Hall Conductivity of Two-Dimensional Electrons in an Abrikosov Magnetic Flux Lattice

ORAL

Abstract

We study, both theoretically and experimentally, the Hall transport of two-dimensional electrons exposed to a magnetic field produced by an Abrikosov flux lattice. Our experiments on monolayer graphene-hBN-NbSe2 heterostructure demonstrate a substantial reduction in the Hall conductivity as the temperature is reduced from above the superconducting critical temperature of NbSe2, when the magnetic field is uniform, to below, where the magnetic field bunches into an Abrikosov flux lattice. We provide a quantitative explanation of this phenomenon by evaluating the cumulative Berry curvature of occupied states using a lattice model, while also taking account of disorder, and extrapolating to the continuum limit. A fundamental role is played by a correlation between the Berry curvature and the energy within Landau levels broadened by the non-uniform magnetic field.

*U.S. Department of Energy, Office of Basic Energy Sciences, Grant No. desc0005042

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Presenters

  • Jonathan Schirmer

    • Pennsylvania State University

Authors

  • Jonathan Schirmer

    • Pennsylvania State University

  • Ravi Khandelwal

    • Physics, Indian Institute of Science, Bangalore

  • Kenji Watanabe

    • National Institute for Materials Science, Japan
    • National Institute for Material Science
    • National Institute for Materials Science
    • National Institute for Materials Science, Tsukuba
    • Research Center for Functional Materials, NIMS
    • nims
    • Advanced Materials Laboratory, National Institute for Materials Science
    • National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • NIMS
    • National Institute for Material Science - Japan
    • NIMS Tsukuba
    • National Institute for Materials Science, Namiki 1-1, Ibaraki 305-0044, Japan.
    • National Institute for Materials Science (NIMS)
    • National Institute for Materials Science,Tsukuba, Ibaraki 305-0047, Japan
    • Advanced Materials Laboratory, NIMS, Japan
    • National Institute for Materials Science,1-1 Namiki, Tsukuba, 305-0044, Japan
    • National Institute of Materials Science
    • National Institute for Materials Science, University of Tsukuba
    • National Institute for Materials Science, Tsukuba, Japan
    • National Institute for Material Science, Japan
    • National Institue for Material Science, Tsukuba
    • Advanced Materials Laboratory, NIMS
    • Advanced Materials Laboratory, National Institute for Materials Science, Tsukuba 305-0044, Japan
    • Advanced Matrials Lab, NIMS
    • National Institute for Material Science, Tsukuba, Japan
    • National institute for materials science
    • NIMS-Tsukuba
    • NIMS, Japan
    • National Institute for Materials Science, Namiki Tsukuba Ibaraki, Japan
    • NIRM
    • Advanced Materials Laboratory, National Institute for Materials Science, Tsukuba, Japan
    • NIMS Japan
    • National Institute for Materials Science, Tsukuba, Ibaraki 305-0044, Japan
    • Research Center for Functional Materials, National Institute for Materials Science, Tsukuba, Ibaraki, Japan
    • Advanced Materials Laboratory, National Institute of Materials Science
    • Advanced Materials Laboratory, National Institute for Materials Science 1-1 Namiki, Tsukuba, 305-0044, Japan
    • National Institute of Material Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science (Japan)
    • Physics, NIMS
    • National Institute of Materials Science, Japan
    • National Institute of Materials Science (NIMS)
    • National Institute of Materials Science, Tsukuba, Ibaraki 305-0044, Japan
    • NIMS - Tsukuba

  • Takashi Taniguchi

    • National Institute for Materials Science
    • National Institute for Material Science, Japan
    • National Institute of Material Science in Tsukuba
    • Kyoto Univ
    • Chemical Engineering, Kyoto University
    • Advanced Materials Laboratory, National Institute for Materials Science
    • National Institute of Materials Science (NIMS)
    • National Institute of Materials Science, Japan
    • Kyoto University

  • Pratap Raychaudhuri

    • Tata Institute of Fundamental Research
    • TIFR, Mumbai, India

  • Jainendra Jain

    • Pennsylvania State University
    • Department of Physics, Pennsylvania State University

  • Chaoxing Liu

    • Physics department, Pennsylvania State University
    • Pennsylvania State University

  • Anindya Das

    • Indian Institute of Science - Dept of Physics
    • Physics, Indian Institute of Science, Bangalore
    • Department of Physics, Indian Institute of Science
    • Department of physics, Indian Institute of Science, Bangalore 560012, India