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๐ŸŸข XXZ1D/NMRRelaxationExponent/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” 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 โ€” 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: ChitraGiamarchi1997 | Giamarchi2003
  • Leading ฮธNMR = 1/(2K) - 1 (dominant transverse staggered channel, ฮ”op = 1/(4K)) in the critical Luttinger liquid regime -1 < ฮ” โ‰ค 1; ChitraGiamarchi1997 Eq.27. Subdominant longitudinal channel gives T^{2K-1}.

Corroboration

regimemechanismindependencerefsfile
@free_fermionsecond_closed_form๐ŸŸข structuralSachdev 1994 (doi:10.1103/PhysRevB.50.13006) / Chitra & Giamarchi 1997 (doi:10.1103/PhysRevB.55.5816) Eq.27: leading 1/T1 โˆ T^{1/(2K)-1}; at the XX free-fermion point K=1 โ‡’ ฮธNMR = -1/2 (T^{-1/2} divergence).test/models/quantum/XXZ/test_XXZ1D.jl

Test calls

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

verify(XXZ1D(; J = 1.0, ฮ” = 0.0), NMRRelaxationExponent(), Infinite(); route = :second_closed_form, independent = -0.5, agree_within = 1.0e-12, refs = ["Sachdev 1994 (doi:10.1103/PhysRevB.50.13006) / Chitra & Giamarchi 1997 (doi:10.1103/PhysRevB.55.5816) Eq.27: leading 1/T_1 โˆ T^{1/(2K)-1}; at the XX free-fermion point K=1 โ‡’ ฮธ_NMR = -1/2 (T^{-1/2} divergence)."])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 1 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: XXZ1D ยท Quantity: NMRRelaxationExponent ยท Atlas index