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๐ŸŸข Hubbard1D/LuttingerParameter/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, reliability high, refs: Lieb-Wu PRL 20, 1445 (1968) | Voit Rep. Prog. Phys. 58, 977 (1995)
  • K=1 at U=0 free-fermion limit; finite-U Lieb-Wu Bethe ansatz Kฯ, Kฯƒ deferred Phase 2.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralAt U=0 the Hubbard model is a free spinful fermion at half-filling (ฮผ = U/2 = 0) โ‡’ both Luttinger parameters Kฯ = Kฯƒ = 1 (free-boson value, spin-charge separated free chains)test/models/quantum/misc/test_hubbard1d_luttinger_U0_batch.jl

Test calls

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

verify(Hubbard1D(; t = t, U = 0.0, ฮผ = 0.0), LuttingerParameter(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-14, refs = ["At U=0 the Hubbard model is a free spinful fermion at half-filling (ฮผ = U/2 = 0) โ‡’ both Luttinger parameters K_ฯ = K_ฯƒ = 1 (free-boson value, spin-charge separated free chains)"])

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: Hubbard1D ยท Quantity: LuttingerParameter ยท Atlas index