Accelerating high-throughput searches for new alloys with active learning of interatomic potentials

We propose an approach to materials prediction that uses a machine-learning interatomic potential to approximate quantum-mechanical energies and an active learning algorithm for the automatic selection of an optimal training dataset. Our approach significantly reduces the amount of DFT calculations needed, resorting to DFT only to produce the training data, while structural optimization is performed using the interatomic potentials. Our approach is not limited to one (or a small number of) lattice types (as is the case for cluster expansion, for example) and can predict structures with lattice types not present in the training dataset. We demonstrate the effectiveness of our algorithm by predicting the convex hull for the following three systems: Cu-Pd, Co-Nb-V, and Al-Ni-Ti. Our method is three to four orders of magnitude faster than conventional high-throughput DFT calculations and explores a wider range of materials space. In all three systems, we found unreported stable structures compared to the AFLOW database. Because our method is much cheaper and explores much more of materials space than high-throughput methods or cluster expansion, and because our interatomic potentials have a systematically improvable accuracy compared to empirical potentials such as EAM, etc., it will have a significant impact in the discovery of new alloy phases, particularly those with three or more components.

[1]  R. Kondor,et al.  Gaussian approximation potentials: the accuracy of quantum mechanics, without the electrons. , 2009, Physical review letters.

[2]  John R. Kitchin,et al.  Neural network and ReaxFF comparison for Au properties , 2016 .

[3]  Gus L. W. Hart,et al.  Generating derivative structures at a fixed concentration , 2012 .

[4]  Volker L. Deringer,et al.  Machine learning based interatomic potential for amorphous carbon , 2016, 1611.03277.

[5]  Yousef Saad,et al.  Formation enthalpies for transition metal alloys using machine learning , 2017 .

[6]  Andrea Grisafi,et al.  Symmetry-Adapted Machine Learning for Tensorial Properties of Atomistic Systems. , 2017, Physical review letters.

[7]  Alok Choudhary,et al.  Combinatorial screening for new materials in unconstrained composition space with machine learning , 2014 .

[8]  J. Behler Neural network potential-energy surfaces in chemistry: a tool for large-scale simulations. , 2011, Physical chemistry chemical physics : PCCP.

[9]  Alexander V. Shapeev,et al.  Moment Tensor Potentials: A Class of Systematically Improvable Interatomic Potentials , 2015, Multiscale Model. Simul..

[10]  Yang Wang,et al.  Beyond Atomic Sizes and Hume-Rothery Rules: Understanding and Predicting High-Entropy Alloys , 2015 .

[11]  Krishna Rajan,et al.  Materials Informatics: The Materials ``Gene'' and Big Data , 2015 .

[12]  Marco Buongiorno Nardelli,et al.  AFLOWLIB.ORG: A distributed materials properties repository from high-throughput ab initio calculations , 2012 .

[13]  Surya R. Kalidindi,et al.  Materials Data Science: Current Status and Future Outlook , 2015 .

[14]  S. Curtarolo,et al.  AFLOW: An automatic framework for high-throughput materials discovery , 2012, 1308.5715.

[15]  Justin S. Smith,et al.  Hierarchical modeling of molecular energies using a deep neural network. , 2017, The Journal of chemical physics.

[16]  Sergei Manzhos,et al.  Neural network‐based approaches for building high dimensional and quantum dynamics‐friendly potential energy surfaces , 2015 .

[17]  Qiang Zhu,et al.  New developments in evolutionary structure prediction algorithm USPEX , 2013, Comput. Phys. Commun..

[18]  Chao Jiang,et al.  Efficient Ab initio Modeling of Random Multicomponent Alloys. , 2016, Physical review letters.

[19]  Svetlozar Nestorov,et al.  The Computational Materials Repository , 2012, Computing in Science & Engineering.

[20]  Michele Parrinello,et al.  Generalized neural-network representation of high-dimensional potential-energy surfaces. , 2007, Physical review letters.

[21]  Jörg Behler,et al.  Representing the potential-energy surface of protonated water clusters by high-dimensional neural network potentials. , 2015, Physical chemistry chemical physics : PCCP.

[22]  Gus L. W. Hart,et al.  A computational high-throughput search for new ternary superalloys , 2016, 1603.05967.

[23]  Alexie M. Kolpak,et al.  Grand canonical molecular dynamics simulations of Cu–Au nanoalloys in thermal equilibrium using reactive ANN potentials , 2015 .

[24]  M. Gastegger,et al.  High-Dimensional Neural Network Potentials for Organic Reactions and an Improved Training Algorithm. , 2015, Journal of chemical theory and computation.

[25]  Conrad W. Rosenbrock,et al.  Robustness of the cluster expansion: Assessing the roles of relaxation and numerical error , 2017, 1701.03080.

[26]  Gus L. W. Hart,et al.  Stability and instability of long-period superstructures in binary Cu–Pd alloys: A first principles study , 2009 .

[27]  Bing He,et al.  Cluster expansion method and its application in computational materials science , 2016 .

[28]  Stéphane Mallat,et al.  Wavelet Scattering Regression of Quantum Chemical Energies , 2016, Multiscale Model. Simul..

[29]  Zhenwei Li,et al.  Molecular dynamics with on-the-fly machine learning of quantum-mechanical forces. , 2015, Physical review letters.

[30]  Alexander V. Shapeev,et al.  Active learning of linearly parametrized interatomic potentials , 2016, 1611.09346.

[31]  J Behler,et al.  Representing potential energy surfaces by high-dimensional neural network potentials , 2014, Journal of physics. Condensed matter : an Institute of Physics journal.

[32]  Gus L. W. Hart,et al.  Reinterpreting the Cu–Pd phase diagram based on new ground-state predictions , 2007 .

[33]  Volker L. Deringer,et al.  Data-Driven Learning of Total and Local Energies in Elemental Boron. , 2017, Physical review letters.

[34]  Konstantin Gubaev,et al.  Machine learning of molecular properties: Locality and active learning. , 2017, The Journal of chemical physics.

[35]  Alexie M. Kolpak,et al.  Discovering charge density functionals and structure-property relationships with PROPhet: A general framework for coupling machine learning and first-principles methods , 2017, Scientific Reports.

[36]  Rampi Ramprasad,et al.  Learning scheme to predict atomic forces and accelerate materials simulations , 2015, 1505.02701.

[37]  Muratahan Aykol,et al.  Materials Design and Discovery with High-Throughput Density Functional Theory: The Open Quantum Materials Database (OQMD) , 2013 .

[38]  Christian Trott,et al.  Spectral neighbor analysis method for automated generation of quantum-accurate interatomic potentials , 2014, J. Comput. Phys..

[39]  Adrian E. Roitberg,et al.  Less is more: sampling chemical space with active learning , 2018, The Journal of chemical physics.

[40]  Gábor Csányi,et al.  Accuracy and transferability of Gaussian approximation potential models for tungsten , 2014 .