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

2019/01/31 by Shengshan Qin, Lunhui Hu, Congcong Le +4 · 2 citations
Physics and Astronomy · #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.123.027003

published as Phys. Rev. Lett. 123, 027003 (2019)

arxiv created 2019/02/01 · arxiv updated 2019/07/12

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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