{"id":"4491a6cf-e87b-42c1-a34d-805a8dc11d05","arxiv_id":"2607.11786","paper_version":1,"verdict":"CONDITIONAL","confidence":"LOW","novelty_score":5.5,"correctness_risk":"medium","formal_verification":"none","parameter_count":2,"one_line_summary":"Including DMFT self-energy in the RPA particle-hole bubble reverses the leading pairing instability of pressurized La3Ni2O7 from B2g d_xy to A1g s±.","lead":"A DMFT-renormalized RPA calculation finds that strong correlations reverse the leading pairing channel in pressurized La3Ni2O7 from d_xy to sign-changing s±. Smart generalists should care because the result argues that quasiparticle renormalization, not bare band structure, decides the gap symmetry of a high-pressure nickelate superconductor.","discovery_kind":"new_application","skeptic_critique":{"model":"grok-4.5","headline":"Abstract-only review cannot verify the claimed eigenvalue reversal or the orbital-selective mechanism; the load-bearing numerical evidence is inaccessible.","rationale":"The Reader correctly flags that the abstract alone cannot establish the numerical reversal or the robustness of the single-site two-orbital DMFT approximation. That is precisely the load-bearing soft spot: the entire hierarchy claim rests on inaccessible eigenvalue tables and susceptibility plots. No stronger internal inconsistency can be diagnosed without the full text, so the verdict remains CONDITIONAL with low confidence. The concrete test simply operationalizes the missing verification steps that would settle whether the claimed reversal survives scrutiny.","tokens_in":2244,"tokens_out":550,"duration_ms":4482,"concrete_test":"Once the full text is available, extract the leading eigenvalues λ of the linearized gap equation for bare RPA versus DMFT-renormalized RPA at the same residual U,J (and same filling/pressure). Confirm that λ(A1g) exceeds λ(B2g) only after the G_DMFT insertion, that the gap form factor is sign-changing s±, and that the dual-BSE spin susceptibility remains peaked at finite q and weak near Γ. If any of these fail, or if a modest change in U/J restores B2g dominance, the hierarchy-reversal claim does not hold.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim is that replacing the bare G0G0 bubble by a G_DMFT G_DMFT bubble (same residual Slater-Kanamori vertices) reverses the leading pairing eigenvalue of pressurized La3Ni2O7 from B2g d_xy to A1g s±, with B1g subleading and B2g suppressed, via orbital-selective renormalization of the d3z2-r2 sector. Because only the abstract is available, none of the supporting numbers (eigenvalue spectra, interaction strengths U/J, pocket-pair weights, orbital-resolved susceptibilities, dual-BSE χ(q)) can be inspected. The methodological step is coherent, yet the claim that this single-site two-orbital DMFT self-energy is a sufficiently faithful representation of the quasiparticles that control the true pairing hierarchy remains untested: non-local correlations, full four-orbital DMFT, or frequency structure beyond the static residual vertices could restore the original hierarchy. Without those data the reversal is an assertion rather than a demonstrated result.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.5","summary":"The manuscript addresses the unsettled superconducting gap symmetry of pressurized La3Ni2O7 by combining single-site two-orbital DMFT with a self-energy-renormalized RPA on the four-orbital Wannier Hamiltonian of Xia et al. The central step is to replace the bare particle-hole bubble G0G0 of ordinary RPA by a G_DMFT G_DMFT bubble while retaining the same residual Slater–Kanamori vertices. In bare RPA the leading pairing eigenvalue is reported to lie in the B2g d_xy channel; once the DMFT self-energy is included the hierarchy reverses, with A1g sign-changing s± dominant, B1g d_x2−y2 subleading, and B2g strongly suppressed. The reversal is attributed to orbital-selective renormalization of the d3z2−r2 sector that filters γ-pocket scattering. A dual Bethe–Salpeter spin susceptibility with the local DMFT vertex is presented as an independent two-particle check supporting a finite-momentum magnetic background favorable to s±.","tokens_in":2502,"tokens_out":1157,"duration_ms":28231,"significance":"If the reported eigenvalue reversal and the orbital-selective mechanism survive quantitative scrutiny, the work would resolve a contested issue in bilayer nickelate superconductivity and establish that correlation-renormalized quasiparticles are essential, not secondary, for predicting pairing symmetry. The dual-BSE susceptibility check and pocket-pair decomposition, if robust and reproducible, would constitute useful methodological contributions beyond a single material. The claim is outside the weakest-coupling consensus but is not internally circular: DMFT self-energy and residual RPA vertices are distinct objects. Significance therefore hinges on whether the numerical hierarchy and the controlled character of the two-orbital truncation are actually demonstrated in the full manuscript.","major_comments":[{"comment":"The load-bearing claim is the reversal of the leading pairing eigenvalue from B2g d_xy (bare RPA) to A1g s± (DMFT-renormalized bubble). Only the abstract is available for this review, so the eigenvalue spectra, pocket-pair weights, orbital-resolved susceptibilities, and dual-BSE χ(q) maps cannot be inspected for magnitude, separation of