{"id":"cd57d4f1-c36d-4582-a856-2e6d62ca7330","arxiv_id":"2606.09797","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"Proximity to an antiferromagnet induces a phase-modulated superconducting order parameter with atomic-scale loop currents in Ising superconductors that have at least three magnetic sublattices and finite spin-orbit coupling.","lead":"The paper predicts a new superconducting state called proximity-induced orbital antiferromagnetism in Ising superconductor/antiferromagnet heterostructures. This state features atomic-scale loop currents locked to the magnetic lattice and could be detected via STM in materials like NbSe2/MnPS3.","discovery_kind":"new_application","skeptic_critique":{"model":"grok-4.3","headline":"No significant objection identified","rationale":"The reader's weakest assumption correctly isolates the three-sublattice plus SOC condition and the robustness of the proximity-induced modulation in the concrete heterostructure. Because the manuscript asserts that its calculations demonstrate exactly this robustness and no contradictory or underspecified step appears, the UNVERDICTED verdict does not require adjustment.","tokens_in":1682,"tokens_out":278,"duration_ms":24550,"concrete_test":"Recompute the BdG spectrum and free-energy comparison on the same lattice using the first-principles exchange-field values but with the SOC term set to zero; if the phase modulation and loop-current pattern disappear, the stated necessity of finite SOC is confirmed and the claim holds; if they persist, the SOC requirement is not load-bearing.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim rests on first-principles plus BdG calculations for the NbSe2/MnPS3 interface that are stated to produce robust atomic-scale phase modulation locked to the magnetic lattice when three nonequivalent sublattices and finite Ising SOC are present. The argument explicitly flags the sublattice and SOC requirements and asserts uniqueness versus FFLO/helical states across the explored range; no internal inconsistency, hidden assumption in the BdG construction, or unsupported step is visible from the given description.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The paper predicts a new superconducting state, proximity-induced orbital antiferromagnetism, in superconductor/antiferromagnet heterostructures with Ising spin-orbit coupling. In this state the superconducting order parameter develops a periodic phase modulation locked to the magnetic lattice, producing atomic-scale loop currents with opposite orbital moments on neighboring unit cells. Emergence requires at least three nonequivalent magnetic sublattices per unit cell and finite SOC. For the concrete NbSe2/MnPS3 example, first-principles calculations combined with Bogoliubov-de Gennes solutions are stated to demonstrate that the proximity-induced exchange field produces robust phase modulation, distinct from FFLO and helical states by being atomic-scale, current-carrying, and uniquely stable across the explored parameter range, with a characteristic finite-energy LDOS signature accessible to STM.","tokens_in":1797,"tokens_out":586,"duration_ms":23854,"significance":"If the numerical demonstration holds, the work identifies a qualitatively new superconducting phase whose atomic-scale current-carrying character and orbital-moment alternation are not shared by conventional FFLO or helical states. The explicit conditions (three sublattices plus finite Ising SOC) and the concrete material example together with an STM falsifiable signature constitute a clear, testable prediction. The use of standard first-principles plus BdG methods to uncover the state, rather than fitting to an ad-hoc order parameter, is a methodological strength.","major_comments":[{"comment":"The abstract asserts that the phase modulation remains uniquely stable over the full parameter range explored, yet the quantitative dependence on exchange-field magnitude and SOC strength is not shown; without an explicit scan or stability diagram (e.g., in the results section on BdG solutions) it is unclear whether the uniqueness claim is load-bearing or holds only for the specific NbSe2/MnPS3 parameters chosen.","section":"BdG results section"},{"comment":"The requirement of at least three nonequivalent magnetic sublattices is stated as necessary, but the manuscript does not demonstrate that two-sublattice AF order (common in many materials) fails to produce the orbital AF state; a comparative BdG calculation for a two-sublattice case would be needed to establish this as a load-bearing condition rather than an assumption.","section":"Methods and model section"}],"minor_comments":[{"comment":"Notation for the superconducting order