Pith Number

pith:OX44KKU5

pith:2026:OX44KKU5EPRFJHHQGPGL4LNJ6G

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Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains

Chao Xu, Jianxun Li, Wang Yang

Renormalization group analysis shows symmetry-breaking effects in bosonization formulas for half-odd-integer Kitaev spin chains scale as 1/S in the large-S limit.

arxiv:2605.03582 v2 · 2026-05-05 · cond-mat.str-el

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Claims

C1strongest claim

the effects associated with the breaking of emergent continuous symmetries in bosonization formulas scale as 1/S in the large-S limit, which is in qualitative agreement with DMRG numerical results for Kitaev-Gamma chains. In Kitaev-Heisenberg-Gamma chains, symmetry analysis reveals ten independent bosonization coefficients, five of which are predicted by the RG analysis to have no dependence on the Heisenberg coupling up to linear order.

C2weakest assumption

The renormalization group analysis accurately captures the leading effects of emergent symmetry breaking in the bosonized theory for the chosen parameter region (K < 0, Gamma > 0, J > 0) and half-odd-integer S without higher-order corrections dominating.

C3one line summary

RG analysis finds that symmetry-breaking effects in bosonization coefficients scale as 1/S for large half-odd-integer S and identifies five coefficients independent of Heisenberg coupling to linear order.

Receipt and verification

First computed	2026-05-20T01:06:09.756572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f9c52a9d23e2549cf033ccbe2da9f18e1955dec31cd3e7ac4cef90bb782b31

Aliases

arxiv: 2605.03582 · arxiv_version: 2605.03582v2 · doi: 10.48550/arxiv.2605.03582 · pith_short_12: OX44KKU5EPRF · pith_short_16: OX44KKU5EPRFJHHQ · pith_short_8: OX44KKU5

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OX44KKU5EPRFJHHQGPGL4LNJ6G \
  | 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: 75f9c52a9d23e2549cf033ccbe2da9f18e1955dec31cd3e7ac4cef90bb782b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b25a96dea5a48ef0faa6cbf3b1c01cb11fa726a3f3f3f80ecd5fe76bec7bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-05T09:52:27Z",
    "title_canon_sha256": "0e5e4e586ea98049e9f585c1e4cd0dc06a4674de0abf4e55ead86829240bd13f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03582",
    "kind": "arxiv",
    "version": 2
  }
}