Pith Number

pith:6VOX3OGK

pith:2026:6VOX3OGK7YPUHZ2LFFFMST6DMH

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Criticality on R\'enyi defects at (2+1)$d$ O(3) quantum critical points

Meng Cheng, Yanzhang Zhu, Zheng Yan, Zhe Wang

Rényi defects at O(3) quantum critical points fall into multiple universality classes set by the choice of entanglement cut.

arxiv:2605.00104 v2 · 2026-04-30 · cond-mat.str-el · cond-mat.stat-mech · hep-th · quant-ph

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Claims

C1strongest claim

for a fixed Rényi index n, there exist multiple Rényi defect universality classes, with distinct critical exponents for the O(3) order parameter on the defect. These universality classes are realized by choosing microscopically different entanglement cuts in lattice models, which we classify as ordinary, special and extraordinary according to their relation to surface criticality. For the extraordinary entanglement cut, we further find evidence for a phase transition on the defect as a function of the Rényi index.

C2weakest assumption

That the microscopically different entanglement cuts in the lattice models map onto distinct ordinary, special, and extraordinary surface criticality classes in the continuum infrared theory, and that observed differences in critical exponents are not due to finite-size effects or other simulation artifacts.

C3one line summary

Numerical evidence shows multiple Rényi defect universality classes at O(3) quantum critical points depending on entanglement cut type, with a possible phase transition on the defect for extraordinary cuts as the Rényi index varies.

Cited by

1 paper in Pith

Determination of thermodynamics from entanglement entropy in the finite-density O(N) model

Receipt and verification

First computed	2026-07-17T01:21:50.030905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55d7db8cafe1f43e74b294ac94fc361c2c7d04dc55a1240d8e062378c759511

Aliases

arxiv: 2605.00104 · arxiv_version: 2605.00104v2 · doi: 10.48550/arxiv.2605.00104 · pith_short_12: 6VOX3OGK7YPU · pith_short_16: 6VOX3OGK7YPUHZ2L · pith_short_8: 6VOX3OGK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6VOX3OGK7YPUHZ2LFFFMST6DMH \
  | 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: f55d7db8cafe1f43e74b294ac94fc361c2c7d04dc55a1240d8e062378c759511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1dad3435a5111dae83db2948aa81a2f4e2377af8f7af550d83542f704199e71",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-04-30T18:00:12Z",
    "title_canon_sha256": "68726127a0d85d9a09e65b30902bb909e0f7f22862e90213a02978b809da91d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00104",
    "kind": "arxiv",
    "version": 2
  }
}