leading/subleading eigenvalues, or convergence. Without those data the reversal remains an assertion rather than a demonstrated result and must be documented with explicit tables and parameter values before the central claim can be accepted.","section":null},{"comment":"The methodological truncation—single-site two-orbital DMFT self-energy extracted from a four-orbital Wannier Hamiltonian and inserted only into the particle-hole bubble of RPA, with static residual Slater–Kanamori vertices—is load-bearing for the claimed hierarchy. Non-local correlations, full four-orbital DMFT, or frequency structure beyond static residual vertices could restore the bare B2g preference. The manuscript must either quantify this sensitivity or provide a controlled argument that the truncation does not reverse the ordering it is used to establish.","section":null},{"comment":"Residual interaction parameters (U, U′, J, J′), double-counting, temperature, and impurity-solver details are free parameters that routinely shift multi-orbital RPA pairing hierarchies. The abstract does not report the values used or the stability of the A1g dominance under reasonable variation. Systematic parameter dependence of the claimed reversal is required for the result to be reproducible and falsifiable.","section":null},{"comment":"The dual-BSE static spin susceptibility is presented as independent two-particle validation that retains broad finite-momentum response and is weak near Γ. Its precise relation to the RPA pairing kernel (same residual vertices? same self-energy dressing? same orbital subspace?) and a quantitative comparison to bare-RPA χ(q) must be made explicit so that the statement that it “strengthens the spin-fluctuation background for s±” can be evaluated rather than taken on trust.","section":null}],"minor_comments":[{"comment":"Abstract wording “correlation-renormalized spin-fluctuation pairing” should be tied, in the full text, to a precise definition of which object is renormalized (bubble only vs. vertices) to avoid conflating DMFT self-energy dressing with a fully renormalized two-particle vertex.","section":null},{"comment":"Notation for residual Slater–Kanamori vertices versus the bare interaction used in the impurity problem should be introduced consistently so that double-counting and residual-U choices are unambiguous.","section":null},{"comment":"If the full manuscript contains eigenvalue tables or orbital-resolved susceptibility figures, axis labels and channel irreps (A1g / B1g / B2g) should be stated in the captions without relying solely on the main text.","section":null}],"recommendation":"uncertain","confidential_remarks":"This report is based solely on the abstract; the full text was not available. I therefore cannot verify the numerical eigenvalue reversal, interaction parameters, or dual-BSE maps that carry the central claim. Recommendation is uncertain pending access to the full manuscript and the supporting data. If the full paper supplies stable eigenvalue tables, documented parameter dependence, and a controlled justification of the two-orbital DMFT truncation, the appropriate recommendation would likely move to major_revision or minor_revision rather than reject—the methodological outline is coherent and not tautological. Scope fit for a cond-mat.supr-con journal appears appropriate."},"author_rebuttal":null,"desk_editor":{"model":"grok-4.5","letter":"The one thing you need to know is that this abstract claims a clean hierarchy flip: bare RPA on the Xia four-orbital model gives leading B2g d_xy, while replacing G0G0 by G_DMFT G_DMFT (same residual Slater-Kanamori vertices) makes A1g s± dominant, B1g subleading, and B2g suppressed. That is a concrete computational result for this material if the numbers hold.\n\nWhat is new is not the toolkit—DMFT+RPA and self-energy-renormalized bubbles are standard—but the demonstration that this particular renormalization reverses the pairing order for pressurized La3Ni2O7, with a clear orbital story: selective d3z2-r2 mass enhancement filters the γ-pocket processes that favor d_xy while leaving inter-pocket scattering that favors s±. They also add a dual-BSE static spin susceptibility as an independent two-particle check that stays broad at finite q and weak near Γ. That is a sensible methodological package and a useful template for other multi-orbital nickelates.\n\nThe soft spot is exactly the one the stress-test flags: we only have the abstract. Eigenvalue spectra, U/J values, pocket weights, orbital-resolved χ, and dual-BSE maps are all inaccessible, so we cannot judge convergence, parameter dependence, or whether the reversal is robust. The weakest assumption is that single-site two-orbital DMFT self-energy inserted only into the bubble is faithful enough; non-local correlations or full four-orbital frequency structure could push the hierarchy back. That is a real caveat, not a manufactured one, but it is the usual limitation of this class of calculation rather than an internal contradiction.