{"id":"01d24356-95e0-4811-b1d0-1012c2467014","arxiv_id":"2606.25717","paper_version":2,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":4.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":1,"one_line_summary":"Two-body interactions cause charge pumping to lose quantization in the driven Falicov-Kimball model despite persisting edge modes, due to interaction-induced broadening, with distinct energy dissipation rates in high- versus intermediate-frequency regimes.","lead":"This paper examines how two-body interactions affect topological phases in a circularly driven Falicov-Kimball model on a honeycomb lattice using real-space Floquet DMFT. A smart generalist might read it to learn whether interactions preserve or destroy quantization in experimentally realized Floquet systems.","discovery_kind":"extension","skeptic_critique":{"model":"grok-4.3","headline":"Real-space Floquet DMFT accuracy for interaction-induced edge-mode broadening and loss of pumping quantization","rationale":"The reader's weakest assumption directly identifies the same methodological hinge. The full-text description of the DMFT implementation would be needed to tighten the test, but the load-bearing risk remains the uncontrolled accuracy of the local approximation for edge physics.","tokens_in":1621,"tokens_out":330,"duration_ms":16450,"concrete_test":"At fixed small U (e.g., U=0.5t) recompute the edge spectral function and the pumped charge per cycle using both real-space DMFT and a cluster-DMFT or exact-diagonalization reference on a 6×6 cylinder; if the DMFT edge width exceeds the reference by >20% or the pumped charge deviates from the reference quantization while the reference remains quantized, the attribution is compromised.","verdict_should_be":"CONDITIONAL","load_bearing_attack":"The central claim states that charge pumping loses quantization with increasing U despite surviving edge modes, attributing this to interaction-induced broadening. This rests on real-space Floquet DMFT correctly producing the broadened edge spectral function and the associated non-quantized pumping. Because DMFT employs a strictly local self-energy, non-local correlations along the edge (especially on the honeycomb lattice) are neglected; any artificial lifetime or hybridization introduced by the auxiliary bath or the DMFT self-consistency loop could mimic or exaggerate the reported broadening. The abstract provides no benchmark against small-system exact methods or perturbative limits at weak U, leaving open whether the observed loss of quantization is physical or an artifact of the approximation.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript examines the circularly driven Falicov-Kimball model on the honeycomb lattice using real-space Floquet DMFT. In the noninteracting limit the system realizes an effective Haldane phase at high driving frequencies and an anomalous topological phase at intermediate frequencies. The central claim is that finite two-body interaction U destroys the quantization of charge pumping while edge modes remain visible in the spectrum; this loss is attributed to interaction-induced broadening of the edge modes. The work also reports the energy dissipation rate into the bath and finds qualitatively different behavior in the two frequency regimes.","tokens_in":1751,"tokens_out":354,"duration_ms":21398,"significance":"If the numerical results are free of uncontrolled DMFT artifacts, the finding that quantized pumping can be lost while edge modes persist would be a useful counter-example to the common assumption that the presence of edge states guarantees quantized transport in interacting Floquet systems. The real-space DMFT treatment of an inhomogeneous driven lattice model is technically non-trivial and, if validated, would provide a practical tool for studying interaction effects on Floquet edge physics.","major_comments":[{"comment":"Abstract and method description: the central attribution of non-quantized pumping to interaction-induced broadening of edge modes rests on the accuracy of real-space Floquet DMFT. Because DMFT employs a strictly local self-energy, non-local correlations along the honeycomb edge are neglected; the manuscript provides no benchmark against exact diagonalization on small clusters or against weak-U perturbation theory that would confirm the reported broadening is physical rather than an artifact of the auxiliary bath or the DMFT self-consistency loop.","section":"Abstract"}],"minor_comments":[],"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 for highlighting the importance of validating the real-space Floquet DMFT approach. We address the concern below and outline the changes we will make.","responses":[{"response":"We acknowledge that real-space DMFT employs a local self-energy and therefore neglects non-local correlations. However, for the Falicov-Kimball model this is not an uncontrolled approximation: because the localized electrons have strictly zero hopping, the self-energy of the mobile electrons is exactly local (a property that holds beyond DMFT and has been used to obtain exact solutions in the literature). Real-space DMFT is therefore the appropriate method for the inhomogeneous geometry with edges. The interaction-induced broadening we report is a direct consequence of the local U term and appears already at weak U, consistent with perturbative expectations. We will add a dedicated paragraph in the Methods section (and a brief remark in the abstract) explaining the exact locality of the self-energy for the FK model, citing the relevant literature on DMFT for FK systems, and noting that prior real-space DMFT studies of edge states in driven lattices have reproduced known non-interacting limits. We do not plan to add new ED benchmarks, as they would require clusters large enough to host well-defined edge modes while remaining computationally feasible, but the above clarification addresses the physical origin of the reported effect.","revision_made":"partial","referee_comment":"[Abstract] Abstract and method description: the central attribution of non-quantized pumping to interaction-induced broadening of edge modes rests on the accuracy of real-space Floquet DMFT. Because DMFT employs a strictly local self-energy, non-local correlations along the honeycomb edge are neglected; the manuscript provides no benchmark against exact diagonalization on small clusters or against weak-U perturbation theory that would confirm the reported broadening is physical rather than an artifact of the auxiliary bath or the DMFT self-consistency loop."