PpIp2DSC — model index
2-D px + i py chiral superconductor (Read–Green 2000) for spinless fermions, with BCS pairing amplitude Δ₀ > 0 and chemical potential μ > 0 (weak-pairing topological phase).
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 PpIp2DSC. 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 | Fermion bilinears c†c |
| Observable | Fermion (number n = c†c, bilinear ⟨c†i cj⟩); derived spin observables follow spin S = σ/2 |
| Reference | docs/src/conventions.md §Fermion convention |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 2 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 2 |
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 |
|---|---|
CentralCharge | 🟢 hub |
TopologicalInvariant | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [18]
- A. Kitaev. Anyons in an exactly solved model and beyond. Annals of Physics 321, 2–111 (2006).
- [121]
- N. Read and D. Green. Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect. Physical Review B 61, 10267–10297 (2000).