🔵 S1XXZ1D/MassGap/Infinite
Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
An independent card exists and the value satisfies an internal invariant; no external value re-derives it yet.
src claim
- method
s1_heisenberg_delegation, statusexact, reliabilitymedium, refs: WhiteHuse1993 | Schulz1986 | TzengYang2008 - Δ=1 delegate to S1Heisenberg1D Haldane gap; Δ≠1 (XY1/large-Δ Néel) Phase 2.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@haldane | delegation_invariant | 🟡 asserted | S1XXZ1D(Delta=1) Haldane gap delegates to S1Heisenberg1D | test/models/quantum/Heisenberg/test_s1_xxz1d.jl |
@haldane | delegation_invariant | 🟡 asserted | White 1993 / Wang-Qin-Hu 2012: S=1 Heisenberg Haldane gap ≈ 0.41048 · J (Δ=1 delegation; J-linear scaling) | test/models/quantum/Heisenberg/test_s1_xxz1d.jl |
@haldane | delegation_invariant | 🟡 asserted | White 1993 / Wang-Qin-Hu 2012: S=1 Heisenberg Haldane gap ≈ 0.41048 · J (Δ=1 delegation; J-linear scaling) | test/models/quantum/Heisenberg/test_s1_xxz1d.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(S1XXZ1D(; J = 1.0, Δ = 1.0), MassGap(), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(S1Heisenberg1D(; J = 1.0), MassGap(), Infinite()), agree_within = 1.0e-12, refs = ["S1XXZ1D(Delta=1) Haldane gap delegates to S1Heisenberg1D"])verify(S1XXZ1D(; 1.0 = 1.0, Δ = 1.0), MassGap(), Infinite(); route = :delegation_invariant, independent = 0.41048 * 1.0, agree_within = 0.001, refs = ["White 1993 / Wang-Qin-Hu 2012: S=1 Heisenberg Haldane gap ≈ 0.41048 · J (Δ=1 delegation; J-linear scaling)"])verify(S1XXZ1D(; 2.0 = 2.0, Δ = 1.0), MassGap(), Infinite(); route = :delegation_invariant, independent = 0.41048 * 2.0, agree_within = 0.001, refs = ["White 1993 / Wang-Qin-Hu 2012: S=1 Heisenberg Haldane gap ≈ 0.41048 · J (Δ=1 delegation; J-linear scaling)"])Assurance (provisional)
- level: coherent 🔵
- cards: 3 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.