IsingTriangular — model index
The 2D classical Ising model on the triangular lattice — exactly solved and in the 2D Ising universality class; its antiferromagnet is geometrically frustrated.
\[H = -J\sum_{\langle i,j\rangle} \sigma_i \sigma_j, \qquad \sigma_i = \pm 1\]
Generated by docs/atlas/generate.jl — 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 — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
All (Quantity, BC) hubs src claims for IsingTriangular. Cells link to the per-hub card; — = not yet implemented at that BC. The shape of the matrix is the gap visualisation: empty cells are where physics could be added next.
Convention
| Field | Value |
|---|---|
| Hamiltonian | see file-header description above |
| Observable | per src/core/quantities.jl (matches the dispatch tag) |
| Reference | docs/src/conventions.md (project-wide convention policy) |
| STATUS | backfilled by PR (audit gate); per-field domain content |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 2 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 8 |
| total claimed hubs | 10 |
Methods (from @register, derived): analytic, delegation
Quantity × BC matrix
Derivation notes
Matched by filename substring (no annotation; substrate-derived):
ad-thermodynamics-from-z.mdising-cft-magnetic-perturbation.mdising-cft-primary-operators.mdising-scaling-relations.md
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [62]
- R. J. Baxter. Exactly Solved Models in Statistical Mechanics (Academic Press, 1982).
- [63]
- R. Houtappel. Order-disorder in hexagonal lattices. Physica 16, 425–455 (1950).
- [42]
- L. Onsager. Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition. Physical Review 65, 117–149 (1944).
- [64]
- G. H. Wannier. Antiferromagnetism. The Triangular Ising Net. Physical Review 79, 357–364 (1950).