Dirac and Weyl Superconductors in Three Dimensions

Shengyuan A. Yang, Hui Pan, and Fan Zhang
Phys. Rev. Lett. 113, 046401 – Published 21 July 2014

Abstract

We introduce the concept of three-dimensional Dirac (Weyl) superconductors (SC), which have protected bulk fourfold (twofold) nodal points and surface Majorana 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 when, and only when, time-reversal symmetry is broken.

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  • Received 13 March 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.046401

© 2014 American Physical Society

Authors & Affiliations

Shengyuan A. Yang1, Hui Pan2, and Fan Zhang3,4,5,*

  • 1Engineering Product Development, Singapore University of Technology and Design, Singapore 138682, Singapore
  • 2Department of Physics, Beihang University, Beijing 100191, China
  • 3Department of Physics, University of Texas at Dallas, Richardson, Texas 75080, USA
  • 4Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
  • 5Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA

  • *zhang@utdallas.edu

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Vol. 113, Iss. 4 — 25 July 2014

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