Machine Learning Correlates Charge Density Wave with the Local Gap in Cuprate Superconductors

Kaylie Hausknecht; Abdul Qadeer Rehan; Abdul Qadeer Rehan; Abdul Qadeer Rehan; Abdul Qadeer Rehan; Abdul Qadeer Rehan; Abdul Qadeer Rehan; Abdul Qadeer Rehan; Abdul Qadeer Rehan

Machine Learning Correlates Charge Density Wave with the Local Gap in Cuprate Superconductors

ORAL

Abstract

With the advent of atomic resolution imaging techniques comes the challenge of disentangling the intrinsic electronic properties of materials from their stochastic atomic-scale disorder. In the past decade, machine learning (ML) image analysis techniques have rapidly evolved, while their applications in physics are just emerging. Here, we use ML to test local correlation hypotheses between spatially resolved measurements of disordered materials to overcome the limitations of standard Fourier analysis techniques. By training on a simulated density wave (DW) dataset, we develop a convolutional neural network (CNN) to uncover the doping-dependence of the DW in the cuprate superconductor (Pb,Bi)$_{2}$(Sr,La)$_{2}$CuO$_{6+δ}$ (Bi-2201) imaged via scanning tunneling microscopy. In Bi-based cuprates, the electronic inhomogeneity, caused by local variations in doping, limits the precision with which the DW wavevector can be measured. Our ML algorithm overcomes this limitation and allows clear differentiation between commensurate and incommensurate DW instabilities with physically distinct mechanisms. More broadly, our work lays the foundation for a ML approach to quantify intrinsic periodic order and correlations in datasets where these trends are masked by disorder.

Jan. 24, 2021, 12:00 PM – Jan. 24, 2021, 12:10 PM

Authors

Kaylie Hausknecht

Harvard University
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond
Abdul Qadeer Rehan

University of Tennessee, University of York, Old Dominion University, Massachusetts Institute of Technology, Old Dominion University, Massachusetts Institute of Technology, Lawrence Berkeley National Laboratory, University of California, Berkeley, Institute of Physics - University of Sao Paulo, Naval Research Laboratory, St. Cloud State University, University of Illinois at Urbana-Champaign, Space Sciences Laboratory, Virginia Polytechnic Institute and State University, Space Sciences Laboratory, University of California Berkeley, University of Maryland - Baltimore County, Sandia National Laboratories, Pacific Northwest National Laboratory, Federal University of Bahia; University of Brasília, Federal University of Bahia, Department of Applied Physics, Yale University & Department of Physics, Yale University, Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Department of Physics, University of Illinois at Urbana-Champaign & Current affiliation: Seagate Research Group, Seagate Technology, Department of Physics and Astronomy, Wayne State University, Department of Physics, University of Illinois at Urbana-Champaign, Department of Applied Physics, Yale University, Swarthmore College, Western Washington University, Departments of Chemistry and Physics and The Baruch 60 Center for Biochemical Solar Energy Research at Rensselaer Polytechnic Institute, University of Florida, Wayne State University, Vanderbilt University, University of Maryland, College Park, NASA GSFC, CfA, California Institute of Technology, Skidmore College, Durham University, University of Alberta, University of Michigan, Curtin University, Michigan State University, University of Nevada, University of Chicago, Duke University, Cornell, Pennsylvania State University, New York University Abu Dhabi, NASA Ames Research Center, Kenyon Coll, Kenyon College, University of Texas at Austin, Flatiron Institute, University of California, Los Angeles, Ohio State University, University of Pennsylvania, HERA, HERA, Rochester Institute of Technology, Howard Community College, Carleton College, California State University at Long Beach, Bishop Ireton High School, Fayetteville State University, Univ of Oklahoma, University of Massachusetts Amherst, Carnegie Observatories, San Diego State University, Associate of the National Institute of Standards and Technology, National Institute of Standards and Technology, NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, JILA, University of Colorado, 440 UCB, Boulder, CO, Department of Physics, 390 UCB University of Colorado, University of Washington, James Franck Institute, Enrico Fermi Institute, University of Chicago Department of Physics, Princeton University, Department of Physics, Arizona State University, Indiana Univ - Bloomington, National Autonomous University of Mexico, Harvard University, Nagoya University, Toyota Technological Institute, University of Tokyo, Zhejiang University, Clark University, Natl Univ of Singapore, University of Richmond