Dirac and Weyl Superconductors in Three Dimensions

ORAL

Abstract

Inspired by the recent discovery of Dirac and Weyl semimetals, we introduce the concept of 3D Dirac (Weyl) superconductors (SC), which have protected bulk four(two)-fold nodal points and surface Andreev arcs at zero energy. We provide a sufficient criterion for realizing them in centrosymmetric SCs with odd-parity pairing and mirror symmetry. Pairs of Dirac nodes appear in a mirror-invariant plane when the mirror winding number is nontrivial. Breaking mirror symmetry may gap Dirac nodes producing a topological SC. Each Dirac node evolves to a nodal ring when inversion-gauge symmetry is broken, whereas it splits into a pair of Weyl nodes only when time-reversal symmetry is broken. Our physics might be realized in the nodal phase of Cu-doped Bi2Se3 or UPt3.

*Phys. Rev. Lett. 113, 046401 (2014).

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Authors

  • Shengyuan Yang

    • Singapore

  • Hui Pan

    • Beihang University

  • Fan Zhang

    • The University of Texas at Dallas
    • University of Texas at Dallas
    • University of Texas, Dallas
    • Department of Physics, The University of Texas at Dallas