{
  "id": "2102.12438",
  "version": "v1",
  "published": "2021-02-24T17:59:48.000Z",
  "updated": "2021-02-24T17:59:48.000Z",
  "title": "SU(4) spin waves in the $ν=\\pm1$ quantum Hall ferromagnet in graphene",
  "authors": [
    "Jonathan Atteia",
    "Mark Oliver Goerbig"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study generalized spin waves in graphene under a strong magnetic field when the Landau-level filling factor is $\\nu=\\pm 1$. In this case, the ground state is a particular SU(4) quantum Hall ferromagnet, in which not only the physical spin is fully polarized but also the pseudo-spin associated with the valley degree of freedom. The nature of the ground state and the spin-valley polarization depend on explicit symmetry breaking terms that are also reflected in the generalised spin-wave spectrum. In addition to pure spin waves, one encounters valley-pseudo-spin waves as well as more exotic entanglement waves that have a mixed spin-valley character. Most saliently, the SU(4) symmetry-breaking terms do not only yield gaps in the spectra, but under certain circumstances, namely in the case of residual ground-state symmetries, render the originally quadratic (in the wave vector) spin-wave dispersion linear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-24T17:59:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall ferromagnet",
      "ground state",
      "explicit symmetry breaking terms",
      "strong magnetic field",
      "pure spin waves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}