{
  "id": "2203.10715",
  "version": "v1",
  "published": "2022-03-21T03:22:44.000Z",
  "updated": "2022-03-21T03:22:44.000Z",
  "title": "Correlated states of 2D electrons near the Landau level filling $ν=1/7$",
  "authors": [
    "Yoon Jang Chung",
    "D. Graf",
    "L. W. Engel",
    "K. A. Villegas Rosales",
    "P. T. Madathil",
    "K. W. Baldwin",
    "K. W. West",
    "L. N. Pfeiffer",
    "M. Shayegan"
  ],
  "comment": "6 pages, 4 figures",
  "journal": "Phys. Rev. Lett. 128, 026802 (2022)",
  "doi": "10.1103/PhysRevLett.128.026802",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The ground state of two-dimensional electron systems (2DESs) at low Landau level filling factors ($\\nu\\lesssim1/6$) has long been a topic of interest and controversy in condensed matter. Following the recent breakthrough in the quality of ultra-high-mobility GaAs 2DESs, we revisit this problem experimentally and investigate the impact of reduced disorder. In a GaAs 2DES sample with density $n=6.1\\times10^{10}$ /cm$^2$ and mobility $\\mu=25\\times10^6$ cm$^2$/Vs, we find a deep minimum in the longitudinal magnetoresistance ($R_{xx}$) at $\\nu=1/7$ when $T\\simeq104$ mK. There is also a clear sign of a developing minimum in the $R_{xx}$ at $\\nu=2/13$. While insulating phases are still predominant when $\\nu\\lesssim1/6$, these minima strongly suggest the existence of fractional quantum Hall states at filling factors that comply with the Jain sequence $\\nu=p/(2mp\\pm1)$ even in the very low Landau level filling limit. The magnetic field dependent activation energies deduced from the relation $R_{xx}\\propto e^{E_A/2kT}$ corroborate this view, and imply the presence of pinned Wigner solid states when $\\nu\\neq p/(2mp\\pm1)$. Similar results are seen in another sample with a lower density, further generalizing our observations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-21T03:22:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d electrons",
      "correlated states",
      "landau level filling factors",
      "magnetic field dependent activation energies",
      "low landau level filling limit"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}