TightBindingV1D — model index
1D spinless-fermion t-V chain (NN hopping t > 0, NN density-density interaction V, chemical potential μ). At V = 0 the model is the free-fermion tight-binding chain; at V ≠ 0 it is Jordan-Wigner equivalent to the spin-1/2 XXZ chain (Phase 2).
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 TightBindingV1D. 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 | 3 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 3 |
| total claimed hubs | 6 |
Methods (from @register, derived): analytic
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
Energy | 🟢 hub |
FermiVelocity | 🟢 hub |
FreeEnergy | 🟠 hub |
MassGap | 🟢 hub |
SpecificHeat | 🟠 hub |
ThermalEntropy | 🟠 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).
- [112]
- G. D. Mahan. Many-Particle Physics (Springer US, 2000).
- [94]
- C. N. Yang and C. P. Yang. One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System. Physical Review 150, 327–339 (1966).