GitHub

🔵 RiceMele/ExactSpectrum/OBC

Provisional v2 view — RES not wired

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.

Assurance level: coherent

An independent card exists and the value satisfies an internal invariant; no external value re-derives it yet.

src claim

  • method single_particle_diagonalization, status exact, reliability high, refs: RiceMele1982
  • "ALL 2N single-particle energies, not SSH's non-negative half: the OBC ± symmetry " * "holds only while the unit cells are complete."

Corroboration

regimemechanismindependencerefsfile
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε
@sweeplimiting_case🟡 assertedw = 0: the 2N levels are ±√(v²+Δ²), so Σε

Test calls

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

verify(RiceMele(; 1.0, w = 0.0, 0.0), ExactSpectrum(), OBC(4); route = :limiting_case, independent = (2 * 4) * sqrt(1.0 ^ 2 + 0.0 ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 1.0, w = 0.0, 0.0), ExactSpectrum(), OBC(9); route = :limiting_case, independent = (2 * 9) * sqrt(1.0 ^ 2 + 0.0 ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 1.0, w = 0.0, 0.3), ExactSpectrum(), OBC(4); route = :limiting_case, independent = (2 * 4) * sqrt(1.0 ^ 2 + 0.3 ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 1.0, w = 0.0, 0.3), ExactSpectrum(), OBC(9); route = :limiting_case, independent = (2 * 9) * sqrt(1.0 ^ 2 + 0.3 ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 0.4, w = 0.0, 0.9), ExactSpectrum(), OBC(4); route = :limiting_case, independent = (2 * 4) * sqrt(0.4 ^ 2 + 0.9 ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 0.4, w = 0.0, 0.9), ExactSpectrum(), OBC(9); route = :limiting_case, independent = (2 * 9) * sqrt(0.4 ^ 2 + 0.9 ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 2.0, w = 0.0, -0.5), ExactSpectrum(), OBC(4); route = :limiting_case, independent = (2 * 4) * sqrt(2.0 ^ 2 + (-0.5) ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])
verify(RiceMele(; 2.0, w = 0.0, -0.5), ExactSpectrum(), OBC(9); route = :limiting_case, independent = (2 * 9) * sqrt(2.0 ^ 2 + (-0.5) ^ 2), agree_within = 1.0e-10, subject_extract = (s->begin sum(abs, s) end), refs = ["w = 0: the 2N levels are ±√(v²+Δ²), so Σ|ε| = 2N√(v²+Δ²)"])

Assurance (provisional)

  • level: coherent 🔵
  • cards: 8 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: RiceMele · Quantity: ExactSpectrum · Atlas index