ArticleNational science review2026
Octupolar Weyl superconductivity from electron-electron interaction.
Article in National science review, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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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 [Formula: see text]-wave pairing in the 2D square lattice, typically driven by repulsive interactions, to a 3 dimensional (3D) cubic lattice naturally yields a chiral [Formula: see text] state. Unlike other time-reversal symmetry breaking pairings such as [Formula: see text] (for example, [Formula: see text]He-A) and [Formula: see text] under planar hexagonal symmetry, Cooper pairs with such a symmetry do not possess a net orbital angular momentum (OAM). Instead, they develop an octupolar [Formula: see text] component of OAM, which results in eight nodal points along the body diagonal directions, exhibiting an alternating distribution of monopole charges [Formula: see text]. 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 [Formula: see text] 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.
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