{
  "annotation_id": "09cbac4f-c0ed-41ba-954f-3c62b3c6fb0f",
  "date_created": "2026-03-02T18:02:51.572000Z",
  "date_modified": "2026-03-02T18:02:51.572000Z",
  "file_hash": "0d662a06989a8b00f691a4aa8ca8a158dd149b1e34964b7dea12f147af6e382e",
  "private": false,
  "record": {
    "abstract": "We solve exactly a class of Frenkel-Kontorova models with piecewise parabolic\npotential, which has $d$ sub-wells in a period. With careful analysis, we show\nthat the phase diagram of the minimum enthalpy configurations exhibits the\nstructure of a complete $d$-dimensional devil\u0027s staircase. The winding number\nof a minimum enthalpy configuration is locked to rational values, while the\nfraction of atoms in each sub-well is locked to values which are\nsub-commensurable with the winding number.",
    "arxiv_id": "solv-int/9607001",
    "authors": [
      "Hsien-chung Kao",
      "Shih-Chang Lee",
      "Wen-Jer Tzeng"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Exact Solution of Frenkel-Kontorova Models with a Complete Devil\u0027s   Staircase in Higher Dimensions",
    "url": "https://arxiv.org/abs/solv-int/9607001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "223f8363-05fc-49f9-99f7-2d7ff71d0f9f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}