{
  "id": "0903.4235",
  "version": "v1",
  "published": "2009-03-25T04:52:52.000Z",
  "updated": "2009-03-25T04:52:52.000Z",
  "title": "Zero Droplet Stiffness Exponent $θ$ is Revealed in Short Range Spin Glasses when Probed with Large Avalanches Induced by Long Range Interactions",
  "authors": [
    "Ferenc Pazmandi",
    "Gergely T. Zimanyi"
  ],
  "comment": "4 pages, 2 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We probe the droplet excitations in short range spin glasses by adding a perturbative long range interaction that decays with distance as a power law: $J/r^{\\sigma}$. It is shown that if the power law exponent $\\sigma$ is smaller than the spatial dimension $d$, the perturbation induces large scale avalanches which roll until they force the system to develop a pseudo gap in the excitation spectrum of the stabilities. This makes the perturbative long range interactions relevant for $\\sigma < \\sigma_c = d$. The droplet theory predicts that the critical exponent $\\sigma_c$ depends on the droplet stiffness exponent as $\\sigma_c=d-\\theta$. Combining these two results leads to a zero stiffness exponent $\\theta = 0$ in the droplet theory of short range spin glasses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-25T04:52:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short range spin glasses",
      "zero droplet stiffness exponent",
      "large avalanches",
      "long range interactions relevant",
      "induces large scale avalanches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4235P"
    }
  }
}