{
  "annotation_id": "93abe2e7-d588-4b9a-be2a-6ea954ca3acd",
  "date_created": "2026-02-17T05:53:24.382000Z",
  "date_modified": "2026-02-17T05:53:24.382000Z",
  "file_hash": "ec078dad3c76e8b99256dba350f177366334bf803d864b0997da49b27c6ea306",
  "private": false,
  "record": {
    "abstract": "The kagome lattice, a well known example of the geometrically frustrated system, hosts a dispersionless flat band that offers a unique platform for studying correlation-driven quantum phenomena. At appropriate particle concentrations, the existence of a flat band allows a representation of percolation with nontrivial weights. In this work, we investigate the paramagnetic-ferromagnetic transition in the repulsive SU($N$) Hubbard model on the kagome lattice within this percolation framework. In this representation, the model can be rigorously mapped to a classical $N$-state site-percolation problem on a triangular lattice, with the SU($N$) symmetry reflected in the nontrivial weights. By large-scale Monte Carlo simulations for SU($3$), SU($4$), and SU($10$) symmetries, we demonstrate that the critical particle concentration for ferromagnetism exceeds the standard percolation threshold and increases with $N$, indicating a strengthening of the effective entropic repulsion.",
    "arxiv_id": "2601.10549",
    "authors": [
      "Hao Jin",
      "Wenxing Nie"
    ],
    "categories": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Flat-band Ferromagnetism of SU$(N)$ Hubbard Model on the Kagome Lattices",
    "url": "https://arxiv.org/abs/2601.10549",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ba5a6965-d31d-4550-bc8c-40a4cf0e27b2",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}