🟢 Kitaev1D/MassGap/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: Kitaev 2001 | Alicea 2012 - Closed-form min over k of √((2t cos k + μ)² + 4Δ² sin² k).
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@critical | second_closed_form | 🟢 structural | Kitaev chain topological transition at | μ |
@topological | second_closed_form | 🟢 structural | Kitaev chain sweet spot: gap = 2 | Δ |
@trivial | second_closed_form | 🟢 structural | Kitaev chain trivial phase: gap = |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(Kitaev1D(; μ = 2.0, t = 1.0, Δ = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-9, refs = ["Kitaev chain topological transition at |μ|=2|t|: gap = 0"])verify(Kitaev1D(; μ = 0.0, t = 1.0, Δ = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2.0, agree_within = 1.0e-9, refs = ["Kitaev chain sweet spot: gap = 2|Δ|"])verify(Kitaev1D(; μ = 3.0, t = 1.0, Δ = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-9, refs = ["Kitaev chain trivial phase: gap = ||μ| - 2|t||"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 3 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.