{
  "id": "1411.3644",
  "version": "v1",
  "published": "2014-11-13T18:10:22.000Z",
  "updated": "2014-11-13T18:10:22.000Z",
  "title": "Emergent rhombus tilings from molecular interactions with $M$-fold rotational symmetry",
  "authors": [
    "Stephen Whitelam",
    "Isaac Tamblyn",
    "Juan P. Garrahan",
    "Peter H. Beton"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules spontaneously select irregular 4-fold local coordination from a larger set of possible local binding geometries. The existence of such networks can be rationalized by simple geometrical arguments, but the same arguments do not guarantee networks' spontaneous self-assembly. This class of structures must in certain regimes of parameter space be able to reconfigure into networks equivalent to triangular tilings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-13T18:10:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.75.Yz",
      "05.70.Fh",
      "81.16.Fg"
    ],
    "keywords": [
      "emergent rhombus tilings",
      "fold rotational symmetry",
      "molecular interactions",
      "network structures equivalent",
      "molecules spontaneously select irregular"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevLett.114.115702",
      "journal": "Physical Review Letters",
      "year": 2015,
      "month": "Mar",
      "volume": 114,
      "number": 11,
      "pages": 115702
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvL.114k5702W"
    }
  }
}