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🟒 TightBinding1D/NMRSpinRelaxationRate/Infinite

Provisional v2 view β€” RES not wired

Generated by docs/atlas/generate.jl β€” 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 β€” 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 approx, reliability medium, refs: Korringa1950
  • Ξ·-regularized free-fermion (Korringa-type) golden-rule rate 1/T₁(Ξ²,Ξ·) = (1/π³)βˆ«β‚€^Ο€βˆ«β‚€^Ο€ f(Ρ₁)(1-f(Ξ΅β‚‚)) Ξ·/((Ρ₁-Ξ΅β‚‚)Β²+Ξ·Β²) dk₁dkβ‚‚ β€” the q-summed dynamic structure factor S(q,Ο‰β†’0) of the 1D tight-binding band, Lorentzian-broadened by Ξ·. Evaluated by nested QuadGK (rtol=1e-6); verified against an independent discrete N-mode k-sum and the Ξ²β†’0 ΒΌ-factorisation.

Corroboration

regimemechanismindependencerefsfile
@half_fillinged_finite_size🟒 structuralKorringa 1950 (doi:10.1016/0031-8914(50)90105-4): free-fermion golden-rule 1/T₁ ∝ q-summed S(q,Ο‰β†’0); cross-checked by a discrete N=400 k-mode sum β†’ continuum.test/models/quantum/misc/test_tight_binding1d.jl
@half_fillinged_finite_size🟒 structuralKorringa 1950 (doi:10.1016/0031-8914(50)90105-4): free-fermion golden-rule 1/T₁ ∝ q-summed S(q,Ο‰β†’0); cross-checked by a discrete N=400 k-mode sum β†’ continuum.test/models/quantum/misc/test_tight_binding1d.jl
@half_fillinged_finite_size🟒 structuralKorringa 1950 (doi:10.1016/0031-8914(50)90105-4): free-fermion golden-rule 1/T₁ ∝ q-summed S(q,Ο‰β†’0); cross-checked by a discrete N=400 k-mode sum β†’ continuum.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(; t = 1.0, ΞΌ = 0.0), NMRSpinRelaxationRate(), Infinite(); route = :ed_finite_size, fetch_kw = (; beta = 1.0, eta = 0.1), independent = _tb1d_nmr_kmode_sum(1.0, 0.0, 1.0, 0.1; N = 400), agree_within = 1.0e-5, refs = ["Korringa 1950 (doi:10.1016/0031-8914(50)90105-4): free-fermion golden-rule 1/T₁ ∝ q-summed S(q,Ο‰β†’0); cross-checked by a discrete N=400 k-mode sum β†’ continuum."])
verify(TightBinding1D(; t = 1.0, ΞΌ = 0.0), NMRSpinRelaxationRate(), Infinite(); route = :ed_finite_size, fetch_kw = (; beta = 0.5, eta = 0.2), independent = _tb1d_nmr_kmode_sum(1.0, 0.0, 0.5, 0.2; N = 400), agree_within = 1.0e-5, refs = ["Korringa 1950 (doi:10.1016/0031-8914(50)90105-4): free-fermion golden-rule 1/T₁ ∝ q-summed S(q,Ο‰β†’0); cross-checked by a discrete N=400 k-mode sum β†’ continuum."])
verify(TightBinding1D(; t = 1.0, ΞΌ = 0.0), NMRSpinRelaxationRate(), Infinite(); route = :ed_finite_size, fetch_kw = (; beta = 2.0, eta = 0.1), independent = _tb1d_nmr_kmode_sum(1.0, 0.0, 2.0, 0.1; N = 400), agree_within = 1.0e-5, refs = ["Korringa 1950 (doi:10.1016/0031-8914(50)90105-4): free-fermion golden-rule 1/T₁ ∝ q-summed S(q,Ο‰β†’0); cross-checked by a discrete N=400 k-mode sum β†’ continuum."])

Assurance (provisional)

  • level: corroborated-at-p 🟒
  • cards: 3 Β· model ED-feasible
  • RES not wired β€” measured residuals / confidence are not shown yet.

← Model: TightBinding1D Β· Quantity: NMRSpinRelaxationRate Β· Atlas index