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๐ŸŸข Compass1D/MassGap/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: BrzezickiDziarmagaOles2007 | KugelKhomskii1982 | Kitaev2006
  • ฮ” = 2|Jx โˆ’ Jy| from JW-dual dimerised Kitaev chain; ฮ”=0 at Jx=Jy is a first-order QPT.

Corroboration

regimemechanismindependencerefsfile
@anisotropicsecond_closed_form๐ŸŸข structural1D compass model gap = 2Jx - Jy
@anisotropicsecond_closed_form๐ŸŸข structural1D compass model gap = 2Jx - Jy
@anisotropicsecond_closed_form๐ŸŸข structuralBrzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2Jx - Jy
@anisotropicsecond_closed_form๐ŸŸข structuralBrzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2Jx - Jy
@anisotropicsecond_closed_form๐ŸŸข structuralBrzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2Jx - Jy
@anisotropicsecond_closed_form๐ŸŸข structuralBrzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2Jx - Jy
@isotropicsecond_closed_form๐ŸŸข structural1D compass model gap = 2Jx - Jy
@isotropicsecond_closed_form๐ŸŸข structuralBrzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2Jx - Jy

Test calls

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

verify(Compass1D(; J_x = 1.0, J_y = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(1.0 - 0.5), agree_within = 1.0e-10, refs = ["1D compass model gap = 2|J_x - J_y|"])
verify(Compass1D(; J_x = 2.0, J_y = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(2.0 - 0.5), agree_within = 1.0e-10, refs = ["1D compass model gap = 2|J_x - J_y|"])
verify(Compass1D(; J_x = 1.0, J_y = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(1.0 - 0.5), agree_within = 1.0e-12, refs = ["Brzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2|J_x - J_y| (JW-dual dimerised Kitaev chain)"])
verify(Compass1D(; J_x = 1.0, J_y = 2.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(1.0 - 2.0), agree_within = 1.0e-12, refs = ["Brzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2|J_x - J_y| (JW-dual dimerised Kitaev chain)"])
verify(Compass1D(; J_x = 0.7, J_y = 0.3), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(0.7 - 0.3), agree_within = 1.0e-12, refs = ["Brzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2|J_x - J_y| (JW-dual dimerised Kitaev chain)"])
verify(Compass1D(; J_x = 2.0, J_y = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(2.0 - 1.0), agree_within = 1.0e-12, refs = ["Brzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2|J_x - J_y| (JW-dual dimerised Kitaev chain)"])
verify(Compass1D(; J_x = 1.0, J_y = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(1.0 - 1.0), agree_within = 1.0e-10, refs = ["1D compass model gap = 2|J_x - J_y|"])
verify(Compass1D(; J_x = 1.0, J_y = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * abs(1.0 - 1.0), agree_within = 1.0e-12, refs = ["Brzezicki-Dziarmaga-Oles 2007 PRB 75 134415: ฮ” = 2|J_x - J_y| (JW-dual dimerised Kitaev chain)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 8 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: Compass1D ยท Quantity: MassGap ยท Atlas index