{"id":"5b932d45-ab41-4936-98c4-4fe009b00be2","arxiv_id":"2607.28458","paper_version":1,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":4,"one_line_summary":"Magnetic field selects two disordering routes in a random-DM skyrmion crystal, opening a high-field topological buffer with distinct Bragg-glass-like and skyrmion-glass regimes before topological charge collapses.","lead":"Simulations show that magnetic field controls how a disordered skyrmion crystal loses order: at high field, crystalline order dies well before topological charge, creating a protective buffer. That separation matters for building skyrmion devices that must work in imperfect real materials.","discovery_kind":"extension","skeptic_critique":{"model":"grok-4.5","headline":"SkBG assignment rests on algebraic fits to GT(r)/G6(r) over only ~half a decade in r, too short to securely separate quasi-LRO from a large but finite ξ.","rationale":"The reader correctly flags model specificity (classical DM-only disorder, T→0) as the main external-validity risk and lands on CONDITIONAL with high confidence in the in-model numerics. I agree the coarse claim—field-selected separation δT < δ6 < δQ at high B, with δ6≃δQ at low B—is internally well supported by the susceptibility peaks, FSS collapses (δc_T=0.0480(2), δc_6=0.281(4)), and the Q plateau in Fig. 1(c). That part does not need a verdict change. The softer load-bearing joint is the finer regime labeling inside the buffer: SkBG as Bragg-glass-like quasi-LRO. That rests on short-range correlation fits that are not decisive on the published plots, plus SM-only glassiness checks. This is an internal characterization risk rather than the reader’s external model-dependence point, hence partial agreement. It does not overturn the buffering phenomenon or justify moving off CONDITIONAL; it only underscores why code/SM release and longer-range correlation data matter before the SkBG/SkG language is taken as settled. Verdict remains CONDITIONAL/UNCHANGED.","tokens_in":9958,"tokens_out":693,"duration_ms":49697,"concrete_test":"On the existing L=150, B=1.2 disorder ensemble, recompute GT(r) and G6(r) out to r ≃ L/3 for the quoted SkBG points (δ=0.09, 0.195, 0.24) and overlay log–log vs semi-log fits with AIC/bootstrap errors. If semi-log wins and fitted ξ remains ≪ L (or the effective η drifts strongly with r-window), the algebraic SkBG assignment fails and the buffer should be redescribed as a single structurally disordered, topologically locked regime until δQ.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim’s internal structure (high-field buffer = SkBG then SkG) requires that after δc_T the system retain roughened, algebraically correlated translational order with persistent sixfold order up to δc_6. Fig. 2(e,f) support this only with log–log fits of GT(r) and G6(r) over r/a0 ≲ 6–7—barely a few inter-skyrmion spacings—even though L reaches 150. Over such a window, slow exponential decay with ξ ~ O(10a0) is easily mistaken for a power law; the paper never shows the large-r behavior that would rule this out, nor reports roughness/exponent stability under L. If the putative SkBG window is only a broad crossover with finite ξ, the sharp SkBG/SkG division inside the buffer weakens (while the coarser hierarchy δT < δ6 < δQ and the field-tuned contraction can still stand). Defect and A(t) diagnostics are deferred to SM and cannot be checked from the main text.","agreement_with_reader":"partial"},"referee_report":{"model":"grok-4.5","summary":"The manuscript reports large-scale classical Monte Carlo simulations of a triangular-lattice Heisenberg chiral magnet with quenched bond-directed DM disorder. It claims that the applied field selects between two disordering routes: at high field (B=1.2), translational order, sixfold bond-orientational order, and total topological charge are lost at well-separated scales δT < δ6 < δQ, defining a “topological buffer” that contains a Bragg-glass-like skyrmion regime (SkBG) followed by a skyrmion-glass regime (SkG) before topological reconstruction; at lower field (B=0.54), δ6 ≃ δQ, eliminating the SkG window and contracting the buffer. The hierarchy is read from susceptibility/response maxima, supported by finite-size collapses (δc_T=0.0480(2), δc_6=0.281(4)), real-space correlations GT(r) and G6(r), and (in the SM) defect statistics and spin