Pith Number

pith:IJWJVJW3

pith:2026:IJWJVJW3KN2JSPEINU26YLPGGG

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Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder

Adauto J. F. de Souza, Anderson L. R. Barbosa, Fernando A. Oliveira, Heitor R. Publio, Henrique A. de Lima, Marcos A. A. de Sousa

Conductance fluctuations transition from non-ergodic to ergodic behavior as disorder strength increases while multifractality persists.

arxiv:2605.15447 v1 · 2026-05-14 · cond-mat.mes-hall · cond-mat.stat-mech

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Claims

C1strongest claim

we show that conductance fluctuations exhibit a transition from non-ergodic to ergodic behavior as the disorder strength increases, as evidenced by the decay of the conductance correlation function. Remarkably, multifractality persists in both regimes; however, it becomes insensitive to shuffling in the strong-disorder (ergodic) regime, suggesting that distributional effects dominate temporal organization.

C2weakest assumption

The assumption that the decay of the conductance correlation function reliably signals a transition to ergodicity and that shuffling the time series cleanly separates temporal correlations from distributional effects without introducing artifacts, as these interpretations are presented without explicit thresholds or validation against alternative ergodicity measures.

C3one line summary

Conductance fluctuations in 2D Anderson-disordered tight-binding systems transition from non-ergodic to ergodic with rising disorder while multifractality persists, driven by long-range correlations in weak disorder and distributional effects in strong disorder.

References

49 extracted · 49 resolved · 1 Pith anchors

[1] C. W. J. Beenakker, Random-matrix theory of quan- tum transport, Reviews of Modern Physics69, 731–808 (1997) 1997

[2] S. Rotter and S. Gigan, Light fields in complex media: Mesoscopic scattering meets wave control, Rev. Mod. Phys.89, 015005 (2017) 2017

[3] P. A. Lee and A. D. Stone, Universal conductance fluc- tuations in metals, Phys. Rev. Lett.55, 1622 (1985) 1985

[4] S. Talkington, D. Mallick, A.-H. Chen, B. F. Mead, S.- J. Yang, C.-J. Kim, S. Adam, L. Wu, M. Brahlek, and E. J. Mele, Weak localization and universal conductance fluctuations in large-area twisted bi 2026

[5] M. S. M. Barros, A. J. N. J´ unior, A. F. Macedo- Junior, J. G. G. S. Ramos, and A. L. R. Barbosa, Open chaotic dirac billiards: Weak (anti)localization, conduc- tance fluctuations, and decoherence, P 2013

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Receipt and verification

First computed	2026-05-20T00:00:59.147905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

426c9aa6db5374993c886d35ec2de631b2fb38829a8133c0af54fbbe8fee288b

Aliases

arxiv: 2605.15447 · arxiv_version: 2605.15447v1 · doi: 10.48550/arxiv.2605.15447 · pith_short_12: IJWJVJW3KN2J · pith_short_16: IJWJVJW3KN2JSPEI · pith_short_8: IJWJVJW3

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/IJWJVJW3KN2JSPEINU26YLPGGG \
  | 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: 426c9aa6db5374993c886d35ec2de631b2fb38829a8133c0af54fbbe8fee288b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fa31999b018996e2a9cf8edce54ce145e5ec4d9e983ef9ef16c8427398ca09",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-14T22:16:40Z",
    "title_canon_sha256": "343969a5ec4e6fbcba94346df973dcf7fd0e334741b2882253dfc843a73f16ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15447",
    "kind": "arxiv",
    "version": 1
  }
}