Quadrupole Quantized Hinge Arcs in Crystalline Dirac Semimetals

ORAL

Abstract

Topological semimetals, from graphene in 2D to Weyl semimetals in 3D, have been shown to display topological surface states on boundaries with one fewer dimension than that of the bulk. In this talk, we present the discovery of the first 3D semimetal with topological surface states in two fewer dimensions than its bulk, such that it displays arcs on its 1D hinges connecting the projections of its bulk 3D Dirac points. Using the recently developed multipole generalization of topological electric moments, we use nested Wilson loops to show that 2D slices of this semimetal can be modeled using hybridized spinful s and dx2-y2 orbitals in a magnetic layer group, and are topologically equivalent to recently presented spinless, flux-based models of insulators with quantized quadrupole moments. We show that these "hinge-arc" semimetals can be realized with or without time-reversal symmetry, and present ab initio calculations demonstrating the presence of topological hinge arcs in previously synthesized crystals.

*Department of Energy (No. DE-SC0016239), the Simons Foundation (Simons Investigator Grant No. ONR-N00014-14-1-0330), the Packard Foundation, and the Schmidt Fund for Innovative Research

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Presenters

  • Benjamin Wieder

    • Princeton Univ
    • Department of Physics, Princeton University

Authors

  • Benjamin Wieder

    • Princeton Univ
    • Department of Physics, Princeton University

  • Jennifer Cano

    • Princeton Center for Theoretical Science, Princeton University
    • Princeton Center for Theoretical Science
    • Physics, Princeton University
    • Princeton University
    • Center for Theoretical Science, Princeton University
    • Physics, Princeton

  • Barry Bradlyn

    • Princeton Center for Theoretical Science, Princeton University
    • Princeton Center for Theoretical Science
    • Princeton University
    • Center for Theoretical Science, Princeton University
    • Physics, Princeton

  • Zhijun Wang

    • Department of Physics, Princeton University

  • Xi Dai

    • Institute of Physics, Chinese Academy of Sciences
    • Physics Department, Hong Kong University of Science and Technology
    • Insititute of Physics, Chinese Academy of Scienes (CAS)

  • Leslie Schoop

    • Department of Chemistry, Princeton University
    • Max Planck Institute for Solid State Research
    • Chemistry, Princeton University
    • Max Planck Institute

  • Andrei Bernevig

    • Physics Department, Princeton University
    • Department of Physics, Princeton University
    • Physics Department, Princeton Univ
    • Physics, Princeton University
    • Princeton University
    • Physics, Princeton