}],"tokens_in":1269,"tokens_out":410,"duration_ms":25607,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main point here is that adding interactions to the driven Falicov-Kimball model on the honeycomb lattice causes charge pumping to lose its quantization, even as edge modes remain in the spectrum, and the authors trace this to broadening from the interactions using real-space Floquet DMFT. They also compute energy dissipation rates that behave differently in the large-frequency regime versus the intermediate one.\n\nThis builds directly on prior noninteracting work that has been realized in experiments. The new element is the finite U calculation and the finding that quantization fails despite the modes. The paper handles the two topological phases separately and shows the effect across them.\n\nIt does well in focusing on a model with experimental connection and in providing concrete results on both pumping and dissipation. The use of real-space DMFT is appropriate for capturing the lattice and driving effects.\n\nThe soft spots are around the method's accuracy for the key claim. DMFT's local self-energy neglects non-local correlations, which on a honeycomb lattice could be important for edge states. The concern about possible artifacts in the broadening from the DMFT setup is reasonable, and without benchmarks like exact results at small U or comparisons to other methods, it's difficult to confirm that the loss of quantization is not influenced by the approximation. The paper would be stronger with such checks.\n\nThis work is aimed at researchers in Floquet engineering and topological phases in driven quantum gases. Someone working on similar lattice models with interactions would find the results on how U affects the phases useful for context.\n\nIt deserves serious refereeing because the question is relevant and the calculations are specific, even though the conclusions depend on the DMFT reliability.\n\nI recommend sending it for peer review so that experts can assess the numerics and whether the attribution holds up.","headline":"Interactions destroy quantized pumping via edge broadening in this Floquet DMFT study, but the local approximation may need validation.","tokens_in":2243,"tokens_out":428,"would_cite":false,"duration_ms":24859,"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":"Two-body interactions destroy quantized charge pumping in Floquet topological phases even when edge modes remain.","keywords":["Floquet topological phases","Falicov-Kimball model","dynamical mean field theory","charge pumping","interactions","edge modes","honeycomb lattice","energy dissipation"],"falsifier":"An experiment or calculation that finds quantized pumping persisting at large U while edge modes remain visible in the spectrum would falsify the central claim.","tokens_in":2526,"feed_emoji":"⚛️","tokens_out":417,"duration_ms":19949,"temperature":0.7,"pith_summary":"The paper examines the circularly driven Falicov-Kimball model on a honeycomb lattice using real-space Floquet dynamical mean-field theory. In the noninteracting limit the system realizes an effective Haldane phase at high driving frequencies and an anomalous topological phase at intermediate frequencies. With increasing interaction strength the quantization of charge pumping is lost, although edge modes continue to appear in the spectrum. The loss is traced to interaction-induced broadening of those edge modes, and the rate of energy dissipation into the bath differs markedly between the two frequency regimes.","feed_headline":"Interactions break quantized pumping despite edge modes","feed_subtitle":"Edge-mode broadening under two-body interactions removes quantization of charge transport in driven honeycomb lattices.","key_machinery":"Real-space Floquet dynamical mean-field theory applied to the circularly driven Falicov-Kimball model, which tracks the interaction-broadened spectral features and the resulting transport.","core_discovery":"Charge pumping ceases to be quantized with rising two-body interaction strength U, despite the continued presence of edge modes in the spectrum. This occurs because the interactions broaden the edge modes. The two driving-frequency regimes display distinctly different energy dissipation rates into the bath.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["U disrupts quantized pumping despite edges","Broadened edges remove pumping quantization","Pumping not quantized with rising two-body U","Dissipation rates vary across driving regimes"],"cache_read_input_tokens":64,"weakest_assumption_plain":"Real-space Floquet DMFT accurately captures the interaction-induced broadening of edge modes and the resulting loss of quantized pumping without uncontrolled approximations.","fun_headline_variants_meta":{"raw":{"variants":["U disrupts quantized pumping despite edges","Broadened edges remove pumping quantization","Pumping not quantized with rising two-body U","Dissipation rates vary across driving regimes"]},"model":"grok-4.3","cost_usd":0.006265,"raw_usage":{"total_tokens":2881,"prompt_tokens":535,"num_sources_used":0,"completion_tokens":49,"cost_in_usd_ticks":62649500,"prompt_tokens_details":{"text_tokens":535,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":2297,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":535,"tokens_out":49,"duration_ms":26393,"temperature":1.0,"reasoning_tokens":2297,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-30T09:58:16.170649+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"An experiment or calculation that finds quantized pumping persisting at large U while edge modes remain visible in the spectrum would falsify the central claim.","supporting_citations":[],"review_version":2}