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šŸŸ¢ Hubbard1D/LuttingerParameter/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: LiebWu1968 | Voit1995
  • K=1 at U=0 free-fermion limit; finite-U Lieb-Wu Bethe ansatz KĻ, KĻƒ deferred Phase 2.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_formšŸŸ¢ structuralAt U=0 the Hubbard model is a free spinful fermion at half-filling (Ī¼ = U/2 = 0) ā‡’ both Luttinger parameters KĻ = KĻƒ = 1 (free-boson value, spin-charge separated free chains)test/models/quantum/misc/test_hubbard1d_luttinger_U0_batch.jl
@sweepsecond_closed_formšŸŸ¢ structuralAt U=0 the Hubbard model is a free spinful fermion at half-filling (Ī¼ = U/2 = 0) ā‡’ both Luttinger parameters KĻ = KĻƒ = 1 (free-boson value, spin-charge separated free chains)test/models/quantum/misc/test_hubbard1d_luttinger_U0_batch.jl
@sweepsecond_closed_formšŸŸ¢ structuralAt U=0 the Hubbard model is a free spinful fermion at half-filling (Ī¼ = U/2 = 0) ā‡’ both Luttinger parameters KĻ = KĻƒ = 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(; 0.5 = 0.5, U = 0.0, Ī¼ = 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 (Ī¼ = U/2 = 0) ā‡’ both Luttinger parameters K_Ļ = K_Ļƒ = 1 (free-boson value, spin-charge separated free chains)"])
verify(Hubbard1D(; 1.0 = 1.0, U = 0.0, Ī¼ = 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 (Ī¼ = U/2 = 0) ā‡’ both Luttinger parameters K_Ļ = K_Ļƒ = 1 (free-boson value, spin-charge separated free chains)"])
verify(Hubbard1D(; 2.0 = 2.0, U = 0.0, Ī¼ = 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 (Ī¼ = U/2 = 0) ā‡’ both Luttinger parameters K_Ļ = K_Ļƒ = 1 (free-boson value, spin-charge separated free chains)"])

Assurance (provisional)

  • level: corroborated-at-p šŸŸ¢
  • cards: 3 Ā· model ED-feasible
  • RES not wired ā€” measured residuals / confidence are not shown yet.

ā† Model: Hubbard1D Ā· Quantity: LuttingerParameter Ā· Atlas index