Topologically stable gapless phases in nonsymmorphic superconductors

Abstract

We study topological stability of nodes in nonsymmorphic superconductors (SCs). In particular, we demonstrate that line nodes in nonsymmirphic odd-parity SCs are protected by the interplay between topology and nonsymmorphic symmetry. As an example, it is shown that the $E_{2u}$-superconducting state of UPt${}_3$ hosts the topologically stable line node at the Brillouin zone face. Our theory indicates that the existence of spin-orbit coupling is essential for protecting such a line node, complementing the Norman's group theory argument. Developing the topological arguments, we also argue generalization to point nodes and to other symmetry cases beyond the group theory arguments.

12 pages, 3 figures

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Cited by in corpus (12)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
• Exploring Topological Superconductivity in Topological Materials
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
• Möbius topological superconductivity in UPt${}_3$
• Anisotropic magnetic responses of topological crystalline superconductors
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Study of the superconducting ground state of topological superconducting candidates Ti${}_3$X (X = Ir, Sb)
• Nodal lines and nodal loops in non-symmorphic odd-parity superconductors
• S-wave Superconductivity in the Dirac Line-nodal Material CaSb2
• Surface state tunneling signatures in two-component superconductor UPt${}_3$
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space