GitHub

🟢 DMIHeisenberg1D/Energy/Infinite

Provisional v2 view — RES not wired

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method delegation, reliability high, refs: Bethe-Hulthén 1938 | Dzyaloshinskii 1958 | Moriya 1960 | Affleck-Oshikawa 1999
  • D = 0 delegated to Heisenberg1D Bethe-Hulthén; D ≠ 0 spiral/twisted-XXZ deferred to Phase 2.

Corroboration

regimemechanismindependencerefsfile
@sweepdelegation_invariant🟡 assertedDMIHeisenberg1D(D=0) delegates to Heisenberg1D: independent code pathstest/models/quantum/Heisenberg/test_dmi_heisenberg1d.jl
@sweeped_finite_size🟢 structuralHulthén 1938: e0 = J(1/4 - log 2), spin-1/2 Heisenberg OBC EDtest/models/quantum/Heisenberg/test_dmi_heisenberg1d.jl
@sweepsecond_closed_form🟢 structuralHulthén 1938: at D=0 DMIHeisenberg1D reduces to pure Heisenberg, e₀ = J(1/4 − ln 2)test/models/quantum/Heisenberg/test_dmi_heisenberg1d.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(DMIHeisenberg1D(; J = 1.0, D = 0.0), Energy(:per_site), Infinite(); route = :delegation_invariant, independent = QAtlas.fetch(Heisenberg1D(), GroundStateEnergyDensity(), Infinite()), agree_within = 1.0e-12, refs = ["DMIHeisenberg1D(D=0) delegates to Heisenberg1D: independent code paths"])
verify(DMIHeisenberg1D(; J = 1.0, D = 0.0), Energy(:per_site), Infinite(); route = :ed_finite_size, independent = [(dense_spectrum(chain_hamiltonian(2, N, heis_bond(1.0))))[1] / N for N = Ns], at = ["N=$(N)" for N = Ns], agree_within = 0.1, refs = ["Hulthén 1938: e0 = J(1/4 - log 2), spin-1/2 Heisenberg OBC ED"])
verify(DMIHeisenberg1D(; J = J, D = 0.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = J * (1 / 4 - log(2)), agree_within = 1.0e-14, refs = ["Hulthén 1938: at D=0 DMIHeisenberg1D reduces to pure Heisenberg, e₀ = J(1/4 − ln 2)"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 3 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: DMIHeisenberg1D · Quantity: Energy · Atlas index