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

• URL: http://arxiv.org/abs/2509.03387v1
• Date: Wed, 03 Sep 2025 15:05:11 GMT
• Title: Topology meets superconductivity in a one-dimensional $t-J$ model of magnetic atoms
• Authors: Leonardo Bellinato Giacomelli, Thomas Bland, Louis Lafforgue, Francesca Ferlaino, Manfred J. Mark, Luca Barbiero,
• Abstract summary: We derive a realistic and flexible setup based on ultracold magnetic lanthanide atoms trapped in a one-dimensional optical lattice.<n>Through combined analytical and numerical analysis, we uncover a variety of many-body quantum phases$-$including superconducting and topological states.<n>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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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