autocorrelations.","tokens_in":10250,"tokens_out":1550,"duration_ms":45877,"significance":"If the reported field-tuned separation of crystalline and topological scales is robust, the work supplies a concrete organizing principle—“topological buffering”—for disordered skyrmion matter and a practical control knob (the magnetic field) for how far topology can survive structural disorder. That is of direct interest for both the classification of disordered topological magnets and for skyrmion devices in imperfect materials. Strengths include the use of standard, independently measured observables (mT, Φ6, lattice solid-angle Q), explicit finite-size collapses with quoted uncertainties that cleanly separate δc_T from δc_6, and multiple cross-checks (structure factors, defects, LLG autocorrelations). The modeling choices are conventional for the field; the main advance is the demonstrated hierarchy and its field dependence rather than a new microscopic mechanism.","major_comments":[{"comment":"Fig. 2(e,f) and the accompanying text assign the interval δc_T < δ < δc_6 as a Bragg-glass-like regime on the basis of “slow decays consistent with power-law behavior.” The displayed windows span only r/a0 ≲ 6–7 (roughly a few inter-skyrmion spacings) even for L=150. Over such a short range, a slow exponential with ξ ∼ O(10 a0) is difficult to distinguish from an algebraic decay; the paper does not show larger-r data, L-dependence of an effective roughness/exponent, or a quantitative model-comparison (power law vs. exponential) that would rule out a broad crossover with finite ξ. Because the abstract and conclusion present a sharp SkBG→SkG sequence inside the buffer as a central result, this identification needs either substantially longer-range correlations (or roughness scaling) or more cautious language that treats SkBG as a candidate regime consistent with, but not uniquely proven by","section":"Fig. 2(e–h); Finite-size scaling and characterization of distinct glassy regimes"},{"comment":"The glassy character of the putative SkG (δc_6 < δ < δQ) is asserted from exponential GT/G6, nearly locked Q, and SM diagnostics (Delaunay defect proliferation near δc_6 and a nonzero long-time spin-texture autocorrelation plateau under LLG). The main text only briefly alludes to the latter two. For a Letter-length claim that names a “skyrmion-glass regime,” at least one main-text panel or quantitative summary of defect density vs. δ and of A(t→∞) across SkBG/SkG/MDC is needed so that the assignment can be evaluated without the SM. Without that, the SkG label rests mainly on short-ranged crystalline correlations plus a Q plateau, which is necessary but not sufficient for a glass.","section":"Finite-size scaling…; Supplemental Material references"},{"comment":"The (B,δ) map in Fig. 1(b) is the key evidence that the field selects between two routes. Only two cuts (B=1.2 and B=0.54) are analyzed in detail, and the map itself is obtained on a single size (90×90). A brief check that the high-field ordering δT < δ6 < δQ and the low-field coalescence δ6 ≃ δQ survive on at least one larger size (or that δT(L), δ6(L), δQ(L) trends do not close the gaps) would materially strengthen the claim that the field is a control knob for buffer width and internal structure.","section":"Fig. 1(b); Field-selected topological buffering"}],"minor_comments":[{"comment":"Eq. (1) and the protocol fix J=1/3, D0=1, ηij uniform on [−1,1], and T=0.001. A short statement on why this J/D0 places the clean system deep in the SkX and whether the hierarchy was spot-checked for a nearby J/D0 would help readers assess parameter sensitivity.","section":"Model and observables"},{"comment":"In Fig. 1(c) the lighter curves (susceptibilities and −∂(Q/Q0)/∂δ) are hard to read against the normalized observables; consider a twin-axis layout or separate panels so that the peak locations defining δT, δ6, δQ are unambiguous.","section":"Fig. 1(c)"},{"comment":"The term “magnetically disordered chiral state (MDC)” is introduced for the post-δQ regime; a one-sentence clarification that residual local chirality can remain while net Q collapses would avoid confusion with a fully paramagnetic state.","section":"Field-selected topological buffering"},{"comment":"Typos/style: “grant nos.. 12174167” (double period) in the acknowledgments; “as the Bragg peaks broaden” spacing in the SkBG paragraph; consistent use of δ vs. ± in figure labels versus