AKLT2D — model index
2D honeycomb-lattice Affleck-Kennedy-Lieb-Tasaki (AKLT) spin-3/2 valence-bond-solid model. Frustration-free Hamiltonian whose unique gapped VBS ground state has exact energy density e0/N = 0 (J-independent); the 2D AKLT phase is the prototypical 2D symmetry-protected topological (SPT) state. See file header for full references.
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 AKLT2D. 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 |
This model is in ED_INFEASIBLE_MODELS (true 2D / frontier). Its cited-only hubs are the published ceiling, not an actionable gap.
Methods (from @register, derived): analytic
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.
- [55]
- I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki. Valence bond ground states in isotropic quantum antiferromagnets. Communications in Mathematical Physics 115, 477–528 (1988).
- [173]
- F. Verstraete and J. I. Cirac. Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.