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šŸŸ¢ RiceMele/CorrelationLength/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, status exact, reliability high, refs: RiceMele1982
  • Ī¾ = 1/āˆš((|v|āˆ’|w|)Ā² + Ī”Ā²). Finite for every Ī” ā‰  0, unlike SSH on |v| = |w|.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_formšŸŸ¢ structuralĪ¾ = 1/gap, with the gap taken from the same grid minimumtest/models/quantum/misc/test_ricemele.jl
@sweepsecond_closed_formšŸŸ¢ structuralĪ¾ = 1/gap, with the gap taken from the same grid minimumtest/models/quantum/misc/test_ricemele.jl
@sweepsecond_closed_formšŸŸ¢ structuralĪ¾ = 1/gap, with the gap taken from the same grid minimumtest/models/quantum/misc/test_ricemele.jl
@sweepsecond_closed_formšŸŸ¢ structuralĪ¾ = 1/gap, with the gap taken from the same grid minimumtest/models/quantum/misc/test_ricemele.jl
@sweepsecond_closed_formšŸŸ¢ structuralĪ¾ = 1/gap, with the gap taken from the same grid minimumtest/models/quantum/misc/test_ricemele.jl
@sweepsecond_closed_formšŸŸ¢ structuralĪ¾ = 1/gap, with the gap taken from the same grid minimumtest/models/quantum/misc/test_ricemele.jl

Test calls

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

verify(RiceMele(; 0.75, 0.25, 0.1), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / minimum((sqrt(0.75 ^ 2 + 0.25 ^ 2 + 2 * 0.75 * 0.25 * cos(k) + 0.1 ^ 2) for k = range(-Ļ€, Ļ€; length = 400001))), agree_within = 1.0e-8, refs = ["Ī¾ = 1/gap, with the gap taken from the same grid minimum"])
verify(RiceMele(; 0.25, 0.75, 0.1), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / minimum((sqrt(0.25 ^ 2 + 0.75 ^ 2 + 2 * 0.25 * 0.75 * cos(k) + 0.1 ^ 2) for k = range(-Ļ€, Ļ€; length = 400001))), agree_within = 1.0e-8, refs = ["Ī¾ = 1/gap, with the gap taken from the same grid minimum"])
verify(RiceMele(; 1.0, 1.0, 0.3), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / minimum((sqrt(1.0 ^ 2 + 1.0 ^ 2 + 2 * 1.0 * 1.0 * cos(k) + 0.3 ^ 2) for k = range(-Ļ€, Ļ€; length = 400001))), agree_within = 1.0e-8, refs = ["Ī¾ = 1/gap, with the gap taken from the same grid minimum"])
verify(RiceMele(; -0.5, 0.7, 0.2), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / minimum((sqrt((-0.5) ^ 2 + 0.7 ^ 2 + 2 * -0.5 * 0.7 * cos(k) + 0.2 ^ 2) for k = range(-Ļ€, Ļ€; length = 400001))), agree_within = 1.0e-8, refs = ["Ī¾ = 1/gap, with the gap taken from the same grid minimum"])
verify(RiceMele(; 0.6, -1.0, -0.4), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / minimum((sqrt(0.6 ^ 2 + (-1.0) ^ 2 + 2 * 0.6 * -1.0 * cos(k) + (-0.4) ^ 2) for k = range(-Ļ€, Ļ€; length = 400001))), agree_within = 1.0e-8, refs = ["Ī¾ = 1/gap, with the gap taken from the same grid minimum"])
verify(RiceMele(; 1.0, 0.0, 0.5), CorrelationLength(), Infinite(); route = :second_closed_form, independent = 1 / minimum((sqrt(1.0 ^ 2 + 0.0 ^ 2 + 2 * 1.0 * 0.0 * cos(k) + 0.5 ^ 2) for k = range(-Ļ€, Ļ€; length = 400001))), agree_within = 1.0e-8, refs = ["Ī¾ = 1/gap, with the gap taken from the same grid minimum"])

Assurance (provisional)

  • level: corroborated-at-p šŸŸ¢
  • cards: 6 Ā· model ED-feasible
  • RES not wired ā€” measured residuals / confidence are not shown yet.

ā† Model: RiceMele Ā· Quantity: CorrelationLength Ā· Atlas index