Pith Number

pith:Q65JYI7S

pith:2025:Q65JYI7SWVKWE7FHO7UI4G3OWU

not attested not anchored not stored refs pending

Multiple reentrant topological windows induced by generalized Bernoulli disorder

Ruijiang Ji, Shu Chen, Yunbo Zhang, Zhihao Xu

Generalized Bernoulli disorder in intradimer hoppings creates multiple disconnected topological windows in a one-dimensional chiral lattice.

arxiv:2512.06851 v3 · 2025-12-07 · physics.optics · cond-mat.dis-nn · quant-ph

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Claims

C1strongest claim

We show that varying the values and probabilities of the disorder distribution systematically changes the number and widths of disconnected topological windows. The phase boundaries are obtained analytically from the inverse localization length of zero modes and agree with numerical calculations.

C2weakest assumption

The model assumes a one-dimensional chiral Su-Schrieffer-Heeger lattice with disorder restricted to intradimer hopping amplitudes following a generalized Bernoulli distribution, and that the inverse localization length of zero modes fully determines the topological phase boundaries without additional corrections from finite-size or higher-order effects.

C3one line summary

Generalized Bernoulli disorder in the SSH model induces multiple re-entrant topological windows with phase boundaries set by the inverse localization length of zero modes.

Formal links

2 machine-checked theorem links

Cited by

2 papers in Pith

Topological Anderson insulators and reentrant topological transitions in a quasiperiodic long-range Su-Schrieffer-Heeger model

Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal

Receipt and verification

First computed	2026-06-03T01:05:08.110966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ba9c23f2b555627ca777e88e1b6eb52226f23427713ebc2755ac90968b9f12

Aliases

arxiv: 2512.06851 · arxiv_version: 2512.06851v3 · doi: 10.48550/arxiv.2512.06851 · pith_short_12: Q65JYI7SWVKW · pith_short_16: Q65JYI7SWVKWE7FH · pith_short_8: Q65JYI7S

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q65JYI7SWVKWE7FHO7UI4G3OWU \
  | 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: 87ba9c23f2b555627ca777e88e1b6eb52226f23427713ebc2755ac90968b9f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4bbab2f21533279ac31f4c688f03c3e753c5e4680df6803d944317bfde87e0a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-12-07T14:05:32Z",
    "title_canon_sha256": "186c55b6c43e4e5ecba3c40aff147258cef42024b50006d4e08abd29d5299476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06851",
    "kind": "arxiv",
    "version": 3
  }
}