parameter phase modulation should be defined explicitly (e.g., Δ(r) = |Δ| exp(i \theta(r))) before the first use in the results.","section":null},{"comment":"A figure showing the real-space current pattern and orbital-moment alternation on the lattice would make the central physical picture clearer.","section":null}],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the careful reading of our manuscript and the positive assessment of its significance. We address each major comment below and will revise the manuscript to incorporate the suggested additions.","responses":[{"response":"We agree that an explicit parameter scan would make the stability claim more robust and load-bearing. In the revised manuscript we will add a stability diagram in the BdG results section that maps the emergence and persistence of the phase-modulated state as a function of exchange-field strength and SOC magnitude, confirming that the orbital antiferromagnetic state remains stable across the explored range while conventional FFLO and helical solutions do not.","revision_made":"yes","referee_comment":"[BdG results section] The abstract asserts that the phase modulation remains uniquely stable over the full parameter range explored, yet the quantitative dependence on exchange-field magnitude and SOC strength is not shown; without an explicit scan or stability diagram (e.g., in the results section on BdG solutions) it is unclear whether the uniqueness claim is load-bearing or holds only for the specific NbSe2/MnPS3 parameters chosen."},{"response":"We acknowledge that a direct numerical comparison is required to establish the three-sublattice condition as necessary rather than assumed. In the revised manuscript we will include a comparative BdG calculation for a model two-sublattice antiferromagnet (with otherwise identical parameters) demonstrating that the atomic-scale phase modulation and orbital antiferromagnetism do not appear in that geometry.","revision_made":"yes","referee_comment":"[Methods and model section] The requirement of at least three nonequivalent magnetic sublattices is stated as necessary, but the manuscript does not demonstrate that two-sublattice AF order (common in many materials) fails to produce the orbital AF state; a comparative BdG calculation for a two-sublattice case would be needed to establish this as a load-bearing condition rather than an assumption."}],"tokens_in":1417,"tokens_out":417,"duration_ms":13865,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main claim is a proximity-induced orbital antiferromagnetism state where the superconducting order parameter picks up a periodic phase modulation matching the magnetic lattice, producing atomic-scale loop currents with opposite orbital moments on neighboring cells. This needs three nonequivalent sublattices plus finite Ising SOC, and the authors use NbSe2/MnPS3 as the example.\n\nThey combine first-principles work to get the proximity exchange field with Bogoliubov-de Gennes calculations to show the modulation appears and stays stable over the parameter range. The paper spells out why this differs from FFLO or helical states: the gradient is atomic-scale, the state carries current, and it does not switch to other phases. The numerics follow standard methods for the field and avoid obvious circularity.\n\nThe main limitation is the strict requirement for three sublattices, which restricts the materials this applies to. The abstract gives no numbers on how sensitive the phase modulation is to exchange strength or SOC magnitude, so robustness is hard to judge without the full plots. The LDOS dips are flagged as an STM signature, but their distinctiveness from other modulated states would need clearer comparison.\n\nThis is aimed at people working on 2D heterostructures and proximity superconductivity. Readers interested in new modulated states or Ising systems would get concrete ideas from the calculations. The work is grounded enough in explicit numerics to merit a serious referee even if the distinction from prior states needs checking against the full literature.