{
  "id": "cond-mat/0107146",
  "version": "v3",
  "published": "2001-07-06T17:39:43.000Z",
  "updated": "2002-01-21T18:09:36.000Z",
  "title": "Boundary polarization in the six-vertex model",
  "authors": [
    "N. M. Bogoliubov",
    "A. V. Kitaev",
    "M. B. Zvonarev"
  ],
  "comment": "4 pages, RevTex, a misprint in Eq. (8) is corrected",
  "journal": "Phys. Rev. E 65, 026126 (2002)",
  "doi": "10.1103/PhysRevE.65.026126",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional $N \\times N$ square lattice with the domain wall boundary conditions are considered. The one-point correlation function (`boundary polarization') is expressed via the partition function of the model on a sublattice. The partition function is represented in terms of standard objects in the theory of orthogonal polynomials. This representation is used to study the large N limit: the presence of the boundary affects the macroscopic quantities of the model even in this limit. The logarithmic terms obtained are compared with predictions from conformal field theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-01-21T18:09:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "six-vertex model",
      "boundary polarization",
      "partition function",
      "domain wall boundary conditions",
      "one-point correlation function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}