HaldaneShastry — model index
Spin-1/2 Haldane-Shastry chain — inverse-square Heisenberg chain on the periodic chord-distance lattice (Haldane 1988, Shastry 1988):
H = J · Σ_{i < j} S_i · S_j / d(i, j)^2, d(i,j) = (N/π) sin(π(i-j)/N)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 HaldaneShastry. 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 | H = J · Σ{i<j} Si · S_j / d(i,j)² with spin S = σ/2 |
| Observable | Spin S = σ/2 (QAtlas-wide spin convention; see docs/src/conventions.md) |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 0 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 7 |
| total claimed hubs | 7 |
Methods (from @register, derived): analytic, cft_low_T, delegation
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
FreeEnergy | 🟠 hub |
GroundStateEnergyDensity | 🟠 hub |
RenyiEntropy | 🟠 hub |
SpecificHeat | 🟠 hub |
ThermalEntropy | 🟠 hub |
UniversalityClass | 🟠 hub |
VonNeumannEntropy | 🟠 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [82]
- I. Affleck. Universal term in the free energy at a critical point and the conformal anomaly. Physical Review Letters 56, 746–748 (1986).
- [32]
- P. Calabrese and J. Cardy. Entanglement entropy and quantum field theory. Journal of Statistical Mechanics: Theory and Experiment 2004, P06002 (2004).
- [179]
- F. D. Haldane. Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-1/2 antiferromagnetic Heisenberg chain with 1/r² exchange. Physical Review Letters 60, 635–638 (1988).
- [180]
- B. S. Shastry. Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions. Physical Review Letters 60, 639–642 (1988).