{
  "id": "cond-mat/0607747",
  "version": "v2",
  "published": "2006-07-28T07:56:54.000Z",
  "updated": "2006-10-27T06:52:59.000Z",
  "title": "Classical dimers with aligning interactions on the square lattice",
  "authors": [
    "Fabien Alet",
    "Yacine Ikhlef",
    "Jesper Lykke Jacobsen",
    "Gregoire Misguich",
    "Vincent Pasquier"
  ],
  "comment": "26 pages, 32 figures, published version",
  "journal": "Phys. Rev. E 74, 041124 (2006)",
  "doi": "10.1103/PhysRevE.74.041124",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el"
  ],
  "abstract": "We present a detailed study of a model of close-packed dimers on the square lattice with an interaction between nearest-neighbor dimers. The interaction favors parallel alignment of dimers, resulting in a low-temperature crystalline phase. With large-scale Monte Carlo and Transfer Matrix calculations, we show that the crystal melts through a Kosterlitz-Thouless phase transition to give rise to a high-temperature critical phase, with algebraic decays of correlations functions with exponents that vary continuously with the temperature. We give a theoretical interpretation of these results by mapping the model to a Coulomb gas, whose coupling constant and associated exponents are calculated numerically with high precision. Introducing monomers is a marginal perturbation at the Kosterlitz-Thouless transition and gives rise to another critical line. We study this line numerically, showing that it is in the Ashkin-Teller universality class, and terminates in a tricritical point at finite temperature and monomer fugacity. In the course of this work, we also derive analytic results relevant to the non-interacting case of dimer coverings, including a Bethe Ansatz (at the free fermion point) analysis, a detailed discussion of the effective height model and a free field analysis of height fluctuations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-27T06:52:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "square lattice",
      "classical dimers",
      "aligning interactions",
      "interaction favors parallel alignment",
      "low-temperature crystalline phase"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}