{
  "id": "2103.09469",
  "version": "v1",
  "published": "2021-03-17T07:00:29.000Z",
  "updated": "2021-03-17T07:00:29.000Z",
  "title": "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations",
  "authors": [
    "J. Koziol",
    "A. Langheld",
    "S. C. Kapfer",
    "K. P. Schmidt"
  ],
  "comment": "11 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions are investigated by means of stochastic series expansion quantum Monte Carlo, on both the one-dimensional linear chain and the two-dimensional square lattice. We extract the critical exponents $\\nu$ and $\\beta$ as a function of the decay exponent of the long-range interactions. For ferromagnetic Ising interactions, we resolve the limiting regimes known from field theory, ranging from the nearest-neighbor Ising to the long-range Gaussian universality classes, as well as the intermediate regime with continuously varying critical exponents. In the long-range Gaussian regime, we treat the effect of dangerous irrelevant variables on finite-size scaling forms. For antiferromagnetic and therefore competing Ising interactions, the stochastic series expansion algorithm displays growing auto-correlation times leading to a reduced performance. Nevertheless, our results are consistent with the nearest-neighbor Ising universality for all investigated interaction ranges both on the linear chain and the square lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-17T07:00:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum monte carlo simulations",
      "long-range transverse-field ising model",
      "quantum-critical properties",
      "growing auto-correlation times",
      "series expansion algorithm displays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}