{
  "id": "1805.07948",
  "version": "v1",
  "published": "2018-05-21T08:52:12.000Z",
  "updated": "2018-05-21T08:52:12.000Z",
  "title": "Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling",
  "authors": [
    "Jorge Cayao",
    "Annica M. Black-Schaffer"
  ],
  "comment": "10 pages + 14 pages supplementary material, 3 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "We consider NS and SNS junctions based on one-dimensional nanowires with Rashba spin-orbit coupling and proximity-induced $s$-wave spin singlet superconductivity and analytically demonstrate how both even- and odd-frequency and spin-singlet and triplet superconducting pair correlations are always present. In particular, by using a fully quantum mechanical scattering approach, we show that Andreev reflection induces mixing of spatial parities at interfaces, thus being the unique process which generates odd-frequency pairing; on the other hand, both Andreev and normal reflections contribute to even-frequency pairing. We further find that locally neither odd-frequency nor spin-triplet correlations are induced, but only even-frequency spin-singlet pairing. In the superconducting regions of NS junctions, the interface-induced amplitudes decay into the bulk, with the odd-frequency components being generally much larger than the even-frequency components at low frequencies. The odd-frequency pairing also develop short and long-period oscillations due to the chemical potential and SO coupling, respectively, leading to a visible beating feature in their magnitudes. Moreover, we find that in short SNS junctions at $\\pi$-phase difference and strong SO coupling, the odd-frequency spin-singlet and triplet correlations strongly dominate with an alternating spatial pattern for a large range of sub-gap frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-21T08:52:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rashba spin-orbit coupling",
      "odd-frequency superconducting pairing",
      "quantum mechanical scattering approach",
      "wave spin singlet superconductivity",
      "triplet superconducting pair correlations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}