Pith Number

pith:VAKWG34H

pith:2026:VAKWG34HTLUJOPRB7CVBZD7O2B

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Crossover and universality breaking in the dilute Baxter-Wu model

Alexandros Vasilopoulos, Dimitrios Mataragkas, Dong-Hee Kim, Nikolaos G. Fytas

The dilute spin-1 Baxter-Wu model features continuously varying critical exponents along a line of continuous transitions before crossing over to first-order behavior.

arxiv:2605.13238 v1 · 2026-05-13 · cond-mat.stat-mech

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Claims

C1strongest claim

Our results provide strong evidence for continuously varying critical exponents at finite dilution and reveal a crossover to first-order behavior. Along the line of continuous transitions, the central charge remains close to c=1, while the scaling dimensions systematically deviate from the spin-1/2 limit as the crystal field increases, eventually giving way to a first-order regime at strong fields.

C2weakest assumption

That the numerical methods employed (transfer-matrix and Monte Carlo) sufficiently suppress finite-size effects and sampling biases to reliably detect the continuous variation of exponents and the crossover point.

C3one line summary

Numerical simulations reveal continuously varying critical exponents in the dilute Baxter-Wu model that cross over to first-order behavior at strong crystal fields, with central charge near 1.

References

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[1] , wherek B de- notes the Boltzmann constant

[2] Sparse-matrix factorization We construct the transfer matrixTin the two-layer geometry of the triangular lattice following the sparse- matrix factorization introduced in Ref. [17]. We adopt the same c

[3] Assuming a second-order tran- sition for fixed∆≤1, we locate the crossing point TM,M+3 of the scaled correlation length,ξ M /M≡ [Mln(λ 0/λ1)]−1, between strips of widthsMandM+ 3

[4] D. W. Wood and H. P. Griffiths, A self dual relation for an Ising model with triplet interactions, J. Phys. C: Solid State Phys.5, L253 (1972) 1972

[5] R. J. Baxter and F. Y. Wu, Exact solution of an Ising model with three-spin interactions on a triangular lattice, Phys. Rev. Lett.31, 1294 (1973) 1973

Receipt and verification

First computed	2026-05-18T02:44:49.528870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a815636f879ae8973e21f8aa1c8feed071cd3dfcde2e5f521741ea4d3b3a656e

Aliases

arxiv: 2605.13238 · arxiv_version: 2605.13238v1 · doi: 10.48550/arxiv.2605.13238 · pith_short_12: VAKWG34HTLUJ · pith_short_16: VAKWG34HTLUJOPRB · pith_short_8: VAKWG34H

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/VAKWG34HTLUJOPRB7CVBZD7O2B \
  | 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: a815636f879ae8973e21f8aa1c8feed071cd3dfcde2e5f521741ea4d3b3a656e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ffd9e21d232c5f7a52f5cfa435e843e723859087397d37d52cc54641e55aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-13T09:25:15Z",
    "title_canon_sha256": "14f3d90fa602ffca02edd181849393ce1ef3e8fc0676f5085f6262029901d6c3"
  },
  "schema_version": "1.0",
  "source": {
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    "kind": "arxiv",
    "version": 1
  }
}