🟢 TightBinding1D/FermiVelocity/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.
src claim
- method
analytic, reliabilityhigh, refs: Ashcroft-Mermin 1976 - vF = 2t sin(kF) = 2t√(1 - μ²/(4t²)); returns 0 in gapped phase |μ| ≥ 2t (no Fermi surface; convention).
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | 🟢 structural | Ashcroft-Mermin 1976: vF = 2 t sin(kF); μ=0 half-filling | test/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(), FermiVelocity(), Infinite(); route = :second_closed_form, independent = 2.0, agree_within = 1.0e-12, refs = ["Ashcroft-Mermin 1976: v_F = 2 t sin(k_F); μ=0 half-filling"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 1 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.
← Model: TightBinding1D · Quantity: FermiVelocity · Atlas index