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Multi-atom quasiparticle scattering interference for superconductor energy-gap symmetry determination

Repository KITopen (Karlsruhe Institute of Technology)

Abstract

Complete theoretical understanding of the most complex superconductors requires a detailed knowledge of the symmetry of the superconducting energy-gap Δ$\frac{α}{k}$, for all momenta k on the Fermi surface of every band α. While there are a variety of techniques for determining |Δ$\frac{α}{k}$|, no general method existed to measure the signed values of Δ$\frac{α}{k}$. Recently, however, a technique based on phase-resolved visualization of superconducting quasiparticle interference (QPI) patterns, centered on a single non-magnetic impurity atom, was introduced. In principle, energy-resolved and phase-resolved Fourier analysis of these images identifies wavevectors connecting all k-space regions where Δ$\frac{α}{k}$ has the same or opposite sign. But use of a single isolated impurity atom, from whose precise location the spatial phase of the scattering interference pattern must be measured, is technically difficult. Here we introduce a generalization of this approach for use with multiple impurity atoms, and demonstrate its validity by comparing the Δ$\frac{α}{k}$ it generates to the Δ$\frac{α}{k}$ determined from single-atom scattering in FeSe where s± energy-gap symmetry is established. Finally, to exemplify utility, we use the multi-atom technique on LiFeAs and find scattering interference between the hole-like and electron-like pockets as predicted for Δ$\frac{α}{k}$ of opposite sign.

Authors 13

  1. Cornell University · Maryland Quantum Materials Center · University of Maryland, College Park

    Affiliation as printed

    Department of Physics, Cornell University, Ithaca, USA

    Maryland Quantum Materials Center, Department of Physics, University of Maryland, College Park, USA

  2. Leipzig University

    Affiliation as printed

    Institut für Theoretische Physik, Universität Leipzig, Leipzig, Germany

  3. University of Florida

    Affiliation as printed

    Department of Physics, University of Florida, Gainesville, USA

  4. Ruhr University Bochum

    Affiliation as printed

    Institut für Theoretische Physik, Ruhr-Universität Bochum, Bochum, Germany

  5. Cornell University

    Affiliation as printed

    Department of Physics, Cornell University, Ithaca, USA

  6. Leiden University

    Affiliation as printed

    Leiden Institute of Physics, Leiden University, Leiden, The Netherlands

  7. National Institute of Advanced Industrial Science and Technology

    Affiliation as printed

    National Inst. of Advanced Industrial Science and Tech., Tsukuba, Ibaraki, Japan

  8. Karlsruhe Institute of Technology · United States Department of Energy · Ames National Laboratory

    Affiliation as printed

    Ames Laboratory, U.S. Department of Energy, Ames, USA

    Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany

  9. United States Department of Energy · Iowa State University · Ames National Laboratory

    Affiliation as printed

    Ames Laboratory, U.S. Department of Energy, Ames, USA

    Department of Physics, Iowa State University, Ames, USA

  10. Kazan Federal University · Ruhr University Bochum

    Affiliation as printed

    Institut für Theoretische Physik, Ruhr-Universität Bochum, Bochum, Germany

    Institute of Physics, Kazan Federal University, Kazan, Russian Federation

  11. J. C. Davis corresponding

    Cornell University · University College Cork · University of Oxford · Max Planck Institute for Chemical Physics of Solids

    Affiliation as printed

    Clarendon Laboratory, University of Oxford, Oxford, UK

    Department of Physics, Cornell University, Ithaca, USA

    Department of Physics, University College Cork, Cork, Ireland

    Max-Planck Institute for Chemical Physics of Solids, Dresden, Germany

  12. University of Florida

    Affiliation as printed

    Department of Physics, University of Florida, Gainesville, USA

  13. Cornell University

    Affiliation as printed

    Advanced Development Center, ASML, Wilton, USA

    Department of Physics, Cornell University, Ithaca, USA

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References 45