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šŸŸ¢ TightBinding1D/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: Ashcroft-Mermin 1976
  • Ī” = max(0, |Ī¼| - 2t); gapless for |Ī¼| ā‰¤ 2t (metallic).

Corroboration

regimemechanismindependencerefsfile
@band_insulatorsecond_closed_formšŸŸ¢ structuralBand insulator mu > 2t: gap =mu
@half_fillingsecond_closed_formšŸŸ¢ structuralHalf filling: gapless Fermi surfacetest/models/quantum/misc/test_tight_binding1d.jl

Test calls

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

verify(TightBinding1D(; t = 1.0, Ī¼ = 3.0), MassGap(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-9, refs = ["Band insulator mu > 2t: gap = |mu| - 2t"])
verify(TightBinding1D(; t = 1.0, Ī¼ = 0.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["Half filling: gapless Fermi surface"])

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: TightBinding1D Ā· Quantity: MassGap Ā· Atlas index