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Using a four-patch dynamical cluster approximation with the numerical renormalization group as a cluster impurity solver, we access real-frequency dynamics over several decades at arbitrary temperatures. Close to the critical doping, the local spin and cluster-current susceptibility spectra exhibit $x=\\omega/T$ scaling of the form $\\chi''(\\omega,T)\\sim \\tanh(x/2)$, and the cluster contribution to the optical conductivity obeys $T\\sigma'_{\\mathrm{cl}}(\\o"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.15060","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-14T16:50:40Z","cross_cats_sorted":[],"title_canon_sha256":"a5622bda91f1e5f69a994d7af89197bc76b8ceb1af9736fc2dbd67e1b7353686","abstract_canon_sha256":"e959f5cb07f2dae5eb95137eb89706a6763fc733c0cb79cffa346c657ae58cc0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:38:54.295867Z","signature_b64":"2wHJd2Yqfz20Gjbrtg5wHtiUC2j9Y3AQ5ReJKg9j6iWiRq8WeAq5LXPreESC4fJQnV/bi7+FCPauvTxthrLeCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"258a1d6a159a8a3356b1804288173ec6b41f36412d23c40e90b0426962f3827b","last_reissued_at":"2026-05-17T23:38:54.295365Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:38:54.295365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical scaling near the pseudogap quantum critical point of the two-dimensional Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The two-dimensional Hubbard model shows ω/T scaling of the form tanh(ω/2T) in spin and current susceptibilities near its pseudogap quantum critical point.","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andreas Gleis, Gabriel Kotliar, Jan von Delft, Mathias Pelz","submitted_at":"2026-05-14T16:50:40Z","abstract_excerpt":"We study dynamical scaling in the quantum-critical fan of the pseudogap-metal to Fermi-liquid transition of the two-dimensional Hubbard model. 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Close to the critical doping, the local spin and cluster-current susceptibility spectra exhibit $x=\\omega/T$ scaling of the form $\\chi''(\\omega,T)\\sim \\tanh(x/2)$, and the cluster contribution to the optical conductivity obeys $T\\sigma'_{\\mathrm{cl}}(\\o"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Close to the critical doping, the local spin and cluster-current susceptibility spectra exhibit x=ω/T scaling of the form χ''(ω,T)∼tanh(x/2), and the cluster contribution to the optical conductivity obeys Tσ'cl(ω,T)∼tanh(x/2)/x, implying a 1/T cluster dc conductivity.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the four-patch DCA with NRG solver faithfully captures the low-energy dynamics and vertex corrections near the pseudogap QCP without significant finite-size or approximation artifacts that would alter the reported scaling forms.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Numerical evidence shows ω/T scaling in susceptibilities and 1/T cluster conductivity near the pseudogap QCP in the 2D Hubbard model, consistent with marginal-Fermi-liquid self-energy and strange-metal transport.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The two-dimensional Hubbard model shows ω/T scaling of the form tanh(ω/2T) in spin and current susceptibilities near its pseudogap quantum critical point.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"5646ab8227be6ad28a632922ab2302ced9027f9524d4a28da88429ebd5c25fb5"},"source":{"id":"2605.15060","kind":"arxiv","version":1},"verdict":{"id":"ad4b7eba-e264-45bd-8d38-874e61ebd970","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T14:05:37.435641Z","strongest_claim":"Close to the critical doping, the local spin and cluster-current susceptibility spectra exhibit x=ω/T scaling of the form χ''(ω,T)∼tanh(x/2), and the cluster contribution to the optical conductivity obeys Tσ'cl(ω,T)∼tanh(x/2)/x, implying a 1/T cluster dc conductivity.","one_line_summary":"Numerical evidence shows ω/T scaling in susceptibilities and 1/T cluster conductivity near the pseudogap QCP in the 2D Hubbard model, consistent with marginal-Fermi-liquid self-energy and strange-metal transport.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the four-patch DCA with NRG solver faithfully captures the low-energy dynamics and vertex corrections near the pseudogap QCP without significant finite-size or approximation artifacts that would alter the reported scaling forms.","pith_extraction_headline":"The two-dimensional Hubbard model shows ω/T scaling of the form tanh(ω/2T) in spin and current susceptibilities near its pseudogap quantum critical point."},"references":{"count":125,"sample":[{"doi":"","year":null,"title":"In the strange metal regime this yieldedσ ′ cl,V ≫σ ′ latt,B, i.e","work_id":"9f23d258-21df-4a90-aa67-46f5fd4e1323","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"B. 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