Nonsymmorphic Weyl superconductivity in UPt3 based on E2u representation

Abstract

We show that a heavy fermion superconductor UPt3 is a topological Weyl superconductor with tunable Weyl nodes. Adopting a generic order parameter in the E2u representation allowed by nonsymmorphic crystal symmetry, we clarify unusual gap structure and associated topological properties. The pair creation, pair annihilation, and coalescence of Weyl nodes are demonstrated in the time-reversal symmetry broken B-phase. At most 98 point nodes compatible with Blount's theorem give rise to line-node-like behaviors in low-energy excitations, consistent with experimental results. We also show an arc node protected by the nonsymmorphic crystal symmetry on the Brillouin zone face, which is a counterexample of Blount's theorem.

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