Pushing the Pareto front of band gap and permittivity: ML-guided search for dielectric materials (2401.05848v1)
Abstract: Materials with high-dielectric constant easily polarize under external electric fields, allowing them to perform essential functions in many modern electronic devices. Their practical utility is determined by two conflicting properties: high dielectric constants tend to occur in materials with narrow band gaps, limiting the operating voltage before dielectric breakdown. We present a high-throughput workflow that combines element substitution, ML pre-screening, ab initio simulation and human expert intuition to efficiently explore the vast space of unknown materials for potential dielectrics, leading to the synthesis and characterization of two novel dielectric materials, CsTaTeO6 and Bi2Zr2O7. Our key idea is to deploy ML in a multi-objective optimization setting with concave Pareto front. While usually considered more challenging than single-objective optimization, we argue and show preliminary evidence that the $1/x$-correlation between band gap and permittivity in fact makes the task more amenable to ML methods by allowing separate models for band gap and permittivity to each operate in regions of good training support while still predicting materials of exceptional merit. To our knowledge, this is the first instance of successful ML-guided multi-objective materials optimization achieving experimental synthesis and characterization. CsTaTeO6 is a structure generated via element substitution not present in our reference data sources, thus exemplifying successful de-novo materials design. Meanwhile, we report the first high-purity synthesis and dielectric characterization of Bi2Zr2O7 with a band gap of 2.27 eV and a permittivity of 20.5, meeting all target metrics of our multi-objective search.
- “High- k Gate Dielectrics for Emerging Flexible and Stretchable Electronics” In Chemical Reviews 118.11, 2018, pp. 5690–5754 DOI: 10.1021/acs.chemrev.8b00045
- Rocío Ponce Ortiz, Antonio Facchetti and Tobin J. Marks “High-k Organic, Inorganic, and Hybrid Dielectrics for Low-Voltage Organic Field-Effect Transistors” In Chemical Reviews 110.1, 2010, pp. 205–239 DOI: 10.1021/cr9001275
- “Novel High-κ Dielectrics for next-Generation Electronic Devices Screened by Automated Ab Initio Calculations” In NPG Asia Materials 7.6 Nature Publishing Group, 2015, pp. e190–e190 DOI: 10.1038/am.2015.57
- “High-Throughput Screening of Inorganic Compounds for the Discovery of Novel Dielectric and Optical Materials” In Scientific Data 4.1 Nature Publishing Group, 2017, pp. 160134 DOI: 10.1038/sdata.2016.134
- “High-Throughput Density-Functional Perturbation Theory Phonons for Inorganic Materials” In Scientific Data 5.1 Nature Publishing Group, 2018, pp. 180065 DOI: 10.1038/sdata.2018.65
- “High-Throughput Density Functional Perturbation Theory and Machine Learning Predictions of Infrared, Piezoelectric, and Dielectric Responses” In npj Computational Materials 6.1 Nature Publishing Group, 2020, pp. 1–13 DOI: 10.1038/s41524-020-0337-2
- “Computational Screening of All Stoichiometric Inorganic Materials” In Chem 1.4, 2016, pp. 617–627 DOI: 10.1016/j.chempr.2016.09.010
- “Finding the Next Superhard Material through Ensemble Learning” In Advanced Materials 33.5, 2021, pp. 2005112 DOI: 10.1002/adma.202005112
- “Accelerating Materials Discovery with Bayesian Optimization and Graph Deep Learning” In Materials Today, 2021 DOI: 10.1016/j.mattod.2021.08.012
- “Machine-Learning-Assisted Determination of the Global Zero-Temperature Phase Diagram of Materials” In Advanced Materials 35.22, 2023, pp. 2210788 DOI: 10.1002/adma.202210788
- “Perspective: Web-based Machine Learning Models for Real-Time Screening of Thermoelectric Materials Properties” In APL Materials 4.5 American Institute of Physics, 2016, pp. 053213 DOI: 10.1063/1.4952607
- “Material Descriptors for Predicting Thermoelectric Performance” In Energy & Environmental Science 8.3 The Royal Society of Chemistry, 2015, pp. 983–994 DOI: 10.1039/C4EE03157A
