{"paper":{"title":"Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A 1D model with unconventional magnetic order and Ising spin-orbit coupling supports topological superconductivity in BCS and FFLO states along with a field-free superconducting diode effect.","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.mes-hall","authors_text":"Amartya Pal, Arijit Saha, Debashish Mondal, Tanay Nag","submitted_at":"2025-12-01T04:20:12Z","abstract_excerpt":"We propose a theoretical framework in which a one-dimensional (1D) tight-binding model incorporating unconventional magnetic order together with Rashba and Ising spin-orbit couplings are considered to realize two key phenomena in condensed matter systems: topological superconductivity and the superconducting diode effect (SDE). We first elucidate the underlying band topology of the normal-state Hamiltonian and subsequently introduce an on-site attractive Hubbard interaction. Performing a a self-consistent mean-field analysis, we establish superconducting order parameters in both the convention"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Both the conventional BCS and finite-momentum FFLO pairing states can support topological superconductivity, characterized by a nontrivial winding number, and lead to the emergence of four zero-energy Majorana modes localized at the ends of the 1D chain. The FFLO state further gives rise to an intrinsic field-free SDE, manifested as a nonreciprocal supercurrent and quantified by the diode efficiency η ∼ 65%.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The self-consistent mean-field treatment of the attractive Hubbard interaction remains valid and captures the topological properties and diode efficiency without significant corrections from fluctuations or beyond-mean-field effects.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A 1D model with unconventional magnetism plus Rashba and Ising SOC supports topological superconductivity with four Majorana end modes in both BCS and FFLO channels and yields a field-free SDE with diode efficiency around 65%.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A 1D model with unconventional magnetic order and Ising spin-orbit coupling supports topological superconductivity in BCS and FFLO states along with a field-free superconducting diode effect.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"e7a9032c5ba305ba03844ab83f54fde2d72e1ec4329a4a6e5af0b8479cc350fb"},"source":{"id":"2512.01266","kind":"arxiv","version":2},"verdict":{"id":"df2b2aff-386f-4c04-9a58-0f88d7f67035","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T03:37:44.026598Z","strongest_claim":"Both the conventional BCS and finite-momentum FFLO pairing states can support topological superconductivity, characterized by a nontrivial winding number, and lead to the emergence of four zero-energy Majorana modes localized at the ends of the 1D chain. The FFLO state further gives rise to an intrinsic field-free SDE, manifested as a nonreciprocal supercurrent and quantified by the diode efficiency η ∼ 65%.","one_line_summary":"A 1D model with unconventional magnetism plus Rashba and Ising SOC supports topological superconductivity with four Majorana end modes in both BCS and FFLO channels and yields a field-free SDE with diode efficiency around 65%.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The self-consistent mean-field treatment of the attractive Hubbard interaction remains valid and captures the topological properties and diode efficiency without significant corrections from fluctuations or beyond-mean-field effects.","pith_extraction_headline":"A 1D model with unconventional magnetic order and Ising spin-orbit coupling supports topological superconductivity in BCS and FFLO states along with a field-free superconducting diode effect."},"references":{"count":110,"sample":[{"doi":"","year":null,"title":"+µ .(6) We introduce the chemical potentialµto tune the Fermi energy of the normal state of the system. Here, H(k+ q","work_id":"9d5cfe7a-94d4-458e-a0f7-0fe8e95d8bea","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"is governed by the normal state Hamilto- nian as mentioned in Eq. (1). The condensation en- ergy density for the superconducting state is defined as, Ω(q,∆) =F(q,∆)−F(q,0) withF(q,∆) is the free en- e","work_id":"649d2423-9ed1-4913-abef-ee9e0ff3f467","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"Hence, ∆ q 0 is dependent on the value ofq","work_id":"4dc5e17c-972f-465c-be3e-6bda84877c3b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2001,"title":"Unpaired Majorana fermions in quantum wires,","work_id":"f87b84d9-bb4d-4e64-bc04-64fed6ac8d23","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2012,"title":"New directions in the pursuit of Majorana fermions in solid state systems,","work_id":"9bd4ac89-3be5-418c-a026-2df2cb0bded3","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":110,"snapshot_sha256":"3380d799faa34fd5a151d27ccb6a19aa98c29129bfe1dc5e48b40e97dfee13bd","internal_anchors":1},"formal_canon":{"evidence_count":1,"snapshot_sha256":"8b350da0737e8532fac81a05cb031b133c47f700a26c1b58733440b7d4bda674"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}