DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Machine‐Learning Spectral Indicators of Topology

Journal Article · · Advanced Materials
ORCiD logo [1]; ORCiD logo [2];  [3];  [4];  [5];  [6];  [5];  [7]; ORCiD logo [8]; ORCiD logo [5]
  1. Center for Nanoscale Materials Argonne National Laboratory Lemont IL 60439 USA, Quantum Measurement Group Massachusetts Institute of Technology Cambridge MA 02139 USA, Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge MA 02139 USA
  2. Department of Physics University of Pennsylvania Philadelphia PA 19104 USA, John A. Paulson School of Engineering and Applied Sciences Harvard University Cambridge MA 02138 USA
  3. John A. Paulson School of Engineering and Applied Sciences Harvard University Cambridge MA 02138 USA, Department of Physics Princeton University Princeton NJ 08544 USA, Donostia International Physics Center P. Manuel de Lardizabal 4 Donostia‐San Sebastian 20018 Spain, IKERBASQUE Basque Foundation for Science Plaza Euskadi 5 Bilbao 48009 Spain
  4. John A. Paulson School of Engineering and Applied Sciences Harvard University Cambridge MA 02138 USA, Department of Physics Princeton University Princeton NJ 08544 USA
  5. Center for Nanoscale Materials Argonne National Laboratory Lemont IL 60439 USA, Quantum Measurement Group Massachusetts Institute of Technology Cambridge MA 02139 USA, IKERBASQUE Basque Foundation for Science Plaza Euskadi 5 Bilbao 48009 Spain, Department of Nuclear Science and Engineering Massachusetts Institute of Technology Cambridge MA 02139 USA
  6. Department of Nuclear Science and Engineering Massachusetts Institute of Technology Cambridge MA 02139 USA, Advanced Photon Source Argonne National Laboratory Lemont IL 60439 USA
  7. Center for Nanoscale Materials Argonne National Laboratory Lemont IL 60439 USA, Quantum Measurement Group Massachusetts Institute of Technology Cambridge MA 02139 USA, Department of Physics University of Pennsylvania Philadelphia PA 19104 USA, John A. Paulson School of Engineering and Applied Sciences Harvard University Cambridge MA 02138 USA
  8. Department of Physics University of Pennsylvania Philadelphia PA 19104 USA, John A. Paulson School of Engineering and Applied Sciences Harvard University Cambridge MA 02138 USA, Advanced Photon Source Argonne National Laboratory Lemont IL 60439 USA, Department of Mathematics University of Wisconsin–Madison Madison WI 53706 USA, Computational Research Division Lawrence Berkeley Laboratory Berkeley CA 94720 USA

Abstract Topological materials discovery has emerged as an important frontier in condensed matter physics. While theoretical classification frameworks have been used to identify thousands of candidate topological materials, experimental determination of materials’ topology often poses significant technical challenges. X‐ray absorption spectroscopy (XAS) is a widely used materials characterization technique sensitive to atoms’ local symmetry and chemical bonding, which are intimately linked to band topology by the theory of topological quantum chemistry (TQC). Moreover, as a local structural probe, XAS is known to have high quantitative agreement between experiment and calculation, suggesting that insights from computational spectra can effectively inform experiments. In this work, computed X‐ray absorption near‐edge structure (XANES) spectra of more than 10 000 inorganic materials to train a neural network (NN) classifier that predicts topological class directly from XANES signatures, achieving F 1 scores of 89% and 93% for topological and trivial classes, respectively is leveraged. Given the simplicity of the XAS setup and its compatibility with multimodal sample environments, the proposed machine‐learning‐augmented XAS topological indicator has the potential to discover broader categories of topological materials, such as non‐cleavable compounds and amorphous materials, and may further inform field‐driven phenomena in situ, such as magnetic field‐driven topological phase transitions.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
European Research Council (ERC); National Science Foundation (NSF); USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
Grant/Contract Number:
AC02-05CH11231; AC02-06CH11357; SC0020148; SC0021940
OSTI ID:
1895495
Journal Information:
Advanced Materials, Journal Name: Advanced Materials Journal Issue: 49 Vol. 34; ISSN 0935-9648
Publisher:
Wiley Blackwell (John Wiley & Sons)Copyright Statement
Country of Publication:
Germany
Language:
English

References (76)