- “Bimetallic Monolayer Catalyst Breaks the Activity–Selectivity Trade-off on Metal Particle Size for Efficient Chemoselective Hydrogenations” In Nature Catalysis 4.10 Nature Publishing Group, 2021, pp. 840–849 DOI: 10.1038/s41929-021-00679-x
- Anna Liutkova, Nikolay Kosinov and Emiel J.M. Hensen “Ca/ZSM-5 Catalysts for the Methanol-to-Hydrocarbons Reaction: Activity – Selectivity Trade-Off?” In Journal of Catalysis 428, 2023, pp. 115169 DOI: 10.1016/j.jcat.2023.115169
- “Investigations of Mechanical Properties and Deformation Behaviors of the Cr Modified Ti–Au Shape Memory Alloys” In Journal of Alloys and Compounds 897, 2022, pp. 163134 DOI: 10.1016/j.jallcom.2021.163134
- “Effect of Shape Memory Alloys on the Mechanical Properties of Metallic Glasses: A Molecular Dynamics Study” In Computational Materials Science 187, 2021, pp. 110088 DOI: 10.1016/j.commatsci.2020.110088
- Ross D. King “Rise of the Robo Scientists” In Scientific American 304.1 Scientific American, a division of Nature America, Inc., 2011, pp. 72–77 JSTOR: https://www.jstor.org/stable/26002355
- “Reconfigurable System for Automated Optimization of Diverse Chemical Reactions” In Science 361.6408 American Association for the Advancement of Science, 2018, pp. 1220–1225 DOI: 10.1126/science.aat0650
- “Organic Synthesis in a Modular Robotic System Driven by a Chemical Programming Language” In Science 363.6423 American Association for the Advancement of Science, 2019, pp. eaav2211 DOI: 10.1126/science.aav2211
- “A Mobile Robotic Chemist” In Nature 583.7815 Nature Publishing Group, 2020, pp. 237–241 DOI: 10.1038/s41586-020-2442-2
- “An Autonomous Laboratory for the Accelerated Synthesis of Novel Materials” In Nature 624.7990 Nature Publishing Group, 2023, pp. 86–91 DOI: 10.1038/s41586-023-06734-w
- “Modular, Multi-Robot Integration of Laboratories: An Autonomous Workflow for Solid-State Chemistry” In Chemical Science Royal Society of Chemistry, 2024 URL: https://pubs.rsc.org/en/content/articlehtml/2024/sc/d3sc06206f
- “Benchmarking Density Functional Perturbation Theory to Enable High-Throughput Screening of Materials for Dielectric Constant and Refractive Index” In Physical Review B 93.11 American Physical Society, 2016, pp. 115151 DOI: 10.1103/PhysRevB.93.115151
- “Rapid Discovery of Novel Materials by Coordinate-free Coarse Graining”, 2021 arXiv: http://arxiv.org/abs/2106.11132
- “Commentary: The Materials Project: A Materials Genome Approach to Accelerating Materials Innovation” In APL Materials 1.1 American Institute of Physics, 2013, pp. 011002 DOI: 10.1063/1.4812323
- Hai-Chen Wang, Silvana Botti and Miguel A.L. Marques “Predicting Stable Crystalline Compounds Using Chemical Similarity” In npj Computational Materials 7.1 Nature Publishing Group, 2021, pp. 1–9 DOI: 10.1038/s41524-020-00481-6
- “The Inorganic Crystal Structure Data Base” In Journal of Chemical Information and Computer Sciences 23.2 American Chemical Society, 1983, pp. 66–69 DOI: 10.1021/ci00038a003
- “The Thermodynamic Scale of Inorganic Crystalline Metastability” In Science Advances 2.11, 2016, pp. e1600225 DOI: 10.1126/sciadv.1600225
- “High Dielectric Ternary Oxides from Crystal Structure Prediction and High-Throughput Screening” In Scientific Data 7.1 Nature Publishing Group, 2020, pp. 81 DOI: 10.1038/s41597-020-0418-6
- “Recent Developments in the Inorganic Crystal Structure Database: Theoretical Crystal Structure Data and Related Features” In Journal of Applied Crystallography 52.5 International Union of Crystallography, 2019, pp. 918–925 DOI: 10.1107/S160057671900997X
- Jyoti Pandey, Vipul Shrivastava and Rajamani Nagarajan “Metastable Bi2Zr2O7 with Pyrochlore-like Structure: Stabilization, Oxygen Ion Conductivity, and Catalytic Properties” In Inorganic Chemistry 57.21 American Chemical Society, 2018, pp. 13667–13678 DOI: 10.1021/acs.inorgchem.8b02258
