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    Visualizing Higher-Fold Topology in Chiral Crystals

    Tyler A. Cochran1, Ilya Belopolski1, Kaustuv Manna2,3, Mohammad Yahyavi4,5, Yiyuan Liu6, Daniel S. Sanchez1, Zi-Jia Cheng1, Xian P. Yang1, Daniel Multer1 et al.

    Jia-Xin Yin1, Horst Borrmann2, Alla Chikina7, Jonas A. Krieger7,8, Jaime Sánchez-Barriga9,10, Patrick Le Fèvre11, François Bertran11, Vladimir N. Strocov7, Jonathan D. Denlinger12, Tay-Rong Chang4, Shuang Jia5, Claudia Felser2, Hsin Lin13, Guoqing Chang5,†, and M. Zahid Hasan1,14,15,*

    • 1Laboratory for Topological Quantum Matter and Advanced Spectroscopy (B7), Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
    • 2Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
    • 3Department of Physics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
    • 4Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan
    • 5Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link 637371, Singapore
    • 6International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
    • 7Swiss Light Source, Paul Scherrer Institute, 5232 Villigen, Switzerland
    • 8Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, 5232 Villigen, Switzerland
    • 9Helmholtz-Zentrum Berlin für Materialien und Energie, Elektronenspeicherring BESSY II, Albert-Einstein Strasse 15, 12489 Berlin, Germany
    • 10IMDEA Nanoscience, C/ Faraday 9, Campus de Cantoblanco, 28049 Madrid, Spain
    • 11SOLEIL Synchrotron, L’Orme des Merisiers, Départementale 128, F-91190 Saint-Aubin, France
    • 12Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
    • 13Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
    • 14Princeton Institute for Science and Technology of Materials, Princeton University, Princeton, New Jersey 08544, USA
    • 15Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

    • *Corresponding author. mzhasan@princeton.edu
    • †Corresponding author. guoqing.chang@ntu.edu.sg

    Phys. Rev. Lett. 130, 066402 – Published 8 February, 2023

    DOI: https://doi.org/10.1103/PhysRevLett.130.066402

    Abstract

    Novel topological phases of matter are fruitful platforms for the discovery of unconventional electromagnetic phenomena. Higher-fold topology is one example, where the low-energy description goes beyond standard model analogs. Despite intensive experimental studies, conclusive evidence remains elusive for the multigap topological nature of higher-fold chiral fermions. In this Letter, we leverage a combination of fine-tuned chemical engineering and photoemission spectroscopy with photon energy contrast to discover the higher-fold topology of a chiral crystal. We identify all bulk branches of a higher-fold chiral fermion for the first time, critically important for allowing us to explore unique Fermi arc surface states in multiple interband gaps, which exhibit an emergent ladder structure. Through designer chemical gating of the samples in combination with our measurements, we uncover an unprecedented multigap bulk boundary correspondence. Our demonstration of multigap electronic topology will propel future research on unconventional topological responses.

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