Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals

Abstract

We study the vortex bound states in three dimensional (3D) superconducting Dirac semimetals with time reversal symmetry. Assuming two Dirac points on the kz-axis and bulk s-wave superconductivity, with a quantum vortex line parallel to the z-direction, we find that the superconducting vortex line has a robust quasi-1D nodal phase. The nodal phase stems from the symmetry protected Dirac points in the normal state bands, and it can be characterized by a topological index (ν; n) at kz = 0 and kz = π, where νis the Z2 topological invariant for a 0D class-D system and n is the Z topological invariant for a 0D class-A system according to the Altland- Zirnbauer classification. Based on the topological index, we find that vortex end Majorana zero mode can coexist with the quasi-1D nodal phase in certain kinds of Dirac semimetals. The influence of the symmetry breaking perturbations on the quasi-1D nodal phase is also analyzed. Finally, we discuss the possible material realization of such nodal vortex line state.

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• Emergent vortex Majorana zero mode in iron-based superconductors
• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• Topological Superconducting Vortex From Trivial Electronic Bands
• Observation of surface superconductivity in a three-dimensional Dirac material
• Unveiling spin-orbital angular momentum locking in photonic Dirac vortex cavities
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Angular momentum of vortex-core Majorana zero modes
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Majorana vortex phases in time-reversal invariant higher-order topological insulators and topologically trivial insulators
• Evolution of the intertwining correlated topological phases in iron-based superconductor Fe(Te,Se)