{
  "id": "2306.00569",
  "version": "v1",
  "published": "2023-06-01T11:30:20.000Z",
  "updated": "2023-06-01T11:30:20.000Z",
  "title": "Second order phase transition in the six-dimensional Ising spin glass on a field",
  "authors": [
    "Miguel Aguilar-Janita",
    "Victor Martin-Mayor",
    "Javier Moreno-Gordo",
    "Juan Jesus Ruiz-Lorenzo"
  ],
  "comment": "16 pages, 11 figures",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to classical, but not generally accepted, field-theoretical studies, is the upper critical dimension). We find a phase transition and compute the critical exponents, that are found to be compatible with their mean-field values. We also find that the replica-symmetric Hamiltonian describes the scaling of the renormalized couplings near the phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-01T11:30:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second order phase transition",
      "six-dimensional ising spin glass",
      "external magnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}