KagomeHeisenbergAFM — model index
Spin-½ Heisenberg antiferromagnet on the Kagome lattice (highly frustrated, quantum spin liquid candidate).
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 KagomeHeisenbergAFM. 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 | Spin S (this file) |
| Observable | Spin S (QAtlas-wide spin convention; see docs/src/conventions.md) |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 0 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 3 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 3 |
This model is in ED_INFEASIBLE_MODELS (true 2D / frontier). Its cited-only hubs are the published ceiling, not an actionable gap.
Methods (from @register, derived): analytic, dmrg_reference
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
Energy | ⚪ hub |
MassGap | ⚪ hub |
TopologicalEntanglementEntropy | ⚪ hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [170]
- S. Depenbrock, I. P. McCulloch and U. Schollwöck. Nature of the Spin-Liquid Ground State of the $S=1/2$ Heisenberg Model on the Kagome Lattice. Physical Review Letters 109 (2012).
- [169]
- Y. Iqbal, F. Becca, S. Sorella and D. Poilblanc. Gapless spin-liquid phase in the kagome spin-$1/2$ Heisenberg antiferromagnet. Physical Review B 87 (2013).
- [171]
- H.-C. Jiang, Z. Wang and L. Balents. Identifying topological order by entanglement entropy. Nature Physics 8, 902–905 (2012).
- [75]
- A. Kitaev and J. Preskill. Topological Entanglement Entropy. Physical Review Letters 96 (2006).
- [164]
- M. Levin and X.-G. Wen. Detecting Topological Order in a Ground State Wave Function. Physical Review Letters 96 (2006).
- [172]
- S. Yan, D. A. Huse and S. R. White. Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet. Science 332, 1173–1176 (2011).