Topology meets superconductivity in a one-dimensional $t-J$ model of magnetic atoms

Abstract:Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible setup based on ultracold magnetic lanthanide atoms trapped in a one-dimensional optical lattice. Leveraging their large magnetic moments, we design a fermionic $t-J$ model with independently tunable hopping, spin-spin couplings, and onsite interaction. Through combined analytical and numerical analysis, we uncover a variety of many-body quantum phases$-$including superconducting and topological states. Crucially, in the regime of attractive onsite interaction we reveal that topology and superconductivity coexist, thus giving rise to an exotic state of matter: a topological triplet superconductor. We also outline a practical protocol to prepare and detect all discovered phases using current experimental techniques. Our results establish an alternative and powerful route for a deeper understanding of strongly interacting fermionic quantum matter.

Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2509.03387 [cond-mat.quant-gas]

(or arXiv:2509.03387v2 [cond-mat.quant-gas] for this version)

https://doi.org/10.48550/arXiv.2509.03387 Focus to learn more arXiv-issued DOI via DataCite

Nat. Commun. (2026)

https://doi.org/10.1038/s41467-026-71248-8 Focus to learn more DOI(s) linking to related resources

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