{
  "annotation_id": "3c3f545b-428d-4ab4-80b0-382d629184cc",
  "date_created": "2026-03-02T18:00:50.253000Z",
  "date_modified": "2026-03-02T18:00:50.253000Z",
  "file_hash": "376ed198f003b3f9a124fe77996ecbf6b21aaa87a9a4605f61ddf633ec3cba58",
  "private": false,
  "record": {
    "abstract": "We study the Ising model on the triangular lattice with nearest-neighbor\ncouplings $K_{\\rm nn}$, next-nearest-neighbor couplings $K_{\\rm nnn}\u003e0$, and a\nmagnetic field $H$. This work is done by means of finite-size scaling of\nnumerical results of transfer matrix calculations, and Monte Carlo simulations.\nWe determine the phase diagram and confirm the character of the critical\nmanifolds. The emphasis of this work is on the antiferromagnetic case $K_{\\rm\nnn}\u003c0$, but we also explore the ferromagnetic regime $K_{\\rm nn}\\ge 0$ for H=0.\nFor $K_{\\rm nn}\u003c0$ and H=0 we locate a critical phase presumably covering the\nwhole range $-\\infty \u003c K_{\\rm nn}\u003c0$. For $K_{\\rm nn}\u003c0$, $H\\neq 0$ we locate a\nplane of phase transitions containing a line of tricritical three-state Potts\ntransitions. In the limit $H \\to \\infty$ this line leads to a tricritical model\nof hard hexagons with an attractive next-nearest-neighbor potential.",
    "arxiv_id": "physics/0405055",
    "authors": [
      "Xiaofeng Qian",
      "Henk W. J. Bloete"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevE.70.036112",
    "title": "The triangular Ising model with nearest- and next-nearest-neighbor   couplings in a field",
    "url": "https://arxiv.org/abs/physics/0405055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f7847e8d-4aa1-4045-b14b-d04b6d4b0c1b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}