{"paper":{"title":"Larkin-Ovchinnikov-Fulde-Ferrell state of spin polarized atomic Fermi superfluid on a spherical surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Spin-polarized Fermi superfluids on a spherical surface support LOFF states with multiple nodes that become more stable at higher polarization but only near the uniform phase boundary.","cross_cats":["cond-mat.supr-con","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Chih-Chun Chien, Yan He","submitted_at":"2026-05-14T15:48:19Z","abstract_excerpt":"By implementing the Bogoliubov-de Gennes (BdG) formalism of population-imbalanced atomic Fermi gases with pairing interactions in a thin spherical shell, we characterize the Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) state in such a compact geometry. We first construct a phase diagram showing where uniform solutions of spin-polarized Fermi superfluid from the BdG equation cease to exist due to the vanishing order parameter. Near the boundary, various LOFF states with spatially modulating order parameters and density profiles can survive as convergent solutions to the BdG equation. When both unifo"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the LOFF states with multiple nodes in the order parameter become more stable at higher spin polarization. However, the LOFF state only survives close to the phase boundary where the uniform solutions vanish, indicating fragility of the LOFF state on a spherical surface.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The thin spherical shell approximation together with the mean-field BdG treatment remains quantitatively accurate without significant corrections from radial thickness, quantum fluctuations, or finite-temperature effects.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"LOFF states with multiple nodes in the order parameter are energetically favorable over uniform solutions near the phase boundary in spin-polarized atomic Fermi superfluids on a spherical surface.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Spin-polarized Fermi superfluids on a spherical surface support LOFF states with multiple nodes that become more stable at higher polarization but only near the uniform phase boundary.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"46da827402044e353b12c5cbc47f73065f1cef5c668916229e2136fc8ed209ef"},"source":{"id":"2605.14985","kind":"arxiv","version":1},"verdict":{"id":"3c80169a-3d36-4166-9d16-c2b87be65fb2","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:55:57.260873Z","strongest_claim":"the LOFF states with multiple nodes in the order parameter become more stable at higher spin polarization. However, the LOFF state only survives close to the phase boundary where the uniform solutions vanish, indicating fragility of the LOFF state on a spherical surface.","one_line_summary":"LOFF states with multiple nodes in the order parameter are energetically favorable over uniform solutions near the phase boundary in spin-polarized atomic Fermi superfluids on a spherical surface.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The thin spherical shell approximation together with the mean-field BdG treatment remains quantitatively accurate without significant corrections from radial thickness, quantum fluctuations, or finite-temperature effects.","pith_extraction_headline":"Spin-polarized Fermi superfluids on a spherical surface support LOFF states with multiple nodes that become more stable at higher polarization but only near the uniform phase boundary."},"references":{"count":71,"sample":[{"doi":"","year":null,"title":"Within the uniform-solution regime Overlapping with the regime where uniform solutions can be found but near the phase boundary, the LOFF solutions can be obtained from the BdG equation. Fig. 3 shows ","work_id":"d1d497c8-c170-4753-8a12-a44f3fb20951","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"tically to accommodate the polarization uniformly while the LOFF state allows modulating population imbalance in real space","work_id":"7de252f0-c7f1-47b3-a4db-9e608d6cc8db","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"2, the default solutions are phase separa- tion between BCS superfluid and polarized normal phase similar to 3D population imbalanced Fermi gases [54, 55]","work_id":"f01191ee-7f6a-46bb-bfc8-e4cea725ac24","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1964,"title":"A. I. Larkin and Y. N. Ovchinnikov, Nonuniform state of superconductors, Zh. Eksperim. Teor. Fiz. 47, (1964)","work_id":"3118651f-c52d-4e49-9488-55e51119fce9","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1964,"title":"P. Fulde and R. A. Ferrell, Superconductivity in a strong spin-exchange field, Phys. Rev. 135, A550 (1964)","work_id":"1082ebfe-8526-4ef8-8ba1-b5fa41baa82f","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":71,"snapshot_sha256":"71058000245346de058ffcbace13bf49548fed38525774d1de905ba35baf36fa","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"47d6d6014da1e8894ab8cc91eba143617a56b7363ee70961051e41acc51d8594"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}