- “An Article on Optics of Paint Layers” In Z. Tech. Phys, 1931, pp. 593–601
- Morten Weiss, Benedikt Wirth and Roland Marschall “Photoinduced Defect and Surface Chemistry of Niobium Tellurium Oxides ANbTeO6 (A = K, Rb, Cs) with Defect-Pyrochlore Structure” In Inorganic Chemistry 59.12, 2020, pp. 8387–8395 DOI: 10.1021/acs.inorgchem.0c00811
- “Dielectric Characteristics of Bismuth Oxide Solid Solutions with a Fluorite‐Like Crystal Structure” In Journal of the American Ceramic Society 87.6, 2004, pp. 1056–1061 DOI: 10.1111/j.1551-2916.2004.01056.x
- J.H. Choi, Y. Mao and J.P. Chang “Development of Hafnium Based High-k Materials—A Review” In Materials Science and Engineering: R: Reports 72.6, 2011, pp. 97–136 DOI: 10.1016/j.mser.2010.12.001
- Yee-Chia Yeo, Tsu-Jae King and Chenming Hu “MOSFET Gate Leakage Modeling and Selection Guide for Alternative Gate Dielectrics Based on Leakage Considerations” In IEEE Transactions on Electron Devices 50.4, 2003, pp. 1027–1035 DOI: 10.1109/TED.2003.812504
- “A Novel Approach for Determining the Effective Tunneling Mass of Electrons in HfO2 and Other High-K Alternative Gate Dielectrics for Advanced CMOS Devices” In Microelectronic Engineering 72.1, Proceedings of the 13th Biennial Conference on Insulating Films on Semiconductors, 2004, pp. 257–262 DOI: 10.1016/j.mee.2003.12.047
- “The Optimal One Dimensional Periodic Table: A Modified Pettifor Chemical Scale from Data Mining” In New Journal of Physics 18.9 IOP Publishing, 2016, pp. 093011 DOI: 10.1088/1367-2630/18/9/093011
- “Ground-State Properties of Rare-Earth Metals: An Evaluation of Density-Functional Theory” In Journal of Physics: Condensed Matter 26.41 IOP Publishing, 2014, pp. 416001 DOI: 10.1088/0953-8984/26/41/416001
- Kristin Persson “Materials Project :: About”, 2022 About the Materials Project URL: https://materialsproject.org/about#db-stats
- “Named Entity Recognition and Normalization Applied to Large-Scale Information Extraction from the Materials Science Literature” In Journal of Chemical Information and Modeling 59.9 American Chemical Society, 2019, pp. 3692–3702 DOI: 10.1021/acs.jcim.9b00470
- “Deep Residual Learning for Image Recognition”, 2015 arXiv: http://arxiv.org/abs/1512.03385
- Vinod Nair and Geoffrey E. Hinton “Rectified Linear Units Improve Restricted Boltzmann Machines”, 2010 URL: https://openreview.net/forum?id=rkb15iZdZB
- Balaji Lakshminarayanan, Alexander Pritzel and Charles Blundell “Simple and Scalable Predictive Uncertainty Estimation Using Deep Ensembles”, 2016 arXiv: http://arxiv.org/abs/1612.01474
- “Efficiency of Ab-Initio Total Energy Calculations for Metals and Semiconductors Using a Plane-Wave Basis Set” In Computational materials science 6.1, 1996, pp. 15–50
- “Efficient Iterative Schemes for Ab Initio Total-Energy Calculations Using a Plane-Wave Basis Set” In Physical Review B 54.16, 1996, pp. 11169–11186 DOI: 10.1103/PhysRevB.54.11169
- P.E. Blöchl “Projector Augmented-Wave Method” In Physical Review B 50.24 American Physical Society, 1994, pp. 17953–17979 DOI: 10.1103/PhysRevB.50.17953
- David C. Langreth and M.J. Mehl “Beyond the Local-Density Approximation in Calculations of Ground-State Electronic Properties” In Physical Review B 28.4 American Physical Society, 1983, pp. 1809–1834 DOI: 10.1103/PhysRevB.28.1809
- John P. Perdew, Matthias Ernzerhof and Kieron Burke “Rationale for Mixing Exact Exchange with Density Functional Approximations” In The Journal of Chemical Physics 105.22 American Institute of Physics, 1996, pp. 9982–9985 DOI: 10.1063/1.472933
- “Python Materials Genomics (Pymatgen): A Robust, Open-Source Python Library for Materials Analysis” In Computational Materials Science 68, 2013, pp. 314–319 DOI: 10.1016/j.commatsci.2012.10.028
- “Atomate: A High-Level Interface to Generate, Execute, and Analyze Computational Materials Science Workflows” In Computational Materials Science 139, 2017, pp. 140–152 DOI: 10.1016/j.commatsci.2017.07.030
