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๐ŸŸข Hubbard1D/SpinGap/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: LiebWu1968
  • Spinon branch is rigorously gapless at half filling โ€” returns 0.0.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralLieb-Wu 1968 (Bethe ansatz): ฮ”_s = 0 for all U > 0 (gapless spinons by SU(2) symmetry)test/models/quantum/misc/test_hubbard1d.jl
@sweepsecond_closed_form๐ŸŸข structuralLieb-Wu 1968 (Bethe ansatz): ฮ”_s = 0 for all U > 0 (gapless spinons by SU(2) symmetry)test/models/quantum/misc/test_hubbard1d.jl
@sweepsecond_closed_form๐ŸŸข structuralLieb-Wu 1968 (Bethe ansatz): ฮ”_s = 0 for all U > 0 (gapless spinons by SU(2) symmetry)test/models/quantum/misc/test_hubbard1d.jl

Test calls

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

verify(Hubbard1D(; 1.0 = 1.0, 0.5 = 0.5, ฮผ = 0.5 / 2), SpinGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Lieb-Wu 1968 (Bethe ansatz): ฮ”_s = 0 for all U > 0 (gapless spinons by SU(2) symmetry)"])
verify(Hubbard1D(; 1.0 = 1.0, 4.0 = 4.0, ฮผ = 4.0 / 2), SpinGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Lieb-Wu 1968 (Bethe ansatz): ฮ”_s = 0 for all U > 0 (gapless spinons by SU(2) symmetry)"])
verify(Hubbard1D(; 2.0 = 2.0, 8.0 = 8.0, ฮผ = 8.0 / 2), SpinGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Lieb-Wu 1968 (Bethe ansatz): ฮ”_s = 0 for all U > 0 (gapless spinons by SU(2) symmetry)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 3 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: Hubbard1D ยท Quantity: SpinGap ยท Atlas index