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๐ŸŸข SixVertex/FreeEnergy/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: Lieb1967a | Lieb1967b | Lieb1967c | Sutherland1967 | Baxter1982
  • FE phase (ฮ” > 1): f = -log max(a, b). Disordered phase (|ฮ”| <= 1): Lieb-Sutherland trigonometric integral. AFE phase (ฮ” < -1): Lieb elliptic sum.

Corroboration

regimemechanismindependencerefsfile
@sweeped_finite_size๐ŸŸข structuralIndependent six-vertex transfer matrix f = -ln ฮ›_max(W)/W (sparse Lanczos, Richardson 1/Wยฒ to Wโ†’โˆž); orthogonal to the src Lieb/Sutherland 1967 quadgk integral. Square-ice calibration reproduces -(3/2)log(4/3) to ~3e-5.test/models/classical/test_six_vertex.jl
@sweeplieb_ferroelectric๐ŸŸก assertedLieb 1967c Phys. Rev. Lett. 19, 108: KDP/FE phase f = -log max(a,b) (frozen GS)test/models/classical/test_six_vertex.jl
@sweeplieb_ferroelectric๐ŸŸก assertedLieb 1967c: FE-phase f = -log max(a,b); aโ†”b symmetrytest/models/classical/test_six_vertex.jl
@sweeplieb_ferroelectric๐ŸŸก assertedLieb 1967c: FE-phase f = -log max(a,b)test/models/classical/test_six_vertex.jl
@sweeplieb_ferroelectric๐ŸŸก assertedLieb 1967c: KDP boundary ฮ”=1 approached from FE side; f = -log max(a,b)test/models/classical/test_six_vertex.jl
@sweeplieb_square_ice๐ŸŸก assertedLieb 1967a Phys. Rev. 162: square-ice f = -(3/2) log(4/3)test/models/classical/test_six_vertex.jl

Test calls

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

verify(SixVertex(; a = 1.0, b = 1.0, c = 0.5), FreeEnergy(), Infinite(); route = :ed_finite_size, independent = _sixvertex_tm_f(1.0, 1.0, 0.5), agree_within = 0.001, refs = ["Independent six-vertex transfer matrix f = -ln ฮ›_max(W)/W (sparse Lanczos, Richardson 1/Wยฒ to Wโ†’โˆž); orthogonal to the src Lieb/Sutherland 1967 quadgk integral. Square-ice calibration reproduces -(3/2)log(4/3) to ~3e-5."])
verify(SixVertex(; a = 3.0, b = 1.0, c = 1.0), FreeEnergy(), Infinite(); route = :lieb_ferroelectric, independent = -(log(3.0)), agree_within = 1.0e-14, refs = ["Lieb 1967c Phys. Rev. Lett. 19, 108: KDP/FE phase f = -log max(a,b) (frozen GS)"])
verify(SixVertex(; a = 1.0, b = 3.0, c = 1.0), FreeEnergy(), Infinite(); route = :lieb_ferroelectric, independent = -(log(3.0)), agree_within = 1.0e-14, refs = ["Lieb 1967c: FE-phase f = -log max(a,b); aโ†”b symmetry"])
verify(SixVertex(; a = 2.0, b = 4.0, c = 1.0), FreeEnergy(), Infinite(); route = :lieb_ferroelectric, independent = -(log(4.0)), agree_within = 1.0e-14, refs = ["Lieb 1967c: FE-phase f = -log max(a,b)"])
verify(SixVertex(; a = nextfloat(2.0), b = 1.0, c = 1.0), FreeEnergy(), Infinite(); route = :lieb_ferroelectric, independent = -(log(nextfloat(2.0))), agree_within = 1.0e-14, refs = ["Lieb 1967c: KDP boundary ฮ”=1 approached from FE side; f = -log max(a,b)"])
verify(SixVertex(; a = 1.0, b = 1.0, c = 1.0), FreeEnergy(), Infinite(); route = :lieb_square_ice, independent = -(3 / 2) * log(4 / 3), agree_within = 1.0e-14, refs = ["Lieb 1967a Phys. Rev. 162: square-ice f = -(3/2) log(4/3)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 6 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: SixVertex ยท Quantity: FreeEnergy ยท Atlas index