TightBinding1D — model index
1D non-interacting spinless-fermion chain.
H = -t Σᵢ (c†ᵢ c_{i+1} + h.c.) - μ Σᵢ c†ᵢ cᵢGenerated 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 TightBinding1D. 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 | 4 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 15 |
| total claimed hubs | 19 |
Methods (from @register, derived): analytic
Quantity × BC matrix
| Quantity | OBC | PBC | Infinite |
|---|---|---|---|
Energy | 🟠 hub | 🟠 hub | 🟢 hub |
FermiVelocity | — | — | 🟢 hub |
FreeEnergy | 🟠 hub | 🟠 hub | 🟠 hub |
MassGap | 🟠 hub | 🟠 hub | 🟢 hub |
NMRSpinRelaxationRate | 🟠 hub | 🟠 hub | 🟢 hub |
SpecificHeat | 🟠 hub | 🟠 hub | 🟠 hub |
ThermalEntropy | 🟠 hub | 🟠 hub | 🟠 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [174]
- N. W. Ashcroft and N. D. Mermin. Solid State Physics (Holt, Rinehart and Winston, 1976).
- [111]
- P. Coleman. Introduction to Many-Body Physics (Cambridge University Press, 2015).
- [185]
- J. Korringa. Nuclear magnetic relaxation and resonance line shift in metals. Physica 16, 601–610 (1950).
- [112]
- G. D. Mahan. Many-Particle Physics (Springer US, 2000).