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Title: Harnessing interpretable and unsupervised machine learning to address big data from modern X-ray diffraction

Abstract

The information content of crystalline materials becomes astronomical when collective electronic behavior and their fluctuations are taken into account. In the past decade, improvements in source brightness and detector technology at modern X-ray facilities have allowed a dramatically increased fraction of this information to be captured. Now, the primary challenge is to understand and discover scientific principles from big datasets when a comprehensive analysis is beyond human reach. We report the development of an unsupervised machine learning approach, X-ray diffraction (XRD) temperature clustering (X-TEC), that can automatically extract charge density wave order parameters and detect intraunit cell ordering and its fluctuations from a series of high-volume X-ray diffraction measurements taken at multiple temperatures. We benchmark X-TEC with diffraction data on a quasi-skutterudite family of materials, (Ca x Sr 1 x ) 3 Rh 4 Sn 13 , where a quantum critical point is observed as a function of Ca concentration. We apply X-TEC to XRD data on the pyrochlore metal, Cd 2 Re 2 O 7 , to investigate its two much-debated structural phase transitions and uncover the Goldstone mode accompanying them. Wemore » demonstrate how unprecedented atomic-scale knowledge can be gained when human researchers connect the X-TEC results to physical principles. Specifically, we extract from the X-TEC–revealed selection rules that the Cd and Re displacements are approximately equal in amplitude but out of phase. This discovery reveals a previously unknown involvement of 5 d 2 Re, supporting the idea of an electronic origin to the structural order. Our approach can radically transform XRD experiments by allowing in operando data analysis and enabling researchers to refine experiments by discovering interesting regions of phase space on the fly.« less

Authors:
 [1]; ORCiD logo [1];  [1];  [2];  [1];  [1];  [1];  [3];  [2]; ORCiD logo [4];  [5];  [1];  [6]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [1]
  1. Cornell Univ., Ithaca, NY (United States)
  2. Argonne National Lab. (ANL), Lemont, IL (United States). Materials Science Division
  3. Univ. of Tennessee, Knoxville, TN (United States)
  4. Univ. of Maryland, College Park, MD (United States); National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
  5. New York Univ. (NYU), NY (United States)
  6. Argonne National Lab. (ANL), Lemont, IL (United States). Materials Science Division; Northern Illinois Univ., DeKalb, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States); Cornell Univ., Ithaca, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
OSTI Identifier:
1905312
Alternate Identifier(s):
OSTI ID: 2322542
Grant/Contract Number:  
AC02-06CH11357; SC0018946; OAC-1934714; DMR-1719875; DMR-1332208; DMR-1829070
Resource Type:
Accepted Manuscript
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 119; Journal Issue: 24; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; X-ray scattering; big data; machine learning

Citation Formats

Venderley, Jordan, Mallayya, Krishnanand, Matty, Michael, Krogstad, Matthew, Ruff, Jacob, Pleiss, Geoff, Kishore, Varsha, Mandrus, David, Phelan, Daniel, Poudel, Lekhanath, Wilson, Andrew Gordon, Weinberger, Kilian, Upreti, Puspa, Norman, Michael, Rosenkranz, Stephan, Osborn, Raymond, and Kim, Eun-Ah. Harnessing interpretable and unsupervised machine learning to address big data from modern X-ray diffraction. United States: N. p., 2022. Web. doi:10.1073/pnas.2109665119.
Venderley, Jordan, Mallayya, Krishnanand, Matty, Michael, Krogstad, Matthew, Ruff, Jacob, Pleiss, Geoff, Kishore, Varsha, Mandrus, David, Phelan, Daniel, Poudel, Lekhanath, Wilson, Andrew Gordon, Weinberger, Kilian, Upreti, Puspa, Norman, Michael, Rosenkranz, Stephan, Osborn, Raymond, & Kim, Eun-Ah. Harnessing interpretable and unsupervised machine learning to address big data from modern X-ray diffraction. United States. https://doi.org/10.1073/pnas.2109665119
Venderley, Jordan, Mallayya, Krishnanand, Matty, Michael, Krogstad, Matthew, Ruff, Jacob, Pleiss, Geoff, Kishore, Varsha, Mandrus, David, Phelan, Daniel, Poudel, Lekhanath, Wilson, Andrew Gordon, Weinberger, Kilian, Upreti, Puspa, Norman, Michael, Rosenkranz, Stephan, Osborn, Raymond, and Kim, Eun-Ah. Thu . "Harnessing interpretable and unsupervised machine learning to address big data from modern X-ray diffraction". United States. https://doi.org/10.1073/pnas.2109665119. https://www.osti.gov/servlets/purl/1905312.
@article{osti_1905312,
title = {Harnessing interpretable and unsupervised machine learning to address big data from modern X-ray diffraction},
author = {Venderley, Jordan and Mallayya, Krishnanand and Matty, Michael and Krogstad, Matthew and Ruff, Jacob and Pleiss, Geoff and Kishore, Varsha and Mandrus, David and Phelan, Daniel and Poudel, Lekhanath and Wilson, Andrew Gordon and Weinberger, Kilian and Upreti, Puspa and Norman, Michael and Rosenkranz, Stephan and Osborn, Raymond and Kim, Eun-Ah},
abstractNote = {The information content of crystalline materials becomes astronomical when collective electronic behavior and their fluctuations are taken into account. In the past decade, improvements in source brightness and detector technology at modern X-ray facilities have allowed a dramatically increased fraction of this information to be captured. Now, the primary challenge is to understand and discover scientific principles from big datasets when a comprehensive analysis is beyond human reach. We report the development of an unsupervised machine learning approach, X-ray diffraction (XRD) temperature clustering (X-TEC), that can automatically extract charge density wave order parameters and detect intraunit cell ordering and its fluctuations from a series of high-volume X-ray diffraction measurements taken at multiple temperatures. We benchmark X-TEC with diffraction data on a quasi-skutterudite family of materials, (Ca x Sr 1 − x ) 3 Rh 4 Sn 13 , where a quantum critical point is observed as a function of Ca concentration. We apply X-TEC to XRD data on the pyrochlore metal, Cd 2 Re 2 O 7 , to investigate its two much-debated structural phase transitions and uncover the Goldstone mode accompanying them. We demonstrate how unprecedented atomic-scale knowledge can be gained when human researchers connect the X-TEC results to physical principles. Specifically, we extract from the X-TEC–revealed selection rules that the Cd and Re displacements are approximately equal in amplitude but out of phase. This discovery reveals a previously unknown involvement of 5 d 2 Re, supporting the idea of an electronic origin to the structural order. Our approach can radically transform XRD experiments by allowing in operando data analysis and enabling researchers to refine experiments by discovering interesting regions of phase space on the fly.},
doi = {10.1073/pnas.2109665119},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 24,
volume = 119,
place = {United States},
year = {Thu Jun 09 00:00:00 EDT 2022},
month = {Thu Jun 09 00:00:00 EDT 2022}
}

