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  1. 1. Utilizing the JARVIS Infrastructure to Discover and Accurately Characterize Next- generation Quantum Materials 1/31/2023 Daniel Wines NRC Postdoctoral Associate NIST, Materials Science and Engineering Division Joint Automated Repository for Various Integrated Simulations https://jarvis.nist.gov/
  2. 2. Outline • Introduction • JARVIS-DFT • Bulk Superconductors • 2D Superconductors • Topological Materials • JARVIS-QMC • Motivation and Background • 2D CrX3 Magnets • Conclusions and Outlook
  3. 3. Acknowledgement and Collaboration 3 A. Biacchi (NIST) D. Wines (NIST) R. Gurunathan (NIST) B. DeCost (NIST) Bobby sumpter (ORNL) A. Agarwal (Northwestern University) S. Kalidindi (GAtech) A. Reid (NIST) Ruth Pachter (AFRL) Karen Sauer (George Mason University) K. Garrity (NIST) David Vanderbilt (Rutgers University) Sergei Kalinin (ORNL) F. Tavazza (NIST) K. Choudhary (NIST)
  4. 4. User-comments: • “There are many different theoretical levels on which you can approach the field. JARVIS is unusual in that it spans more levels than other databases.” • “A pure gold-mine for the data-quality effort…” • “You guys are doing something really beneficial…” • “I find JARVIS-DFT very useful for my research…” Databases, Tools, Events, Outreach https://jarvis.nist.gov Established: January 2017 Published: >40 articles Users: >10000+ users worldwide Downloads: >500K Events: • Quantum Matters in Materials Science (QMMS) • Artificial Intelligence for Materials Science (AIMS) • JARVIS-School Requires login credentials, free registration Choudhary et al., npj Computational Materials 6, 173 (2020). GitHub: Notebooks: Docs:
  5. 5. 2017 2018 2019 2020 2021 JARVIS-FF (Evaluate FF) JARVIS-DFT 2D (OptB88vdW, Exf. En.) JARVIS-DFT Optoelectronics (TBmBJ) JARVIS-DFT Elastic Tensor 3D & 2D JARVIS-ML CFID descriptors JARVIS-FF (Evaluate FF, defects) JARVIS-DFT Topological SOC spillage 3D JARVIS-DFT /ML K-point convergence JARVIS-DFT Solar SLME JARVIS-DFT Topological SOC spillage 2D (Mag/Non-Mag.) JARVIS-DFT/ML 2D Heterostructures JARVIS-DFT/ML DFPT Dielec., Piezo., IR JARVIS-DFT/ML Thermoelectrics 3D & 2D Seebeck, PF JARVIS-DFT EFG NQR, NMR JARVIS-AQCE 2D JARVIS-DFT WTBH Topological SOC spillage 3D Mag., non-mag, Exp. JARVIS-AtomQC VQE/VQD JARVIS-DAC MOFs AtomVison (STEM/STM) JARVIS-TB TB3PY JARVIS- ALIGNN JARVIS- OPTIMADE 2022 JARVIS- SuperConductors ALIGNN-FF ALIGNN-Spectra (DOS/XANES/Dielec. JARVIS-QMC JARVIS-AHC JARVIS-ChemNLP
  6. 6. 2017 2018 2019 2020 2021 JARVIS-FF (Evaluate FF) JARVIS-DFT 2D (OptB88vdW, Exf. En.) JARVIS-DFT Optoelectronics (TBmBJ) JARVIS-DFT Elastic Tensor 3D & 2D JARVIS-ML CFID descriptors JARVIS-FF (Evaluate FF, defects) JARVIS-DFT Topological SOC spillage 3D JARVIS-DFT /ML K-point convergence JARVIS-DFT Solar SLME JARVIS-DFT Topological SOC spillage 2D (Mag/Non-Mag.) JARVIS-DFT/ML 2D Heterostructures JARVIS-DFT/ML DFPT Dielec., Piezo., IR JARVIS-DFT/ML Thermoelectrics 3D & 2D Seebeck, PF JARVIS-DFT EFG NQR, NMR JARVIS-AQCE 2D JARVIS-DFT WTBH Topological SOC spillage 3D Mag., non-mag, Exp. JARVIS-AtomQC VQE/VQD JARVIS-DAC MOFs AtomVison (STEM/STM) JARVIS-TB TB3PY JARVIS- ALIGNN JARVIS- OPTIMADE 2022 JARVIS- SuperConductors ALIGNN-FF ALIGNN-Spectra (DOS/XANES/Dielec. JARVIS-QMC JARVIS-AHC JARVIS-ChemNLP
  7. 7. JARVIS-DFT Motivation: Functional and structural materials design using quantum mechanical methods ~70,000 materials, millions of calculated properties, compared with experiments if possible https://jarvis.nist.gov/jarvisdft/ K. Choudhary, K. Garrity, et al. npj Comp. Mater. 6 173 (2020): https://doi.org/10.1038/s41524-020-00440-1
