Pith Number

pith:SPSPKUUM

pith:2026:SPSPKUUMYNRTZ6N7YJZGWVTK5G

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Quantum Criticality in Monolayer Amorphous Carbon

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

Monolayer amorphous carbon exhibits Anderson criticality at the band center driven purely by topological disorder.

arxiv:2605.14349 v1 · 2026-05-14 · cond-mat.dis-nn · cond-mat.mes-hall

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\pithnumber{SPSPKUUMYNRTZ6N7YJZGWVTK5G}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

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Claims

C1strongest claim

Our results establish MAC as the first strictly 2D amorphous electronic system to exhibit Anderson criticality driven purely by topological disorder.

C2weakest 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.

C3one 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.

References

64 extracted · 64 resolved · 0 Pith anchors

[1] Here, we apply the same tech- nique to probe the criticality in a strictly 2D amorphous material 2024

[2] ‘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

[3] B. Kramer and A. MacKinnon, Localization: theory and experiment, Reports on Progress in Physics56, 1469 (1993) 1993

[4] P. W. Anderson, Absence of Diffusion in Certain Random Lattices, Physical Review109, 1492 (1958) 1958

[5] 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) 1979

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:08.091550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e4f5528cc3633cf9bfc2726b566ae9a8deb7105b6c1a67c2bcc3985ed00f77

Aliases

arxiv: 2605.14349 · arxiv_version: 2605.14349v1 · doi: 10.48550/arxiv.2605.14349 · pith_short_12: SPSPKUUMYNRT · pith_short_16: SPSPKUUMYNRTZ6N7 · pith_short_8: SPSPKUUM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SPSPKUUMYNRTZ6N7YJZGWVTK5G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 93e4f5528cc3633cf9bfc2726b566ae9a8deb7105b6c1a67c2bcc3985ed00f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c43dcdb3e12f3e5091814097ebd0bb5918f1d4477c5732f9aec266290623f3",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-05-14T04:22:02Z",
    "title_canon_sha256": "dda59baae2b82819210a1f1b5e76fb53780c0edaa0faf52896b6843d1cd5c34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14349",
    "kind": "arxiv",
    "version": 1
  }
}