Works referenced in this record:

Spatially modulated 'Mottness' in La2-xBaxCuO4
journal, December 2005

  • Abbamonte, P.; Rusydi, A.; Smadici, S.
  • Nature Physics, Vol. 1, Issue 3
  • DOI: 10.1038/nphys178

The microscopic structure of charge density waves in underdoped YBa2Cu3O6.54 revealed by X-ray diffraction
journal, December 2015

  • Forgan, E. M.; Blackburn, E.; Holmes, A. T.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms10064

Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010

  • Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
  • Nature, Vol. 466, Issue 7304
  • DOI: 10.1038/nature09169

Nematic Fermi Fluids in Condensed Matter Physics
journal, August 2010


Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond
journal, March 2019


A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd 2 Re 2 O 7
journal, April 2017


Goldstone-Mode Phonon Dynamics in the Pyrochlore Cd 2 Re 2 O 7
journal, September 2005


Machine learning in electronic-quantum-matter imaging experiments
journal, June 2019


Classifying snapshots of the doped Hubbard model with machine learning
journal, July 2019


One-component order parameter in URu 2 Si 2 uncovered by resonant ultrasound spectroscopy and machine learning
journal, March 2020


Integrating Neural Networks with a Quantum Simulator for State Reconstruction
journal, December 2019


Detection of hidden structures for arbitrary scales in complex physical systems
journal, March 2012

  • Ronhovde, P.; Chakrabarty, S.; Hu, D.
  • Scientific Reports, Vol. 2, Issue 1
  • DOI: 10.1038/srep00329

Imaging mechanism for hyperspectral scanning probe microscopy via Gaussian process modelling
journal, March 2020

  • Ziatdinov, Maxim; Kim, Dohyung; Neumayer, Sabine
  • npj Computational Materials, Vol. 6, Issue 1
  • DOI: 10.1038/s41524-020-0289-6

Structural characterisation of amorphous solid dispersions via metropolis matrix factorisation of pair distribution function data
journal, January 2019

  • Geddes, Harry S.; Blade, Helen; McCabe, James F.
  • Chemical Communications, Vol. 55, Issue 89
  • DOI: 10.1039/C9CC06753A

Computer-assisted area detector masking
journal, January 2017


Rapid identification of structural phases in combinatorial thin-film libraries using x-ray diffraction and non-negative matrix factorization
journal, October 2009

  • Long, C. J.; Bunker, D.; Li, X.
  • Review of Scientific Instruments, Vol. 80, Issue 10
  • DOI: 10.1063/1.3216809

Unsupervised phase mapping of X-ray diffraction data by nonnegative matrix factorization integrated with custom clustering
journal, August 2018

  • Stanev, Valentin; Vesselinov, Velimir V.; Kusne, A. Gilad
  • npj Computational Materials, Vol. 4, Issue 1
  • DOI: 10.1038/s41524-018-0099-2

Machine learning on neutron and x-ray scattering and spectroscopies
journal, September 2021

  • Chen, Zhantao; Andrejevic, Nina; Drucker, Nathan C.
  • Chemical Physics Reviews, Vol. 2, Issue 3
  • DOI: 10.1063/5.0049111

