Octupolar Weyl superconductivity from electron-electron interaction

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ID: 315706
2026
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Abstract
Abstract Weyl topological superconductivity (TSC) is an exotic superconducting state featuring topologically protected point gap nodes and Bogoliubov-Majorana Fermi arcs. However, its realization remains rare, often requiring complicated band structures or fine-tuned spin-orbit coupling. Here we propose a universal and robust mechanism to generate Weyl TSC relying solely on 3D cubic lattice symmetry under repulsive electron-electron interaction. Standard group theory combined with Ginzburg-Landau analysis reveals that generalizing the $d_{x^2-y^2}$-wave pairing in the 2D square lattice, typically driven by repulsive interactions, to a 3D cubic lattice naturally yields a chiral $d_{3z^2-r^2}+ i d_{x^2-y^2}$ state. Unlike other time-reversal symmetry breaking pairings such as px + ipy (e.g., 3He-A) and $d_{x^2-y^2}+id_{xy}$ under planar hexagonal symmetry, Cooper pairs with such a symmetry do not possess a net orbital angular momentum (OAM). Instead, they develop an octupolar Oxyz component of OAM, which results in eight nodal points along the body diagonal directions, exhibiting an alternating distribution of monopole charges ±1. This naturally constitutes an octupolar Weyl TSC with non-trivial topology. Employing the single-orbital cubic Hubbard model as a prototype, we utilize a weak-coupling approach within the random-phase approximation, along with a strong-coupling analysis based on slave-boson mean-field theory and variational Monte Carlo simulations. Our numerical results consistently confirm the emergence of the d + id Weyl TSC, highlighting the universality of this interaction-driven symmetry-protected mechanism. This finding simplifies the search for Weyl TSC, suggesting potential realization in cubic-lattice correlated superconductors and in cold-atom quantum simulation of the 3D Hubbard model upon suppression of its Néel antiferromagnetic phase.
Reference Key
openalex_W4404402346 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Zhiming Pan, Lu Chen, Fan Yang, Congjun Wu
Journal national science review
Year 2026
DOI
10.1093/nsr/nwag326
URL
https://doi.org/10.1093/nsr/nwag326
Keywords Keywords not found

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