{"paper":{"title":"Quantum Criticality in Monolayer Amorphous Carbon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Monolayer amorphous carbon exhibits Anderson criticality at the band center driven purely by topological disorder.","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"Abee Nelson, Arsen Herasymchuk, Artem K Grebenko, Barbaros Ozyilmaz, Bent Weber, Chee Tat Toh, Gagandeep Singh, Hanning Zhang, Hongji Zhang, Kazutomo Suenaga, Naoto Kimiuchi, Oleg V. Yazyev, Ranjith Shivajirao, Rejaul Sk, Rudolf A Romer, Shaffique Adam, Yuta Sato, Zheng Jue Tong","submitted_at":"2026-05-14T04:22:02Z","abstract_excerpt":"Amorphous solids represent the extreme limit of broken translational symmetry, in which the absence of long-range order removes well-defined crystal momenta and invalidates the Bloch description of electronic states. Monolayer amorphous carbon (MAC) has emerged as a unique realization of a strictly two-dimensional (2D) amorphous lattice defined by a structurally contiguous but topologically disordered $sp^2$-bonded random network devoid of any defined long-range crystal symmetry. From atomic-resolution measurements of multifractal wavefunctions, we show that disorder in MAC effectively localiz"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our results establish MAC as the first strictly 2D amorphous electronic system to exhibit Anderson criticality driven purely by topological disorder.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The conjecture that the critical state near E=0 is protected from topological disorder by remnant chiral symmetry surviving within the continuous random network, described by a Wess-Zumino-Witten topological term.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Monolayer amorphous carbon exhibits Anderson criticality at the band center due to topological disorder, with multifractal wavefunctions obeying the scaling relation eta equals negative Delta two, confirmed by atomic-resolution measurements and tight-binding calculations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Monolayer amorphous carbon exhibits Anderson criticality at the band center driven purely by topological disorder.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"274ecb04a225d418b76bda0f553b4fa89ec01c8936dc16715807268864be9c01"},"source":{"id":"2605.14349","kind":"arxiv","version":1},"verdict":{"id":"d00fe512-f320-49a1-b3a5-72fbadaa9e65","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:58:44.969564Z","strongest_claim":"Our results establish MAC as the first strictly 2D amorphous electronic system to exhibit Anderson criticality driven purely by topological disorder.","one_line_summary":"Monolayer amorphous carbon exhibits Anderson criticality at the band center due to topological disorder, with multifractal wavefunctions obeying the scaling relation eta equals negative Delta two, confirmed by atomic-resolution measurements and tight-binding calculations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The conjecture that the critical state near E=0 is protected from topological disorder by remnant chiral symmetry surviving within the continuous random network, described by a Wess-Zumino-Witten topological term.","pith_extraction_headline":"Monolayer amorphous carbon exhibits Anderson criticality at the band center driven purely by topological disorder."},"references":{"count":64,"sample":[{"doi":"","year":2024,"title":"Here, we apply the same tech- nique to probe the criticality in a strictly 2D amorphous material","work_id":"c1a75f94-ac23-4916-857f-72d165b757f8","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"‘Quantum Geometric Advantage’. VII. AUTHOR CONTRIBUTIONS RSK performed the scanning tunnelling microscopy and spectroscopy experiments with help from RS GS and ZJT. AKG CTT and HZ prepared the MAC sam","work_id":"fe5de798-7921-4076-b857-45962551b83f","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1993,"title":"B. Kramer and A. MacKinnon, Localization: theory and experiment, Reports on Progress in Physics56, 1469 (1993)","work_id":"5b6a9d9d-5de1-4100-8321-0b3f8150126b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1958,"title":"P. W. Anderson, Absence of Diffusion in Certain Random Lattices, Physical Review109, 1492 (1958)","work_id":"82b86a15-8dda-42a5-ad05-3e9b56ab2c54","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1979,"title":"E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions, Phys- ical Review Letters42, 673 (1979)","work_id":"15b3c571-df3c-492b-baf2-cddcf64db435","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":64,"snapshot_sha256":"823a017aaf2236d89a38867877e09b2e7b3109c6386a4ffdb4e32dc994acbf62","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"6e0875617f21eabe011e7a05edeb2400df92c209503c3ec184f8ee5dab453b15"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}