- “FireWorks: A Dynamic Workflow System Designed for High-Throughput Applications” In Concurrency and Computation: Practice and Experience 27.17, 2015, pp. 5037–5059 DOI: 10.1002/cpe.3505
- “Comparative Study of Electronic Structures and Dielectric Properties of Alumina Polymorphs by First-Principles Methods” In Physical Review B 76.24 American Physical Society, 2007, pp. 245110 DOI: 10.1103/PhysRevB.76.245110
- “Dynamical Matrices, Born Effective Charges, Dielectric Permittivity Tensors, and Interatomic Force Constants from Density-Functional Perturbation Theory” In Physical Review B 55.16 American Physical Society, 1997, pp. 10355–10368 DOI: 10.1103/PhysRevB.55.10355
- “Writes Hurt: Lessons in Cache Design for Optane NVRAM”, 2022 DOI: 10.48550/arXiv.2205.14122
- “Crystal Toolkit: A Web App Framework to Improve Usability and Accessibility of Materials Science Research Algorithms”, 2023 DOI: 10.48550/arXiv.2302.06147
- Shammamah Hossain “Visualization of Bioinformatics Data with Dash Bio” In Proceedings of the 18th Python in Science Conference, 2019, pp. 126–133 DOI: 10.25080/Majora-7ddc1dd1-012
- “Density of States Prediction for Materials Discovery via Contrastive Learning from Probabilistic Embeddings”, 2021 arXiv: http://arxiv.org/abs/2110.11444
- “From Molecules to Materials: Pre-training Large Generalizable Models for Atomic Property Prediction”, 2023 DOI: 10.48550/arXiv.2310.16802
- “Preparation and Photocatalytic Properties of Bi2Zr2O7 Photocatalyst” In Materials Letters 156, 2015, pp. 195–197 DOI: 10.1016/j.matlet.2015.05.107
- “Bridging and Synergistic Effect of the Pyrochlore like Bi2 Zr2 O7 Structure with Robust CdCuS Solid Solution for Durable Photocatalytic Removal of the Organic Pollutants” In RSC Advances 10.15, 2020, pp. 8880–8894 DOI: 10.1039/D0RA00644K
- “A New Approach to Preparing Bi 2 Zr 2 O 7 Photocatalysts for Dye Degradation” In Materials Research Express 5.1, 2018, pp. 015039 DOI: 10.1088/2053-1591/aaa584
- “Bi2Zr2O7 Nanoparticles Synthesized by Soft-Templated Sol-Gel Methods for Visible-Light-Driven Catalytic Degradation of Tetracycline” In Chemosphere 210, 2018, pp. 424–432 DOI: 10.1016/j.chemosphere.2018.07.040
- “Synthesis, Characterization and Photocatalytic Properties of Nanoscale Pyrochlore Type Bi2Zr2O7” In Materials Science and Engineering: B 240, 2019, pp. 133–139 DOI: 10.1016/j.mseb.2019.01.017
- “Green-Engineered Synthesis of Bi2Zr2O7 NPs: Excellent Performance on Electrochemical Sensor and Sunlight-Driven Photocatalytic Studies” In Environmental Science and Pollution Research, 2023 DOI: 10.1007/s11356-022-24760-5
- “New Phases in the ZrO2–Bi2O3 and HfO2–Bi2O3 Systems” In Materials Research Bulletin 33.7, 1998, pp. 1077–1081 DOI: 10.1016/S0025-5408(98)00076-2
- “Synthesis, Structure, Characterization and Photocatalytic Activity of Bi2Zr2O7 under Solar Radiation” In RSC Advances 3.41, 2013, pp. 18938 DOI: 10.1039/c3ra43518k
- “NUV Light-Induced Visible Green Emissions of Erbium-doped Hierarchical Bi2Zr2O7 Structures” In Optical Materials 95, 2019, pp. 109237 DOI: 10.1016/j.optmat.2019.109237
- “Unraveling the Principles of Lattice Disorder Degree of Bi2 B2 O7 (B = Sn, Ti, Zr) Compounds on Activating Gas Phase O2 for Soot Combustion” In ACS Catalysis 11.19, 2021, pp. 12112–12122 DOI: 10.1021/acscatal.1c03075
- Charles Francis Simon “The Synthesis and Characterisation of Pyrochlore Frameworks”, 2010 URL: https://eprints.soton.ac.uk/203757/
- “Structure Analysis and Electronic Properties of ATe4+0.5Te6+1.5-xM6+xO6 (A=Rb, Cs, M6+=Mo, W) Solid Solutions with Beta-Pyrochlore Structure” In Journal of Solid State Chemistry 293, 2021, pp. 121787 DOI: 10.1016/j.jssc.2020.121787
- “Cation Displacements and the Structures of the Superconducting Pyrochlore Osmates A Os 2 O 6 ( A = K , Rb, and Cs)” In Physical Review B 77.10, 2008, pp. 104523 DOI: 10.1103/PhysRevB.77.104523
- “Crystal Structure and Thermal Behavior of Pyrochlores CsTeMoO6 and RbTe1.25Mo0.75O6” In Journal of Solid State Chemistry 272, 2019, pp. 47–54 DOI: 10.1016/j.jssc.2019.01.026