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๐Ÿ”ต ExtendedHubbard1D/ChargeGap/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” 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 โ€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: coherent

An independent card exists and the value satisfies an internal invariant; no external value re-derives it yet.

src claim

  • method delegation, status exact, reliability high, refs: LiebWu1968 | Voit1995 | Nakamura2000
  • V=0 delegates to Hubbard1D at half filling (Lieb-Wu integral); Vโ‰ 0 (CDW/SDW/BOW phase diagram) deferred to Phase 2.

Corroboration

regimemechanismindependencerefsfile
@sweepdelegation_invariant๐ŸŸก assertedExtendedHubbard1D at V=0 โ‰ก Lieb-Wu Hubbard1D at half-filling โ‡’ ChargeGap delegation equalitystructural delegation test (1e-12 = float identity vs precomputed Lieb-Wu reference, not physical precision)
@sweepdelegation_invariant๐ŸŸก assertedExtendedHubbard1D at V=0 โ‰ก Lieb-Wu Hubbard1D at half-filling โ‡’ ChargeGap delegation equalitystructural delegation test (1e-12 = float identity vs precomputed Lieb-Wu reference, not physical precision)
@sweepdelegation_invariant๐ŸŸก assertedExtendedHubbard1D at V=0 โ‰ก Lieb-Wu Hubbard1D at half-filling โ‡’ ChargeGap delegation equalitystructural delegation test (1e-12 = float identity vs precomputed Lieb-Wu reference, not physical precision)

Test calls

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

verify(ExtendedHubbard1D(; 1.0 = 1.0, 1.0 = 1.0, V = 0.0), ChargeGap(), Infinite(); route = :delegation_invariant, independent = (Dict((1.0, 1.0) => 0.005026732898582302, (1.0, 4.0) => 1.2867270220129354, (0.5, 4.0) => 2.339758553732098))[(1.0, 1.0)], agree_within = 1.0e-12, refs = ["ExtendedHubbard1D at V=0 โ‰ก Lieb-Wu Hubbard1D at half-filling โ‡’ ChargeGap delegation equality", "structural delegation test (1e-12 = float identity vs precomputed Lieb-Wu reference, not physical precision)"])
verify(ExtendedHubbard1D(; 1.0 = 1.0, 4.0 = 4.0, V = 0.0), ChargeGap(), Infinite(); route = :delegation_invariant, independent = (Dict((1.0, 1.0) => 0.005026732898582302, (1.0, 4.0) => 1.2867270220129354, (0.5, 4.0) => 2.339758553732098))[(1.0, 4.0)], agree_within = 1.0e-12, refs = ["ExtendedHubbard1D at V=0 โ‰ก Lieb-Wu Hubbard1D at half-filling โ‡’ ChargeGap delegation equality", "structural delegation test (1e-12 = float identity vs precomputed Lieb-Wu reference, not physical precision)"])
verify(ExtendedHubbard1D(; 0.5 = 0.5, 4.0 = 4.0, V = 0.0), ChargeGap(), Infinite(); route = :delegation_invariant, independent = (Dict((1.0, 1.0) => 0.005026732898582302, (1.0, 4.0) => 1.2867270220129354, (0.5, 4.0) => 2.339758553732098))[(0.5, 4.0)], agree_within = 1.0e-12, refs = ["ExtendedHubbard1D at V=0 โ‰ก Lieb-Wu Hubbard1D at half-filling โ‡’ ChargeGap delegation equality", "structural delegation test (1e-12 = float identity vs precomputed Lieb-Wu reference, not physical precision)"])

Assurance (provisional)

  • level: coherent ๐Ÿ”ต
  • cards: 3 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: ExtendedHubbard1D ยท Quantity: ChargeGap ยท Atlas index