{
  "id": "1912.02502",
  "version": "v1",
  "published": "2019-12-05T11:02:23.000Z",
  "updated": "2019-12-05T11:02:23.000Z",
  "title": "Monte Carlo studies of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass",
  "authors": [
    "Takumi Ogawa",
    "Kazuki Uematsu",
    "Hikaru Kawamura"
  ],
  "categories": [
    "cond-mat.dis-nn",
    "physics.comp-ph"
  ],
  "abstract": "An extensive equilibrium Monte Carlo simulation is performed on the 3D isotropic Heisenberg SG model with the random nearest-neighbor Gaussian coupling, with particular interest in its chiral-glass (CG) and spin-glass (SG) orderings. For this model, the possibility of the spin-chirality decoupling, {\\it i.e.\\}, the CG order setting in at a higher temperature than that of the SG order was suggested earlier, but still remains controversial. We simulate the model up to the maximum size (linear dimension) $L=48$ under both periodic and open boundary conditions (BC). In locating the CG and SG transition temperatures $T_{{\\rm CG}}$ and $T_{{\\rm SG}}$ by the $L\\rightarrow \\infty$ extrapolation, a variety of independent physical quantities under the both BC are computed and utilized to get larger number of degrees of freedom (NDF). Thanks to the large NDF up to NDF=43, we succeed in obtaining stable and accurate estimates of the CG and SG transition temperatures, $T_{{\\rm CG}}=0.142\\pm 0.001$ and $T_{{\\rm SG}}=0.131^{+0.001}_{-0.006}$. No sign of the size crossover is observed. For larger $L$, the CG correlation length progressively outgrows the SG correlation length at low temperatures. These results provide strong numerical support for the spin-chirality decoupling. The critical exponents associated with the CG and SG transitions are evaluated by use of the finite-size scaling with the scaling correction. For the CG transition, we get the CG exponents, $\\nu_{{\\rm CG}}=1.36\\pm 0.10$ and $\\eta_{{\\rm CG}}=0.49\\pm 0.10$, consistently with the corresponding experimental exponents of canonical SG. Implications to the chirality scenario of experimental SG ordering is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-05T11:02:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "three-dimensional heisenberg spin glass",
      "monte carlo studies",
      "spin-chirality decoupling",
      "isotropic heisenberg sg model",
      "equilibrium monte carlo simulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}