  8. 8. Efficient energy conversion Superconductivity Nano Lett. 13, 3664–3670 (2013) 2D Transistors • LEDs • Flexible electronics https://www.nextplatform.com/2019/09/13/tsmc-thinks-it-can-uphold-moores-law-for-decades/ Nano Lett. 21, 3435 - 3442 (2021) 2D Magnets • Spintronics • Magnetic Storage J. Chem. Phys. 156, 014707 (2022) Next Generation Materials https://phys.org/news/2014-01-quantum-natural-3d-counterpart-graphene.html
  9. 9. • Need for High-TC, Ambient condition superconductors +large dataset to choose from • Experimental datasets (NIMS-SuperCon) contains chemical formula only • Expensive experiments as well as computation • Need for High-throughput computation workflow-DFT • Verify candidates with fast experimental techniques Superconductors: Materials to conduct electricity without energy loss when they are cooled below a critical temperature, TC MgB2 (TC = 39 K): Highest TC ambient condition conventional superconductor https://doi.org/10.1016/j.isci.2021.102541 https://en.wikipedia.org/ Nobel prizes: 1913, 1972, 1973, 1987, 2003 Superconductors
  10. 10. JARVIS: Superconductors & E-Ph coupling Eliashberg spectral function Electron-phonon coupling (EPC) Effective Coulomb potential (empirical), taken as 0.1 McMillan-Allen-Dynes Eq. • EPC derived from Eliashberg spectral function • Obtained from DFPT calculations • Interpolation method used (broadening converged) • PBEsol and GBRV pseudopotentials Choudhary et al., npj Computational Materials, 8, 244 (2022)
  11. 11. JARVIS: Bulk Superconductors Debye Temp DOS at EFermi Bardeen, Cooper, Schrieffer (BCS) Theory-based screening Choudhary et al., npj Computational Materials, 8, 244 (2022)
  12. 12. JARVIS: Bulk Superconductors • Benchmarked against several well-known superconductors (experiment and theory) • Revealed previously undiscovered superconductors: h-MoN, h-ZrN, LaN2, and several others Choudhary et al., npj Computational Materials, 8, 244 (2022)
  13. 13. JARVIS: 2D Superconductors • 2D superconductivity is emerging field, very few materials with high Tc • Computational screening is necessary precursor to experimental investigation • Utilized JARVIS framework to screen new 2D superconductors, modified criteria Wines et al., Nano Letters, 10.1021/acs.nanolett.2c04420 (2023)
  14. 14. JARVIS: 2D Superconductors • Distribution of EPC data for 2D superconductors • Experimental verification of selected commercially available materials (magnetometry) Wines et al., Nano Letters, 10.1021/acs.nanolett.2c04420 (2023) Tc, exp = 8.3 K Tc, DFT = 6.4 K Tc, exp = 7.1 K Tc, DFT = 9.3 K
  15. 15. Spin-orbit coupling & Topological Materials New class of materials (electronic bandgap perspective) https://phys.org/news/2014-01-quantum-natural-3d-counterpart-graphene.html https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcSzMKD5ICIkR9neJRre3prqIjp_iqLMu6TQp7mXKJqmmh-HqjFB (2016 Nobel prize) Metal Semiconductor Insulator
  16. 16. Spin-orbit Spillage • Majority of the topological materials driven by spin-orbit coupling (SOC) • Simple idea: Compare wavefunctions of a material with and without SOC? • Spillage initially proposed for insulators only, now extended to metals also • For trivial materials, spillage 0.0, non-trivial materials ≥ 0.25 16 https://www.ctcms.nist.gov/~knc6/jsmol/JVASP-1067 𝜂 𝐤 = 𝑛𝑜𝑐𝑐(𝐤) − Tr 𝑃𝑃 ; 𝑃 𝐤 = 𝑛=1 ) 𝑛𝑜𝑐𝑐(𝐤 |𝜓𝑛𝐤 𝜓𝑛𝐤| Sci. Rep., 9, 8534 (2019) NPJ Comp. Mat., 6, 49 (2020) Phys Rev B, 103, 054602 (2021)
  17. 17. Spin-orbit coupling & Topological Materials • A number of high-spillage materials have been verified experimentally to be topological insulators Nature Materials 21, 1111–1115 (2022) Choudhary, et al. Phys. Rev. B 103, 155131 (2021)
  18. 18. DFT: Success and Limitations • Results depend directly on which XC functional is used • van der Waals interactions (corrections) • Systems with strongly localized and correlated electrons (DFT+U) • Band gaps (underestimated) Proposed Solutions • Post DFT methods (many-body perturbation theory) • Stochastic methods (Quantum Monte Carlo) • Reduces 3N-dimensional problem to 3 • Good balance between computational efficiency and accuracy DFT Successes DFT Shortcomings