\n\nWho it is for: people already working on nickelate pairing symmetry or multi-orbital spin-fluctuation methods. They will get a clear claim and a reproducible protocol once the full text and numbers appear. It deserves a serious referee who can demand the eigenvalue tables, interaction parameters, and robustness checks. I would not desk-reject it; I would send it out and expect revision around the numerical evidence. For now I would not cite it or bring it to reading group until the full paper is readable, but the abstract alone is enough to keep an eye on the arXiv version.","headline":"Abstract-only claim of a DMFT-bubble reversal from B2g to s± in pressurized La3Ni2O7; method is coherent but the load-bearing numbers are invisible.","tokens_in":3114,"tokens_out":607,"would_cite":false,"duration_ms":4807,"reading_group":"no","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":["74.20.Mn","74.25.Jb","74.70.-b","71.27.+a"],"model":"grok-4.5","headline":"Correlation-renormalized spin fluctuations reverse the leading pairing symmetry of pressurized La₃Ni₂O₇ from d_xy to s±.","keywords":["La3Ni2O7","bilayer nickelate","spin-fluctuation pairing","s± superconductivity","DMFT+RPA","orbital-selective renormalization","pairing symmetry"],"falsifier":"A measurement of the superconducting gap symmetry on pressurized La₃Ni₂O₇ that finds a dominant d_xy (B_{2}g) gap rather than a sign-changing s± gap, or a full four-orbital nonlocal calculation that restores the bare-RPA pairing hierarchy once non-local correlations and frequency structure are restored.","tokens_in":3141,"feed_emoji":"❄️","tokens_out":890,"duration_ms":6063,"temperature":0.7,"pith_summary":"Pressurized La₃Ni₂O₇ is a bilayer nickelate superconductor whose gap symmetry has remained unsettled because ordinary weak-coupling calculations place it near a near-tie between sign-changing s-wave and d-wave states. This paper argues that the outcome is controlled by how electron correlations renormalize the quasiparticles that enter the spin-fluctuation pairing kernel. Starting from a four-orbital Wannier model, the authors first extract a single-site two-orbital DMFT self-energy and then insert the dressed Green functions into the particle-hole bubble of RPA while leaving the residual local interaction vertices unchanged. In bare RPA the leading instability is B_{2}g d_xy pairing; once the DMFT bubble is used the hierarchy flips, the A_{1}g sign-changing s± state becomes dominant, B_{1}g d_{x^{2}-y^{2}} is subleading, and the original d_xy channel is strongly suppressed. Pocket- and orbital-resolved diagnostics show that the reversal is driven by orbital-selective renormalization of the d_{3z^{2}-r^{2}} sector, which filters the γ-pocket processes that favored d_xy while leaving the distributed inter-pocket scattering that favors s± intact. An independent dual Bethe–Salpeter calculation of the static spin susceptibility confirms a broad finite-momentum magnetic response that continues to support the correlation-stabilized s± state.","feed_headline":"Correlations flip nickelate pairing from d_xy to s±","feed_subtitle":"DMFT-dressed spin fluctuations reverse the bare-RPA hierarchy in pressurized La₃Ni₂O₇","key_machinery":"The self-energy-renormalized RPA bubble: the ordinary bare particle-hole bubble is replaced by a bubble constructed from single-site two-orbital DMFT Green functions, while the residual local interaction vertices remain those of the Slater–Kanamori Hamiltonian. This orbital-selective dressing filters γ-pocket scattering and reorders the pairing eigenvalues.","core_discovery":"Replacing the bare G_{0}G_{0} particle-hole bubble of RPA by a G_DMFT G_DMFT bubble, while keeping the same residual Slater–Kanamori vertices, reverses the leading pairing eigenvalue of pressurized La₃Ni₂O₇ from the B_{2}g d_xy channel to the A_{1}g sign-changing s± channel, with B_{1}g d_{x^{2}-y^{2}} subleading and B_{2}g strongly suppressed.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["DMFT bubble flips La3Ni2O7 pairing from d_xy to s±","Correlations reverse RPA hierarchy: s± wins over d_xy","G_DMFT G_DMFT bubble stabilizes s± in pressurized nickelate","Orbital-selective renormalization locks in s± over B2g d_xy","DMFT-dressed spin fluctuations favor s± in La3Ni2O7"],"cache_read_input_tokens":128,"weakest_assumption_plain":"That a single-site two-orbital DMFT self-energy, inserted only into the particle-hole bubble of RPA, is a faithful enough representation of the true correlation-renormalized quasiparticles that control the pairing hierarchy.","fun_headline_variants_meta":{"raw":{"variants":["DMFT bubble flips La3Ni2O7 pairing from d_xy to s±","Correlations reverse RPA hierarchy: s± wins over d_xy","G_DMFT G_DMFT bubble stabilizes s± in pressurized nickelate","Orbital-selective renormalization locks in s± over B2g d_xy","DMFT-dressed spin fluctuations favor s± in La3Ni2O7"]},"model":"grok-4.5","effort":"low","cost_usd":0.005162,"raw_usage":{"total_tokens":1603,"prompt_tokens":1018,"num_sources_used":0,"completion_tokens":92,"cost_in_usd_ticks":51620000,"prompt_tokens_details":{"text_tokens":1018,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":493,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":1018,"tokens_out":92,"duration_ms":3870,"temperature":1.0,"reasoning_tokens":493,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-14T03:11:29.615810+00:00","model_set":{"reader":"grok-4.5"},"falsifier":"A measurement of the superconducting gap symmetry on pressurized La₃Ni₂O₇ that finds a dominant d_xy (B_{2}g) gap rather than a sign-changing s± gap, or a full four-orbital nonlocal calculation that restores the bare-RPA pairing hierarchy once non-local correlations and frequency structure are restored.","supporting_citations":[],"review_version":1}