{
  "id": "2110.14539",
  "version": "v2",
  "published": "2021-10-27T15:53:00.000Z",
  "updated": "2023-03-15T02:33:24.000Z",
  "title": "Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality",
  "authors": [
    "P. M. T. Vianez",
    "Y. Jin",
    "W. K. Tan",
    "Q. Liu",
    "J. P. Griffiths",
    "I. Farrer",
    "D. A. Ritchie",
    "O. Tsyplyatyev",
    "C. J. B. Ford"
  ],
  "comment": "13 pages, 9 figures",
  "journal": "Phys. Rev. B 107, 115128 (2023)",
  "doi": "10.1103/PhysRevB.107.115128",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Determining the (bare) electron mass $m_0$ in crystals is often hindered by many-body effects since Fermi-liquid physics renormalises the band mass, making the observed effective mass $m^*$ depend on density. Here, we use a one-dimensional (1D) geometry to amplify the effect of interactions, forcing the electrons to form a nonlinear Luttinger liquid with separate holon and spinon bands, therefore separating the interaction effects from $m_0$. Measuring the spectral function of gated quantum wires formed in GaAs by means of magnetotunnelling spectroscopy and interpreting them using the 1D Fermi-Hubbard model, we obtain $m_0=(0.0525\\pm0.0015)m_\\textrm{e}$ in this material, where $m_\\textrm{e}$ is the free-electron mass. By varying the density in the wires, we change the interaction parameter $r_\\textrm{s}$ in the range from $\\sim$1-4 and show that $m_0$ remains constant. The determined value of $m_0$ is $\\sim 22$% lighter than observed in GaAs in geometries of higher dimensionality $D$ ($D>1$), consistent with the quasi-particle picture of a Fermi liquid that makes electrons heavier in the presence of interactions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-03-15T02:33:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body effects",
      "reduced dimensionality",
      "fermi-liquid physics renormalises",
      "1d fermi-hubbard model",
      "nonlinear luttinger liquid"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}