ExtendedHubbard1D — model index
1D t-U-V Hubbard chain (nearest-neighbour-density extension of the standard Hubbard model):
H = -t Σ_{i, σ} (c†_{i,σ} c_{i+1,σ} + h.c.)
+ U Σ_i n_{i,↑} n_{i,↓}
+ V Σ_i n_i n_{i+1}.
Δ_c = (16 t² / U) ∫_1^∞ dω √(ω² - 1) / sinh(2π t ω / U).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 ExtendedHubbard1D. 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 | 0 |
| 🔵 coherent | 1 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 1 |
Methods (from @register, derived): delegation
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
ChargeGap | 🔵 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [59]
- E. H. Lieb and F. Y. Wu. Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension. Physical Review Letters 20, 1445–1448 (1968).
- [60]
- M. Nakamura. Tricritical behavior in the extended Hubbard chains. Physical Review B 61, 16377–16392 (2000).
- [61]
- J. Voit. One-dimensional Fermi liquids. Reports on Progress in Physics 58, 977–1116 (1995).