carbone, Gustav Bihlmayer, Stefan Blügel

Inspired by recent advancements in the field of single-atom magnets, particularly those involving rare-earth (RE) elements, we present a theoretical exploration employing DFT+U calculations to investigate the magnetic properties of selected 4f atoms, specifically Eu, Gd, and Ho, on a monolayer of the transition-metal dichalcogenide WSe2 in the 1H-phase. This study comparatively examines RE with diverse 4f orbital fillings and valence chemistry, aiming to understand how different coverage densities atop WSe2 affect magnetocrystalline anisotropy. We observe that RE lacking 5d occupation exhibit larger magnetic anisotropy energies at high densities, while those with outer 5d electrons show larger anisotropies in dilute configurations. Additionally, even half-filled 4f shell atoms with small orbital magnetic moments can generate substantial energy barriers for magnetization rotation due to prominent orbital hybridizations with WSe2. Open 4f shell atoms further enhance anisotropy barriers through spin-orbit coupling effects. These aspects are crucial for realizing stable magnetic information units experimentally.

受单原子磁体领域最新进展的启发,特别是那些涉及稀土(RE)元素的磁体,我们提出了一个理论探索,采用DFT+U计算来研究选择的4f原子,特别是Eu, Gd和Ho,在1h相的过渡金属二硫系WSe2单层上的磁性。本研究比较研究了不同4f轨道填充和价化学的稀土,旨在了解不同WSe2覆盖密度对磁晶各向异性的影响。我们观察到缺乏5d占位的稀土在高密度态表现出更大的磁各向异性能,而外层有5d电子的稀土在稀态表现出更大的磁各向异性能。此外,即使是轨道磁矩较小的半填充4f壳层原子,由于与WSe2的显著轨道杂化,也会产生大量的磁化旋转能垒。打开4f壳层原子通过自旋-轨道耦合效应进一步增强各向异性势垒。这些方面是实验实现稳定磁信息单元的关键。
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引用次数: 0
Discovering novel lead-free solder alloy by multi-objective Bayesian active learning with experimental uncertainty 基于实验不确定性的多目标贝叶斯主动学习发现新型无铅焊料合金
IF 9.7 1区 材料科学 Q1 CHEMISTRY, PHYSICAL Pub Date : 2025-01-10 DOI: 10.1038/s41524-024-01480-7
Qinghua Wei, Yuanhao Wang, Guo Yang, Tianyuan Li, Shuting Yu, Ziqiang Dong, Tong-Yi Zhang

We present a multi-objective Bayesian active learning strategy, which greatly accelerates the discovery of super high-strength and high-ductility lead-free solder alloys. The active learning strategy demonstrates that a machine learning model will have high generalizability if experimental data uncertainty is included, which greatly improves the model prediction or the material design accuracy. The feature-point-start forward method in multi-objective optimization adopts two Gaussian process regression (GPR) models, one for strength and one for elongation, and their outputs build up the acquisition-function-modified objective space of strength and elongation. Then, Bayesian sampling is applied to design the next experiments by balancing exploitation and exploration. Seven multi-objective active learning iterations discovered two novel super high-strength and high-ductility lead-free solder alloys. After that, various material characterizations were conducted on the two novel solder alloys, and the results exhibited their high performances in melting properties, wettability, electrical conductivity, and shear strength of the solder joint and explored the mechanism of high strength and high ductility of the alloys. The present work systematically analyzes the important role of experimental uncertainty in machine learning, especially in the global optimization for material design, which demands high generalizability of predictions.

提出了一种多目标贝叶斯主动学习策略,极大地促进了超高强度、高延展性无铅钎料合金的发现。主动学习策略表明,在考虑实验数据不确定性的情况下,机器学习模型具有较高的泛化能力,大大提高了模型预测或材料设计的精度。多目标优化中的特征点-起点正演方法采用两种高斯过程回归(GPR)模型,一种是强度模型,另一种是伸长率模型,它们的输出建立了强度和伸长率的获取函数修正目标空间。然后,利用贝叶斯抽样来平衡开采和勘探,设计下一步的实验。七次多目标主动学习迭代发现了两种新型超高强度、高延展性无铅钎料合金。随后,对两种新型钎料合金进行了各种材料表征,结果表明其在熔点性能、润湿性、电导率、焊点抗剪强度等方面均表现出优异的性能,并对合金的高强高延性机理进行了探讨。本文系统地分析了实验不确定性在机器学习中的重要作用,特别是在材料设计的全局优化中,这需要高度的预测泛化性。
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引用次数: 0
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