text.","section":"Acknowledgments; Fig. 1 caption"},{"comment":"References to Bragg glass [51,52] and skyrmion glass [7,27] are appropriate; a brief explicit contrast with thermal melting routes [23] in the discussion would sharpen the quenched-disorder message.","section":"Conclusion"}],"recommendation":"major_revision","confidential_remarks":"The central phenomenology (field-tuned separation of δT, δ6, δQ) looks publishable and is likely to interest the skyrmion and disordered-magnet communities. The main risk is over-interpretation of short-range correlation fits as a true Bragg glass; if the authors either strengthen that evidence or soften the SkBG claim, the paper is suitable for a strong specialized journal. I do not see a novelty or scope problem for cond-mat.str-el."},"author_rebuttal":null,"desk_editor":{"model":"grok-4.5","letter":"The thing worth knowing is that they actually map two field-selected routes. At high B they get a clear hierarchy δT < δ6 < δQ, so crystalline order dies while total topological charge stays locked over a wide window they call a topological buffer; at lower B that window collapses because δ6 and δQ merge. That field knob, and the high-field succession of roughened then short-ranged skyrmion regimes before charge loss, is the new content. Prior skyrmion-glass and random-bond work supplied the ingredients; the two-route (B, δ) map is theirs.\n\nWhat they do well is stack independent diagnostics on the same classical model: susceptibility peaks, finite-size collapses with quoted δc_T = 0.0480(2) and δc_6 = 0.281(4), GT/G6, and a low-field contrast cut. The coarser claim—field separates structural disordering from topological reconstruction—holds inside the model. Citations are appropriate; no circularity in how the scales are read off.\n\nSoft spots, in proportion. The SkBG assignment leans on log–log fits of GT(r) and G6(r) over only r/a0 ≲ 6–7. That is too short to securely rule out a large but finite ξ, so the sharp Bragg-glass vs skyrmion-glass division inside the buffer is weaker than the abstract implies. Defect stats and LLG autocorrelations are parked in the SM, so the glassiness claim is harder to audit from the main text. Everything is classical Heisenberg, DM-only disorder, annealed to T = 0.001; other disorder channels and finite T are untested. No code or data shipped. None of that kills the hierarchy or the field-tuning result.\n\nThis is for people who already care about disordered skyrmions, Bragg glass analogies, and device robustness in imperfect chiral magnets. It is a serious, incremental simulation paper, not a conceptual reset. I would send it to referees; they should demand longer-range correlations or roughness exponents and clearer bounds on model dependence, not a rewrite of the central map. Worth engaging if you work this area; skim the figures if you only need the field-control takeaway.","headline":"Clean simulation result: field tunes a real hierarchy of disorder scales in a skyrmion crystal; the SkBG label is the softest piece, not the buffer itself.","tokens_in":10909,"tokens_out":565,"would_cite":true,"duration_ms":20568,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.5","headline":"Magnetic field opens a disorder window where skyrmions keep their topology after crystalline order collapses.","keywords":["skyrmion crystal","quenched disorder","topological buffer","Bragg glass","skyrmion glass","Dzyaloshinskii-Moriya","chiral magnet","bond-orientational order"],"falsifier":"In a high-field skyrmion crystal with controlled disorder, check whether sixfold orientational order and topological charge (imaging or topological Hall) survive after Bragg peaks are already gone, and whether that separation collapses when the field is lowered.","tokens_in":10791,"feed_emoji":"🧲","tokens_out":839,"duration_ms":34488,"temperature":0.7,"pith_summary":"This paper asks whether quenched disorder destroys a skyrmion crystal’s lattice order and the topology of its individual skyrmions at the same strength. Large-scale classical simulations of a triangular-lattice chiral magnet with random Dzyaloshinskii–Moriya bonds show that the answer depends on magnetic field. At high field, translational order fails first, sixfold bond-orientational order fails later, and the total topological charge stays nearly locked until still stronger disorder—defining a topological buffer that holds a Bragg-glass-like