Atomic Layer-by-layer Growth of Oxide Thin Films by Laser MBE

ORAL

Abstract

We have established a laser MBE-based atomic layer-by-layer thin film growth technique. By in-situ monitoring the reflection high-energy electron diffraction (RHEED) intensity, oxide binary compound targets, such as SrO, TiO$_{2}$, were ablated sequentially to assemble SrTiO$_{3}$ in an atomic layer-by-layer manner. Stoichiometry and crystal structures of the films are confirmed ex-situ by Rutherford backscattering spectrometry and x-ray diffraction. UV Raman spectroscopy was used to probe the symmetry breaking due to the cation off-stoichiometry. Highly accurate stoichiometry control as shown by reactive MBE has been demonstrated. Similarly, CaMnO$_{3}$ films were deposited by ablating CaO and MnO$_{2}$ targets separately. The strain states and electronic structure of the CaMnO$_{3}$ films on various substrates were studied via x-ray diffraction and polarization-dependent x-ray absorption spectroscopy. This atomic layer-by-layer growth technique has applications on the growth of a wide range of perovskite thin films and superlattices.

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Authors

  • Qingyu Lei

    Temple University, Department of Physics, Temple University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University

  • Eva Andrei

    National Center for Biotechnology Information, NIH, Pennsylvania State Univ, Department of Physics, Temple University, CAS Key Laboratory of Materials for Energy Conversion, Shanghai Institute of Ceramics, Chinese Academy of Science, Department of Physics, Boise State University, National Synchrotron Light Source, Brookhaven National Laboratory, York Univ, Erciyes Univ, Chinese Academy of Sciences Hefei, Pennsylvania State Univ and USTC, Heidelberg Institute for Theoretical Studies, MIT, Harvard, Penn State University, Canadian Institute for Theoretical Astrophysics, The Pennsylvania State University, University Park, Pennsylvania State University, Penn State, Department of Physics, Penn State University, University Park, USA, National Institute for Material Science, 1-1 Namiki, Tsukuba, Japan, Carnegie Mellon University, IPICYT, Mexico, Shinshu University, Japan, Universidad Carlos III de Madrid, Spain, Universidade de Sao Paulo, Brazil, Tsinghua University, China, American Physical Society, Appalachian State University, West Chester Univ, Lehigh University, Drew University, University of Balearics Islands, Roanoke College, NIST, Tulane Univ, Shanghai Jiao Tong Univ, Zhejiang Univ, National Institute of Standards and Technology, Department of Physics, The Pennsylvania State University, Department of Electrical Engineering, The Pennsylvania State University, Department of Materials Science and Engineering, the Pennsylvania State University, Hefei National Laboratory for Physical Sciences at Microscale, Department of Physics, University of Science and Technology of China, International Center for Quantum Materials, Peking University, Villanova University, West Virginia University, Institut Lumiere Matiere, PSU, Oak Ridge National Laboratory, Towson Univ, CINVESTAV-Queretaro, Prince George Community College, Howard University, Towson University, The Pennsylvania State University, Hokkaido Univ, Cinvestav-Unidad Queretaro, Queretaro-76230, Mexico, Lawrence Livermore National Laboratory, Osaka University, Penn State Univ, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, Department of Anthropology, The Pennsylvania State University, ILM Universit\'{e} Lyon 1, Moravian College, Bloomsburg Univ, Universit\"at Bielefeld, Syracuse University, Alabama A\&M University, Indiana University of PA, University of Denver, IUP, University of Nebraska, University of Science and Technology of China, Seoul National University, Soochow University China, US Army Research Laboratory, Drexel University, University of Stuttgart, Youngstown State University, University of Surrey, Department of Chemistry and Biochemistry, University of Maryland, College Park, Department of Mathematics, West Virginia University, University of Delaware, Physics Department, The Pennsylvania State University, 104 Davey Lab, University Park, PA, 16802, USA, Department of Physics and Astronomy, West Virginia University, McMaster University, University of Toronto, The University of Texas at Austin, Army Research Lab, Adelphi MD, University of Connecticut, Notre Dame, University of Maryland, Department of Physics and Center for 2-Dimensional and Layered Materials, The Pennsylvania State University, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Rutgers University