Pith Number

pith:XRZDIHBI

pith:2026:XRZDIHBI2VCWZF5XTLS7CBAWQB

not attested not anchored not stored refs resolved

Engineering Delocalization in Graphene Nanoribbons via Quasiperiodic Edges and Electronic Interactions

Anderson L. R. Barbosa, Diego B. Fonseca, Luiz Felipe C. Pereira

Quasiperiodic Fibonacci edges and weak electron interactions together produce a conductive delocalized regime in graphene nanoribbons.

arxiv:2605.14216 v1 · 2026-05-14 · cond-mat.mes-hall

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

the combination of quasiperiodic geometry and electronic interactions gives rise to nontrivial transport phenomena... delocalization emerges from the interplay between geometry and interaction-induced correlations

C2weakest assumption

The self-consistent mean-field Hubbard approximation remains accurate across the interaction strengths explored and the chosen first- and third-nearest-neighbor hoppings capture all relevant physics of the quasiperiodic edges.

C3one line summary

Quasiperiodic Fibonacci edges in zigzag graphene nanoribbons combined with moderate electron interactions induce a conductive regime with transmission oscillations, while non-interacting and strongly interacting cases remain localized.

References

58 extracted · 58 resolved · 0 Pith anchors

[1] Initialize the per-site densities with a uniform half- filling seed: ⟨ni⟩(0) = 0.5

[2] Build the device Hamiltonian HM F[{⟨ni⟩(k)}] by assigning on-site potentials U ⟨ni⟩(k)

[3] Compute the LDOS on the energy grid; integrate the LDOS to obtain ⟨ni⟩new

[4] Form the residual r(k) = ⟨ni⟩new − ⟨ni⟩(k) and up- date the density using an Anderson mixing routine [48–50] with history length 5 and damping param- eter α = 0.1

[5] Repeat steps 2–4 until the relative convergence cri- terion ∥⟨ni⟩(k+1) − ⟨ni⟩(k)∥ ∥⟨ni⟩(k)∥ < 10−6 (8) is met or until a maximum of 25,000 iterations is reached. Note that this criterion monitors the 2025

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:10.879963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc72341c28d5456c97b79ae5f104168077ed4f92a1d08f09218b76e402b0fa13

Aliases

arxiv: 2605.14216 · arxiv_version: 2605.14216v1 · doi: 10.48550/arxiv.2605.14216 · pith_short_12: XRZDIHBI2VCW · pith_short_16: XRZDIHBI2VCWZF5X · pith_short_8: XRZDIHBI

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/XRZDIHBI2VCWZF5XTLS7CBAWQB \
  | 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: bc72341c28d5456c97b79ae5f104168077ed4f92a1d08f09218b76e402b0fa13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e545a7883e7a3154ffd3215e122d8e6e8ad5caa2c40affcd651878ac2eba32ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-14T00:18:37Z",
    "title_canon_sha256": "96c50e867569b139fcf79f72cbed3059a9991d7a8dbaa74bba2aa8d5c331a44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14216",
    "kind": "arxiv",
    "version": 1
  }
}