DMIHeisenberg1D — model index
Spin-½ Heisenberg chain with Dzyaloshinskii-Moriya interaction along ẑ:
H = J Σ_i Sᵢ · Sᵢ₊₁ + D Σ_i (Sᵢˣ Sᵢ₊₁ʸ − Sᵢʸ Sᵢ₊₁ˣ), J > 0, D ∈ ℝ.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 DMIHeisenberg1D. 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 | Spin S (this file) |
| Observable | Spin S (QAtlas-wide spin convention; see docs/src/conventions.md) |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 1 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 1 |
Methods (from @register, derived): delegation
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
Energy | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [158]
- I. Affleck and M. Oshikawa. Field-induced gap in Cu benzoate and other $S=1/2$ antiferromagnetic chains. Physical Review B 60, 1038–1056 (1999).
- [159]
- I. Dzyaloshinsky. A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics. Journal of Physics and Chemistry of Solids 4, 241–255 (1958).
- [87]
- L. Hulthén. Über das Austauschproblem eines Kristalles. Arkiv för Matematik, Astronomi och Fysik 26A, 1–106 (1938).
- [160]
- T. Moriya. Anisotropic Superexchange Interaction and Weak Ferromagnetism. Physical Review 120, 91–98 (1960).