Speaker Verification Using Adapted Gaussian Mixture Models
journal, January 2000

  • Reynolds, Douglas A.; Quatieri, Thomas F.; Dunn, Robert B.
  • Digital Signal Processing, Vol. 10, Issue 1-3
  • DOI: 10.1006/dspr.1999.0361

Ambient Pressure Structural Quantum Critical Point in the Phase Diagram of ( Ca x Sr 1 x ) 3 Rh 4 Sn 13
journal, March 2015


Online EM for unsupervised models
conference, January 2009

  • Liang, Percy; Klein, Dan
  • Proceedings of Human Language Technologies: The 2009 Annual Conference of the North American Chapter of the Association for Computational Linguistics on - NAACL '09
  • DOI: 10.3115/1620754.1620843

From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015

  • Keimer, B.; Kivelson, S. A.; Norman, M. R.
  • Nature, Vol. 518, Issue 7538
  • DOI: 10.1038/nature14165

Evidence of a structural quantum critical point in ( Ca x Sr 1 − x ) 3 Rh 4 Sn 13 from a lattice dynamics study
journal, October 2018


Unveiling charge density wave quantum phase transitions by x-ray diffraction
journal, May 2020


Reciprocal space imaging of ionic correlations in intercalation compounds
journal, October 2019

  • Krogstad, Matthew J.; Rosenkranz, Stephan; Wozniak, Justin M.
  • Nature Materials, Vol. 19, Issue 1
  • DOI: 10.1038/s41563-019-0500-7

Superconductivity in the correlated pyrochlore Cd 2 Re 2 O 7
journal, October 2001


Superconductivity at 1 K in Cd 2 Re 2 O 7
journal, October 2001


Superconductivity in a pyrochlore oxide, Cd 2 Re 2 O 7
journal, August 2001

  • Sakai, Hironori; Yoshimura, Kazuyoshi; Ohno, Hiroyuki
  • Journal of Physics: Condensed Matter, Vol. 13, Issue 33
  • DOI: 10.1088/0953-8984/13/33/105

Nonlinear optical signatures of the tensor order in Cd2Re2O7 
journal, August 2006

  • Petersen, Jesse C.; Caswell, Michael D.; Dodge, J. Steven
  • Nature Physics, Vol. 2, Issue 9
  • DOI: 10.1038/nphys392

Pyrochlore Oxide Superconductor Cd 2 Re 2 O 7 Revisited
journal, February 2018

  • Hiroi, Zenji; Yamaura, Jun-ichi; Kobayashi, Tatsuo C.
  • Journal of the Physical Society of Japan, Vol. 87, Issue 2
  • DOI: 10.7566/JPSJ.87.024702

Nature of the tensor order in Cd 2 Re 2 O 7
journal, September 2017


Electric Toroidal Quadrupoles in the Spin-Orbit-Coupled Metal Cd 2 Re 2 O 7
journal, April 2019


Evidence of an Improper Displacive Phase Transition in Cd 2 Re 2 O 7 via Time-Resolved Coherent Phonon Spectroscopy
journal, January 2018


Discovery of a low-temperature orthorhombic phase of the Cd2Re2O7 superconductor
journal, July 2020


Structural Order Parameter in the Pyrochlore Superconductor Cd 2 Re 2 O 7
journal, July 2003

  • A. Sergienko, Ivan; H. Curnoe, Stephanie
  • Journal of the Physical Society of Japan, Vol. 72, Issue 7
  • DOI: 10.1143/JPSJ.72.1607

Broken Symmetries
journal, August 1962

  • Goldstone, Jeffrey; Salam, Abdus; Weinberg, Steven
  • Physical Review, Vol. 127, Issue 3
  • DOI: 10.1103/PhysRev.127.965

Manifestation of structural Higgs and Goldstone modes in the hexagonal manganites
journal, July 2020


Structural ordering and symmetry breaking in Cd 2 Re 2 O 7
journal, October 2002


Successive spatial symmetry breaking under high pressure in the spin-orbit-coupled metal C d 2 R e 2 O 7
journal, January 2017


Magnetization and universal sub-critical behaviour in two-dimensional XY magnets
journal, January 1993


The pyrochlore family ? a potential panacea for the frustrated perovskite chemist
journal, January 2004

  • Weller, Mark T.; Hughes, Robert W.; Rooke, Joanna
  • Dalton Transactions, Issue 19
  • DOI: 10.1039/b401787k

Spin-Peierls phases in pyrochlore antiferromagnets
journal, August 2002


The Effects of Soft Modes on the Structure and Properties of Materials
journal, August 1976


Machine learning for magnetic phase diagrams and inverse scattering problems
journal, November 2021

  • Samarakoon, Anjana M.; Alan Tennant, D.
  • Journal of Physics: Condensed Matter, Vol. 34, Issue 4
  • DOI: 10.1088/1361-648X/abe818

AXMAS Data
dataset, January 2021

  • Osborn, Raymond; Rosenkranz, Stephan; Haley, Charlotte
  • Materials Data Facility
  • DOI: 10.18126/iidy-30e7