{
  "id": "2301.11720",
  "version": "v1",
  "published": "2023-01-27T14:06:18.000Z",
  "updated": "2023-01-27T14:06:18.000Z",
  "title": "Extraordinary-log Universality of Critical Phenomena in Plane Defects",
  "authors": [
    "Yanan Sun",
    "Minghui Hu",
    "Jian-Ping Lv"
  ],
  "comment": "15 pages, 7 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "hep-lat"
  ],
  "abstract": "There is growing evidence that extraordinary-log critical behavior emerges on the open surfaces of critical systems in a semi-infinite geometry. Here, using extensive Monte Carlo simulations, we observe extraordinary-log critical behavior on the plane defects of O(2) critical systems in an infinite geometry. In this extraordinary-log critical phase, the large-distance two-point correlation $G$ obeys the logarithmic finite-size scaling $G \\sim ({\\rm ln}L)^{-\\hat{q}}$ with the linear size $L$, having the critical exponent $\\hat{q}=0.29(2)$. Meanwhile, the helicity modulus $\\Upsilon$ follows the scaling form $\\Upsilon \\sim \\alpha({\\rm ln}L)/L$ with the universal parameter $\\alpha=0.56(3)$. The values of $\\hat{q}$ and $\\alpha$ do not fall into any known universality class of critical phenomena, yet they conform to the scaling relation of extraordinary-log universality. We also discuss the extension of current results to a quantum system that is experimentally accessible. These findings reshape our understanding of extraordinary-log critical phenomena.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-27T14:06:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical phenomena",
      "extraordinary-log universality",
      "plane defects",
      "extraordinary-log critical behavior emerges",
      "critical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}