regime and then a skyrmion-glass regime. At lower field those later scales merge, the glass window vanishes, and the buffer shrinks. The result gives a concrete control knob for how far topological textures can survive in structurally imperfect magnets, which matters for any skyrmion device that must tolerate real materials.","feed_headline":"Field opens a buffer where skyrmions keep topology after order dies","feed_subtitle":"High fields separate crystalline collapse from topological-charge loss; lower fields close that window.","key_machinery":"Topological buffering: the field-tunable disorder interval between progressive loss of crystalline (translational, then bond-orientational) order and loss of total topological charge, diagnosed by susceptibility peaks in mT, Φ6, and Q together with correlation, defect, and autocorrelation diagnostics.","core_discovery":"In a triangular-lattice chiral magnet with random DM interactions, the magnetic field selects between two disordering routes. At high fields the disorder scales separate as δT < δ6 < δQ, so global translational coherence is lost while sixfold bond-orientational order and then total topological charge survive to larger disorder, producing a topological buffer that contains successive Bragg-glass-like and skyrmion-glass regimes. At lower fields bond-orientational disordering nearly coincides with topological reconstruction, eliminating the skyrmion-glass window and contracting the buffer.","pith_inferences":["Field-selected buffering may generalize to other soliton crystals whenever disorder couples more strongly to lattice order than to topology.","Finite temperature or other disorder channels (anisotropy, vacancies) could shrink the buffer, so zero-temperature maps may overestimate the safe operating window.","Real-space counts of five–seven defect unbinding versus core reconnection could locate the buffer edges without full reciprocal-space analysis."],"forward_implications":["Magnetic field can widen or shrink the disorder window in which skyrmion topology outlives crystalline order.","The buffer splits into structurally distinct Bragg-glass-like and skyrmion-glass regimes with different correlation decays and defect statistics.","Skyrmion devices in imperfect materials may remain topologically robust past the loss of lattice order if run at high enough field.","Transport and relaxation measurements could resolve the buffer regimes experimentally."],"fun_headline_variants":["Field opens topological buffer after skyrmion order collapses","High fields separate crystalline loss from skyrmion topology loss","Magnetic field tunes Bragg-glass to skyrmion-glass buffer window","Low fields close skyrmion-glass gap as topology tracks bond order","Field controls when topology outlives order in disordered skyrmions"],"cache_read_input_tokens":128,"weakest_assumption_plain":"That a classical two-dimensional Heisenberg model with only random bond-directed DM interactions, annealed nearly to zero temperature, faithfully ranks how real skyrmion materials lose crystal order versus topology.","fun_headline_variants_meta":{"raw":{"variants":["Field opens topological buffer after skyrmion order collapses","High fields separate crystalline loss from skyrmion topology loss","Magnetic field tunes Bragg-glass to skyrmion-glass buffer window","Low fields close skyrmion-glass gap as topology tracks bond order","Field controls when topology outlives order in disordered skyrmions"]},"model":"grok-4.5","effort":"low","cost_usd":0.0046,"raw_usage":{"total_tokens":1325,"prompt_tokens":783,"num_sources_used":0,"completion_tokens":70,"cost_in_usd_ticks":46004000,"prompt_tokens_details":{"text_tokens":783,"audio_tokens":0,"image_tokens":0,"cached_tokens":128},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":472,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":783,"tokens_out":70,"duration_ms":9964,"temperature":1.0,"reasoning_tokens":472,"cache_read_input_tokens":128,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-31T06:43:35.330533+00:00","model_set":{"reader":"grok-4.5"},"falsifier":"In a high-field skyrmion crystal with controlled disorder, check whether sixfold orientational order and topological charge (imaging or topological Hall) survive after Bragg peaks are already gone, and whether that separation collapses when the field is lowered.","supporting_citations":[],"review_version":1}