  19. 19. Computational Metrology: Quantum Monte Carlo • A class of algorithms that apply MC integration to solve quantum problems (many-body) • Variational MC (VMC) and Diffusion MC (DMC) are most common for studying crystals • Scales ~Ne 3 (similar to DFT), accuracy beyond DFT • Current state of the art software: QMCPACK
  20. 20. QMC: Variational MC WF Optimization From DFT For correlation       SLATER JASTROW    x x x Trial Wavefunction • Types of Jastrow factors: • Electron-electron • Electron-nucleus • Electron-electron-nucleus • Slater determinant from DFT and Jastrow factor has some functional form and recovers correlation energy • Parameters of the Jastrow are optimized with VMC before DMC • Jastrow optimization decreases error in DMC J. Chem. Phys. 146, 244101 (2017)
  21. 21. QMC: Diffusion MC Diffusion Monte Carlo (DMC) Diffusion of walkers in imaginary time Imaginary-time Schrödinger Eq. Fixed-nodal surface • DMC: Simulate diffusion of walkers in imaginary-time until you reach steady state • Timestep errors • Finite size errors Rev. Mod. Phys., 73, 1, (2002) Rev. Mod. Phys., 73, 1, (2002)
  22. 22. QMC: Workflow
  23. 23. JARVIS-QMC: 2D CrX3 Magnets • Case study of 2D correlated magnets with CrX3 stoichiometry • QMC added to JARVIS framework
  24. 24. JARVIS-QMC: 2D CrX3 Magnets Wines, et al. J. Phys. Chem. C 127, 2, 1176-1188 (2023) 2D Model Spin Hamiltonian: J Isotropic Heisenberg Exchange D Easy Axis Single Ion Anisotropy λ Anisotropic Symmetric Exchange *Tc (Curie Temperature) estimated by method of Torelli and Olsen 2D Materials, 6, 015028 (2019) Strong variability in DFT results
  25. 25. JARVIS-QMC: 2D CrX3 Magnets • Optimal trial WF can be created by tuning U parameter • U = 2 eV variationally yields optimal WF Wines, et al. J. Phys. Chem. C 127, 2, 1176-1188 (2023)
  26. 26. JARVIS-QMC: 2D CrX3 Magnets • Accurate statistical bound on magnetic exchange and Curie Temperature • Maximum Tc: 43.56 K for CrI3 and 20.78 K for CrBr3 • Less dependence on starting functional and Hubbard (U) parameter • Same workflow can be applied to other 2D ferromagnets • Goal: JARVIS-QMC database Wines, et al. J. Phys. Chem. C 127, 2, 1176-1188 (2023)
  27. 27. JARVIS-QMC: 2D CrX3 Magnets • Can obtain accurate estimates for spin density and magnetic moment with DMC Wines, et al. J. Phys. Chem. C 127, 2, 1176-1188 (2023)
  28. 28. 33 JARVIS-QMC: 2D VSe2 (T and H phase)
  29. 29. Conclusions and Outlook • JARVIS-DFT framework can be used to screen exotic next generation materials: o Superconductors, topological insulators, magnets • When DFT yields inconclusive results, QMC methods can be used for higher accuracy • These open access tools and datasets are intended to benefit materials science community
  30. 30. Resources • NIST-JARVIS Infrastructure: • Databases: • DFT, Classical Forcefield, Tight-binding, Experimental … • Coming Soon: QMC database • Tools: • ALIGNN, Quantum computation, high-throughput DFT … • Events! Conferences and JARVIS Schools Email: daniel.wines@nist.gov , ramya.gurunathan@nist.gov, kamal.choudhary@nist.gov, francesca.tavazza@nist.gov Slides: https://www.slideshare.net/ Website: https://jarvis.nist.gov/ GitHub: https://github.com/usnistgov/jarvis https://github.com/usnistgov/alignn https://github.com/usnistgov/atomvision https://github.com/usnistgov/chemnlp https://github.com/usnistgov/atomqc Artificial Intelligence for Materials Science Summer, 2023 Invited speakers from academia, industry, and government + contributed talks https://jarvis.nist.gov/events/aims NRC Postdoc Opportunities: Many project opportunities for recent PhDs interested in quantum materials, machine learning, computation, and materials design.

