{
  "id": "2410.09581",
  "version": "v1",
  "published": "2024-10-12T16:25:49.000Z",
  "updated": "2024-10-12T16:25:49.000Z",
  "title": "Optical Orientation of Mn$^{2+}$ Spins in Bulk (Zn, Mn)Se Induced by Magnetic Field",
  "authors": [
    "N. V. Kozyrev",
    "K. A. Baryshnikov",
    "B. R. Namozov",
    "I. I. Kozlov",
    "M. E. Boiko",
    "N. S. Averkiev",
    "Yu. G. Kusrayev"
  ],
  "comment": "9 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "The optical orientation of Mn$^{2+}$ spins in the first excited state $^4$T$_1$ was experimentally observed in bulk (Zn, Mn)Se ($x_\\mathrm{Mn}=0.01$) in the an external magnetic field of up to $6\\,$T in Faraday geometry. This occurred during quasi-resonant continuous wave circularly polarized photoexcitation of the intracenter d-d transitions. A non-monotonic dependence of the thermal circular polarization of the intracenter photoluminescence on the magnetic field was observed. A theoretical model is proposed to describe the selection rules for resonant optical d-d transitions of an isolated Mn$^{2+}$ ion in a ZnSe cubic crystal. These rules are based on the analysis of the total angular momentum symmetry for the ground ($^6$A$_1$) and first excited ($^4$T$_1$) states of the Mn$^{2+}$ ion. This discussion neglects the specific mechanism for spin-flip processes in a d-shell of the ion during optical excitation. The analysis is founded on the rotational symmetry of the effective total angular momenta and parity for each state as a whole. Additionally, the Jahn-Teller coupling of the excited state orbital parts with tetragonal ($e$-type) local distortions of the crystal lattice is considered. This coupling results in the segregation of cubic axes and spin projections on these axes due to weak spin-orbit and spin-spin coupling in the excited state. This leads to energy splitting for spin states with their projections of $\\pm 1/2$ and $\\pm 3/2$ on each axis distinguished by specific Jahn-Teller distortion in the corresponding atomic potential minimum. By introducing two different times of relaxation to reach thermodynamic equilibrium for $\\pm 1/2$ and $\\pm 3/2$ states in each Jahn-Teller configuration, an angle dependent optical orientation contribution in photoluminescence polarization arises in the presence of a magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-12T16:25:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "wave circularly polarized photoexcitation",
      "excited state",
      "angle dependent optical orientation contribution",
      "total angular momentum symmetry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}