Hubbard1D — model index
The 1D Hubbard model — the minimal lattice model of interacting electrons, Lieb-Wu Bethe-ansatz solvable; a Mott insulator with spin-charge separation at half filling.
\[H = -t\sum_{i,\sigma} \left( c^\dagger_{i\sigma} c_{i+1\sigma} + \text{h.c.} \right) + U\sum_i n_{i\uparrow} n_{i\downarrow}\]
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 Hubbard1D. 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 | 2 |
| 🔵 coherent | 2 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 3 |
| total claimed hubs | 7 |
Methods (from @register, derived): analytic, bethe_ansatz, jks_qtm_nlie
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
ChargeGap | 🔵 hub |
Energy | 🟠 hub |
FreeEnergy | 🟠 hub |
GroundStateEnergyDensity | 🔵 hub |
LuttingerParameter | 🟢 hub |
MassGap | 🟠 hub |
SpinGap | 🟢 hub |
Derivation notes
Matched by filename substring (no annotation; substrate-derived):
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [100]
- F. H. Essler, H. Frahm, F. Göhmann, A. Klümper and V. E. Korepin. The One-Dimensional Hubbard Model (2005).
- [101]
- G. Jüttner, A. Klümper and J. Suzuki. The Hubbard chain at finite temperatures: ab initio calculations of Tomonaga-Luttinger liquid properties. Nuclear Physics B 522, 471–502 (1998), arXiv:cond-mat/9711310.
- [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).
- [102]
- A. A. Ovchinnikov. Excitation spectrum in the one-dimensional Hubbard model. Soviet Physics JETP 30, 1160 (1970).
- [61]
- J. Voit. One-dimensional Fermi liquids. Reports on Progress in Physics 58, 977–1116 (1995).