Compass1D — model index
1D alternating-bond compass chain
H = -J_x Σ_{i odd} σ^x_i σ^x_{i+1}
-J_y Σ_{i even} σ^y_i σ^y_{i+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 Compass1D. 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 | Pauli σ (this file) |
| Observable | Spin S = σ/2 (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): analytic
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
MassGap | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [17]
- W. Brzezicki, J. Dziarmaga and A. M. Oleś. Quantum phase transition in the one-dimensional compass model. Physical Review B 75 (2007).
- [18]
- A. Kitaev. Anyons in an exactly solved model and beyond. Annals of Physics 321, 2–111 (2006).
- [19]
- K. I. Kugel' and D. I. Khomskiĭ. The Jahn-Teller effect and magnetism: transition metal compounds. Soviet Physics Uspekhi 25, 231–256 (1982).