{
  "id": "1005.1913",
  "version": "v2",
  "published": "2010-05-11T19:03:40.000Z",
  "updated": "2010-09-15T13:22:02.000Z",
  "title": "Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling",
  "authors": [
    "Robert Andrzej Zak",
    "Dmitrii L. Maslov",
    "Daniel Loss"
  ],
  "comment": "34 pages, 12 figures",
  "journal": "Phys. Rev. B 82, 115415 (2010)",
  "doi": "10.1103/PhysRevB.82.115415",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "A long-range interaction via virtual particle-hole pairs between Fermi-liquid quasiparticles leads to a nonanalytic behavior of the spin susceptibility $\\chi$ as a function of the temperature ($T$), magnetic field ($\\mathbf{B}$), and wavenumber. In this paper, we study the effect of the Rashba spin-orbit interaction (SOI) on the nonanalytic behavior of $\\chi$ for a two-dimensional electron liquid. Although the SOI breaks the SU(2) symmetry, it does not eliminate nonanalyticity but rather makes it anisotropic: while the linear scaling of $\\chi_{zz}$ with $T$ and $|\\mathbf{B}|$ saturates at the energy scale set by the SOI, that of $\\chi_{xx}$ ($=\\chi_{yy}$) continues through this energy scale, until renormalization of the electron-electron interaction in the Cooper channel becomes important. We show that the Renormalization Group flow in the Cooper channel has a non-trivial fixed point, and study the consequences of this fixed point for the nonanalytic behavior of $\\chi$. An immediate consequence of SOI-induced anisotropy in the nonanalytic behavior of $\\chi$ is a possible instability of a second-order ferromagnetic quantum phase transition with respect to a first-order transition to an XY ferromagnetic state.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-15T13:22:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.10.Ay",
      "71.10.Pm",
      "75.40.Cx"
    ],
    "keywords": [
      "interacting two-dimensional electrons",
      "spin susceptibility",
      "nonanalytic behavior",
      "spin-orbit coupling",
      "second-order ferromagnetic quantum phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Sep",
      "volume": 82,
      "number": 11,
      "pages": 115415
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82k5415Z"
    }
  }
}