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šŸŸ¢ TightBindingV1D/MassGap/Infinite

Provisional v2 view ā€” RES not wired

Generated by docs/atlas/generate.jl ā€” 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 ā€” 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 analytic, reliability high, refs: Yang-Yang 1966 | Ashcroft-Mermin 1976
  • V=0 free-fermion gap = max(0, |Ī¼|-2t); Vā‰ 0 (JW XXZ) deferred to Phase 2.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_formšŸŸ¢ structuralV=0 half-filled chain: gapless Fermi surfacetest/models/quantum/misc/test_tight_binding_v1d.jl
@sweepsecond_closed_formšŸŸ¢ structuralV=0, Ī¼>2t: band-insulator gap =Ī¼

Test calls

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

verify(TightBindingV1D(), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["V=0 half-filled chain: gapless Fermi surface"])
verify(TightBindingV1D(; Ī¼ = 3.0), MassGap(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-9, refs = ["V=0, Ī¼>2t: band-insulator gap = |Ī¼| - 2t"])

Assurance (provisional)

  • level: corroborated-at-p šŸŸ¢
  • cards: 2 Ā· model ED-feasible
  • RES not wired ā€” measured residuals / confidence are not shown yet.

ā† Model: TightBindingV1D Ā· Quantity: MassGap Ā· Atlas index