TightBindingChecksum — quantity index
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 (Model, BC) hubs src claims for the TightBindingChecksum observable. Empty cells = this model doesn't yet have a TightBindingChecksum registered at that BC — i.e. where this quantity could be added to other models.
Definition
Sum of squared single-particle eigenvalues Σ λᵢ² of the tight-binding Bloch Hamiltonian, i.e. tr(H²). For a chiral (bipartite) lattice this equals 2 t² · n_NN_bonds, an analytical identity independent of Lx, Ly, or k-grid details — a strong sanity invariant on top of the spectrum closed form.
(extracted from src/core/quantities.jl docstring.)
Coverage
- Models with this quantity registered: 4
- Total hubs (Model, BC pairs): 4
- Methods (derived from
@register):bloch_diagonalization - Universality classes (where applicable): —
Model × BC matrix
| Model | Infinite |
|---|---|
Honeycomb | 🟠 hub |
Kagome | 🟠 hub |
Lieb | 🟠 hub |
Triangular | 🟠 hub |