Editor's Notes

  • Hello everyone, my name is Daniel Wines and I am a postdoc at NIST.
  • These are the primary contributors and collaborators to JARVIS.
  • What are 2d materials?
    Crystalline materials consisting of a single layer of atoms
    These materials exhibit interesting properties, often much different than their bulk counterparts
    Of course, Graphene was one of first, started 2d revolution

    So why should we care about 2D materials?
    -Since they are so different from their bulk counterparts they have interesting properties that we can utilize for applications such as transistors and electronics, energy conversion and H2 generation
    -Also in accordance with Moore’s law

    -2d materials are the next logical step as these chips and technologies get smaller and smaller
  • Currently the most popular electronic structure method is DFT
    Maps a fully interacting electronic system to a fully noninteracting system using a functional* of the electron density

    -Explain error, errors increase when materials are correlated
    -obviously DFT has some shortcomings despite its successes: read off slides “most importantly band gap”
    -mention corrections
    -Some of the proposed solutions for a more accurate electronic structure are many-body perturbation theory and QMC

    Solutions (read)
  • -The first type of QMC we will talk about it VMC. Here a trial WF is created and then the integral in the variational equation are solved using MC integration.
    -Read off slide
  • -It is essential that the trial WF for QMC is good, for accurate results and convergence purposes
    -For the most accurate results, it is useful to optimize the WF with VMC. This involves multiplying the single det WF by a Jastrow factor which is a functional expression that adds additional correlation effects to the many-body WF
    -Read types of Jastrows
    -VMC and WF optimization are usually a precursor to more accurate DMC
  • In the following step: diffusion monte carlo, the Schro eq is recast into the imaginary time Schro eq….where walkers diffuse in imaginary time until a steady state is reached

    The main approximation in DMC is the fixed node approx., which prevents the walkers from changing sign in the simulation, solves fermion sign problem, bound on the energy

    In addition there are time step and finite size errors that must be addressed to achieve an accurate DMC result

    We can also excite the system to obtain the quasiparticle and optical gaps with DMC

    Mention QMCPACK and Nexus to automate DFT->VMC->DMC
  • **Emphasize the difficulty of QMC over DFT, but talk about payoff in accuracy

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