๐ต Hubbard1D/ChargeGap/Infinite
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.
An independent card exists and the value satisfies an internal invariant; no external value re-derives it yet.
src claim
- method
bethe_ansatz, reliabilityhigh, refs: Lieb-Wu PRL 20, 1445 (1968) | Essler et al. (2005) - Lieb-Wu integral ฮ_c = (16tยฒ/U) โซโ^โ โ(ฯยฒ-1)/sinh(2ฯtฯ/U) dฯ at half filling.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | limiting_case | ๐ก asserted | Lieb-Wu 1968 / Essler et al. 2005 Eq. 6.A.66: ฮ_c โ U - 4t + 8tยฒln(2)/U as U โ โ | test/models/quantum/misc/test_hubbard1d.jl |
@sweep | limiting_case | ๐ก asserted | Lieb-Wu 1968: ฮc โ 0 as U โ 0 with exponential form ฮc โ exp(-2ฯ t / U) | 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(; t = t, U = U, ฮผ = U / 2), ChargeGap(), Infinite(); route = :limiting_case, independent = asymptote, agree_within = 0.02, refs = ["Lieb-Wu 1968 / Essler et al. 2005 Eq. 6.A.66: ฮ_c โ U - 4t + 8tยฒln(2)/U as U โ โ"])verify(Hubbard1D(; t = t, U = U, ฮผ = U / 2), ChargeGap(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 0.0001, refs = ["Lieb-Wu 1968: ฮ_c โ 0 as U โ 0 with exponential form ฮ_c โ exp(-2ฯ t / U)"])Assurance (provisional)
- level: coherent ๐ต
- cards: 2 ยท model ED-feasible
- RES not wired โ measured residuals / confidence are not shown yet.