KitaevHoneycomb — model index
The Kitaev honeycomb model — an exactly-solvable bond-dependent spin model realizing a $\mathbb{Z}_2$ quantum spin liquid with emergent Majorana fermions.
\[H = -\sum_{\langle i,j\rangle_\gamma} J_\gamma\, \sigma^\gamma_i \sigma^\gamma_j, \qquad \gamma \in \{x,y,z\}\]
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 KitaevHoneycomb. 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 | 5 |
| ⚪ cited-only | 4 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 10 |
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, matter_free_fermion
Quantity × BC matrix
| Quantity | OBC | PBC | Infinite |
|---|---|---|---|
Energy | ⚪ hub | ⚪ hub | ⚪ hub |
FreeEnergy | ⚪ hub | — | 🔵 hub |
MassGap | — | — | 🟢 hub |
SpecificHeat | 🔵 hub | — | 🔵 hub |
ThermalEntropy | 🔵 hub | — | 🔵 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).
- [23]
- E. H. Lieb. Flux Phase of the Half-Filled Band. Physical Review Letters 73, 2158–2161 (1994).