{
  "id": "1811.00810",
  "version": "v1",
  "published": "2018-11-02T10:45:17.000Z",
  "updated": "2018-11-02T10:45:17.000Z",
  "title": "Anatomy of electrical signals and dc-voltage lineshape in spin torque ferromagnetic resonance",
  "authors": [
    "Yin Zhang",
    "Q. Liu",
    "B. F. Miao",
    "H. F. Ding",
    "X. R. Wang"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The electrical detection of spin torque ferromagnetic resonance (st-FMR) is becoming a popular method for measuring the spin-Hall angle of heavy metals (HM). However, various sensible analysis on the same material with either the same or different experimental setups yielded different spin-Hall angles with large discrepancy, indicating some missing ingredients in our current understanding of st-FMR. Here we carry out a careful analysis of electrical signals of the st-FMR in a HM/ferromagnet (HM/FM) bilayer with an arbitrary magnetic anisotropy. The FM magnetization is driven by two radio-frequency (rf) forces: the rf Oersted field generated by an applied rf electric current and the so called rf spin-orbit torque from the spin current flowing perpendicularly from the HM to the FM due to the spin-Hall effect. By using the universal form of the dynamic susceptibility matrix of magnetic materials at the st-FMR, the electrical signals originated from the anisotropic magnetoresistance, anomalous Hall effect and inverse spin-Hall effect are analysed and dc-voltage lineshape near the st-FMR are obtained. Angle-dependence of dc-voltage is given for two setups. A way of experimentally extracting the spin-Hall angle of a HM is proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-02T10:45:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin torque ferromagnetic resonance",
      "electrical signals",
      "dc-voltage lineshape",
      "spin-hall angle",
      "spin-hall effect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}