Multiple Pairs of Propagating Majorana Modes in the Votex Line of Superconducting Quadratic Dirac Semimetals

ORAL

Abstract

We study the vortex bound states in a class of three dimensional (3D) time reversal invariant quadratic Dirac semimetals. Assuming intrinsic s-wave superconductivity, we find that multiple Majorana modes can be bound to the vortex line for certain range of doping level. Specifically, due to the quadratic Dirac points in the band structures, quasi-1D Majorana modes carrying angular momentum ±1 and ±2 can propagate along the vortex line; for quadratic Dirac semimetals with nontrival Z2 topological character, additional 0D Majorana zero modes carrying angular momentum 0 can be bound at the end of the vortex line. Together with our work in linear Dirac semimetals (Phys. Rev. Lett. 123, 027003), we establish a complete correspondence between the topological properties of the normal state band structures and the vortex bound states in the s-wave superconducting state.

Presenters

  • Shengshan Qin

    • Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences

Authors

  • Lun-Hui Hu

    • department of physics, University of California, San Diego
    • University of California, San Diego

  • Shengshan Qin

    • Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences

  • Chen Fang

    • Chinese academy of sciences
    • Institute of Physics, Chinese Academy of Sciences/Beijing National Laboratory for Condensed Matter Physics, Beijing, China
    • Chinese Academy of Sciences,Institute of Physics
    • Institute of Physics, Chinese Academy of Science
    • Beijing National Research Center for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences

  • Jiangping Hu

    • Chinese Academy of Sciences,Institute of Physics
    • Institute of Physics, Chinese Academy of Sciences
    • Beijing National Laboratory for Condensed Matter Physics, Chinese Academy of Sciences
    • Institute of Physics, Chinese Academy of Science,Beijing 100190, China
    • Beijing National Research Center for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences
    • Institute of Physics, Chinese Academy of Science

  • Fu-Chun Zhang

    • Kavli Institute of Theoretical Sciences, University of Chinese Academy of Sciences
    • University of Hong Kong
    • Kavli Institute of Theoretical Sciences, University of the Chinese Academy of Sciences
    • Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences