Kitaev1D — model index
The Kitaev chain — a 1D spinless $p$-wave superconductor whose topological phase binds unpaired Majorana zero modes at its ends.
\[H = \sum_i \left( -t\, c^\dagger_i c_{i+1} + \Delta\, c_i c_{i+1} + \text{h.c.} \right) - \mu\sum_i c^\dagger_i c_i\]
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 Kitaev1D. 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 | 6 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 4 |
| total claimed hubs | 10 |
Methods (from @register, derived): analytic, bdg, pfaffian
Quantity × BC matrix
| Quantity | OBC | Infinite |
|---|---|---|
CorrelationLength | — | 🟢 hub |
EdgeModeEnergy | 🟢 hub | — |
Energy | — | 🟢 hub |
FreeEnergy | — | 🟠 hub |
MassGap | 🟢 hub | 🟢 hub |
SpecificHeat | — | 🟠 hub |
ThermalEntropy | — | 🟠 hub |
TopologicalInvariant | — | 🟢 hub |
UniversalityClass | — | 🟠 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [165]
- J. Alicea. New directions in the pursuit of Majorana fermions in solid state systems. Reports on Progress in Physics 75, 076501 (2012).
- [166]
- J. K. Asbóth, L. Oroszlány and A. Pályi. A Short Course on Topological Insulators (2016).
- [161]
- A. Y. Kitaev. Unpaired Majorana fermions in quantum wires. Physics-Uspekhi 44, 131–136 (2001).