S1XXZ1D — model index
Spin-1 antiferromagnetic XXZ chain,
H = J Σᵢ [Sˣᵢ Sˣᵢ₊₁ + Sʸᵢ Sʸᵢ₊₁ + Δ Sᶻᵢ Sᶻᵢ₊₁], S = 1, J > 0.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 S1XXZ1D. 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 | 0 |
| 🔵 coherent | 2 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 2 |
Methods (from @register, derived): s1_heisenberg_delegation
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
Energy | 🔵 hub |
MassGap | 🔵 hub |
Derivation notes
Matched by filename substring (no annotation; substrate-derived):
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [157]
- H. J. Schulz. Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin quantum number. Physical Review B 34, 6372–6385 (1986).
- [78]
- Y.-C. Tzeng and M.-F. Yang. Scaling properties of fidelity in the spin-1 anisotropic model. Physical Review A 77 (2008).
- [79]
- S. R. White and D. A. Huse. Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic $S=1$ Heisenberg chain. Physical Review B 48, 3844–3852 (1993).