\n\nI would send it to peer review.","headline":"The paper predicts a new atomic-scale phase-modulated superconducting state locked to the AF lattice in Ising SC/AF heterostructures, shown via DFT plus BdG on NbSe2/MnPS3.","tokens_in":2302,"tokens_out":391,"would_cite":false,"duration_ms":15300,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"Proximity to an antiferromagnet induces orbital antiferromagnetism in Ising superconductors when the magnetic unit cell contains at least three sublattices.","keywords":["orbital antiferromagnetism","Ising superconductors","proximity effect","heterostructures","phase modulation","loop currents","Bogoliubov-de Gennes","local density of states"],"falsifier":"STM spectra on an NbSe2/MnPS3 heterostructure that show no finite-energy dips in the local density of states would indicate that the predicted phase modulation and orbital antiferromagnetism do not form.","tokens_in":2608,"feed_emoji":"🧲","tokens_out":749,"duration_ms":24170,"temperature":0.7,"pith_summary":"The paper sets out to establish that a new superconducting state forms in heterostructures of Ising superconductors and antiferromagnets. In this state the order parameter develops a periodic phase modulation locked to the antiferromagnetic lattice, which in turn creates atomic-scale loop currents carrying opposite orbital moments on neighboring cells. A sympathetic reader would care because the resulting state is predicted to carry net current, to remain stable across the entire parameter range, and to differ from both FFLO and helical phases while producing clear signatures in the local density of states.","feed_headline":"Atomic-scale loop currents form in Ising superconductor heterostructures","feed_subtitle":"Proximity to a multi-sublattice antiferromagnet locks a periodic phase modulation into the order parameter, producing alternating orbital mo","key_machinery":"Periodic phase modulation of the superconducting order parameter locked to the antiferromagnetic lattice, which generates atomic-scale loop currents with alternating orbital moments.","core_discovery":"We predict a fundamentally new superconducting state in superconductor/antiferromagnet heterostructures with Ising spin-orbit coupling: proximity-induced orbital antiferromagnetism. In this state, the order parameter acquires a periodic phase modulation locked to the magnetic lattice, generating atomic-scale loop currents with opposite orbital moments on neighboring unit cells. Its emergence requires at least three nonequivalent magnetic sublattices per unit cell and finite spin-orbit coupling. Using NbSe2/MnPS3 as a concrete example, first-principles and Bogoliubov-de Gennes calculations demonstrate that the proximity-induced exchange field leads to robust phase modulation. Unlike FFLO and","pith_inferences":["Heterostructures built from other antiferromagnets that also possess three or more magnetic sublattices may host analogous modulated states.","The atomic-scale orbital moments could respond to external magnetic fields or currents, offering a route to control the superconducting phase.","STM experiments on additional Ising-superconductor interfaces with complex antiferromagnetic order would provide a direct test of the sublattice requirement."],"forward_implications":["Atomic-scale loop currents appear with opposite orbital moments on neighboring unit cells.","The modulated state carries net current because of its atomic-scale phase gradient.","The state remains stable over the full parameter range where FFLO and helical states do not.","Finite-energy dips appear in the local density of states and can be detected by STM."],"fun_headline_variants":["Proximity induces orbital antiferromagnetism in Ising superconductors","Atomic loop currents via proximity in Ising superconductor heterostructures","Phase modulation generates atomic loop currents in Ising systems","Orbital antiferromagnetism locked by magnetic lattice in Ising superconductors"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The proximity-induced exchange field produces robust phase modulation only when the antiferromagnet has at least three nonequivalent magnetic sublattices per unit cell together with finite spin-orbit coupling.","fun_headline_variants_meta":{"raw":{"variants":["Proximity induces orbital antiferromagnetism in Ising superconductors","Atomic loop currents via proximity in Ising superconductor heterostructures","Phase modulation generates atomic loop currents in Ising systems","Orbital antiferromagnetism locked by magnetic lattice in Ising superconductors"]},"model":"grok-4.3","cost_usd":0.007776,"raw_usage":{"total_tokens":3544,"prompt_tokens":652,"num_sources_used":0,"completion_tokens":63,"cost_in_usd_ticks":77762000,"prompt_tokens_details":{"text_tokens":652,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":2829,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":652,"tokens_out":63,"duration_ms":15814,"temperature":1.0,"reasoning_tokens":2829,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-27T14:36:51.962885+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"STM spectra on an NbSe2/MnPS3 heterostructure that show no finite-energy dips in the local density of states would indicate that the predicted phase modulation and orbital antiferromagnetism do not form.","supporting_citations":[],"review_version":1}