Dirac and Weyl Superconductors in Three Dimensions

Date

2014-07-21

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Publisher

American Physical Society

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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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Keywords

Superconductors, Dirac nodes, Weyl nodes, Chiral symmetry (Nuclear physics)

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"This work was supported by SUTD-SRG-EPD-2013062, NSFC Grant No. 11174022, DARPA Grant No. SPAWAR N66001-11-1-4110, and NSF Grant No. NSF-PHY11-25915 (KITP)."

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©2014 American Physical Society

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