Deep‐Learning‐Enabled Fast Optical Identification and Characterization of 2D Materials journal June 2020
Toward Interpretable Machine Learning Models for Materials Discovery journal October 2019
Python Materials Genomics (pymatgen): A robust, open-source python library for materials analysis journal February 2013
The Materials Application Programming Interface (API): A simple, flexible and efficient API for materials data based on REpresentational State Transfer (REST) principles journal February 2015
A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems journal January 2020
Materials discovery and design using machine learning journal September 2017
Accelerating materials discovery using machine learning journal July 2021
Random Forest Models for Accurate Identification of Coordination Environments from X-Ray Absorption Near-Edge Structure journal May 2020
Computational Data-Driven Materials Discovery journal February 2021
A Deep Neural Network for the Rapid Prediction of X-ray Absorption Spectra journal May 2020
Automatic Chemical Design Using a Data-Driven Continuous Representation of Molecules journal January 2018
Machine-learning-assisted materials discovery using failed experiments journal May 2016
Topological quantum chemistry journal July 2017
The space group classification of topological band-insulators journal December 2012
Topological materials discovery using electron filling constraints journal October 2017
A general-purpose machine learning framework for predicting properties of inorganic materials journal August 2016
Symmetry-based indicators of band topology in the 230 space groups journal June 2017
Quantitative mappings between symmetry and topology in solids journal August 2018
Machine-learning-assisted insight into spin ice Dy2Ti2O7 journal February 2020
On-the-fly closed-loop materials discovery via Bayesian active learning journal November 2020
Automated generation and ensemble-learned matching of X-ray absorption spectra journal March 2018
Automated estimation of materials parameter from X-ray absorption and electron energy-loss spectra with similarity measures journal March 2019
Random forest machine learning models for interpretable X-ray absorption near-edge structure spectrum-property relationships journal July 2020
Comprehensive scan for nonmagnetic Weyl semimetals with nonlinear optical response journal April 2020
Computational search for magnetic and non-magnetic 2D topological materials using unified spin–orbit spillage screening journal May 2020
Understanding X-ray absorption spectra by means of descriptors and machine learning algorithms journal December 2021
Efficient topological materials discovery using symmetry indicators journal February 2019
Identifying topological order through unsupervised machine learning journal May 2019
Identifying quantum phase transitions using artificial neural networks on experimental data journal July 2019
General construction and topological classification of crystalline flat bands journal December 2021
Topological materials discovery from crystal symmetry journal November 2021
Comprehensive search for topological materials using symmetry indicators journal February 2019
Catalogue of topological electronic materials journal February 2019
A complete catalogue of high-quality topological materials journal February 2019
Machine learning in electronic-quantum-matter imaging experiments journal June 2019
High-throughput calculations of magnetic topological materials journal October 2020
Data-driven approach for the prediction and interpretation of core-electron loss spectroscopy journal September 2018
High-throughput Discovery of Topologically Non-trivial Materials using Spin-orbit Spillage journal June 2019
Angle-resolved photoemission spectroscopy and its application to topological materials journal August 2019
High-throughput computational X-ray absorption spectroscopy journal July 2018
Accelerating materials property predictions using machine learning journal September 2013
Parameter-free calculations of X-ray spectra with FEFF9 journal January 2010
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Topological materials journal August 2012
Symmetry indicators of band topology journal April 2020
Disordered topological insulators: a non-commutative geometry perspective journal February 2011
Decoding Phases of Matter by Machine-Learning Raman Spectroscopy journal November 2019
Two-dimensional topological materials discovery by symmetry-indicator method journal November 2019
Detection of topological materials with machine learning journal June 2020
Application of induction procedure and Smith decomposition in calculation and topological classification of electronic band structures in the 230 space groups journal July 2020
Determining electronic properties from L -edge x-ray absorption spectra of transition metal compounds with artificial neural networks journal January 2021
High-throughput search for magnetic topological materials using spin-orbit spillage, machine learning, and experiments journal April 2021
Topological correspondence between magnetic space group representations and subdimensions journal June 2021
Topological classification and diagnosis in magnetically ordered electronic materials journal June 2022
Topological classification of crystalline insulators with space group symmetry journal August 2013
Building blocks of topological quantum chemistry: Elementary band representations journal January 2018
Quantum Loop Topography for Machine Learning journal May 2017
Topological Insulators in Amorphous Systems journal June 2017
Machine Learning Topological Invariants with Neural Networks journal February 2018
Machine Learning Topological Phases with a Solid-State Quantum Simulator journal May 2019
Machine-Learning X-Ray Absorption Spectra to Quantitative Accuracy journal April 2020
Unsupervised Machine Learning and Band Topology journal June 2020
Classification of local chemical environments from x-ray absorption spectra using supervised machine learning journal March 2019
Colloquium: Topological insulators journal November 2010
Topological insulators and superconductors journal October 2011
Colloquium : Topological band theory journal June 2016
Classification of topological quantum matter with symmetries journal August 2016
Weyl and Dirac semimetals in three-dimensional solids journal January 2018
Machine learning and the physical sciences journal December 2019
Structure and topology of band structures in the 1651 magnetic space groups journal August 2018
Topological materials discovery by large-order symmetry indicators journal March 2019
Topological states from topological crystals journal December 2019
All topological bands of all nonmagnetic stoichiometric materials journal May 2022
Speciation using X-ray absorption fine structure (XAFS) journal October 2015
Topological Materials: Weyl Semimetals journal March 2017
Fundamentals of XAFS journal January 2014