{
  "id": "cond-mat/0408362",
  "version": "v1",
  "published": "2004-08-16T17:20:00.000Z",
  "updated": "2004-08-16T17:20:00.000Z",
  "title": "Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons",
  "authors": [
    "D. S. Saraga",
    "B. L. Altshuler",
    "Daniel Loss",
    "R. M. Westervelt"
  ],
  "comment": "19 pages, 10 figures",
  "journal": "Phys. Rev. B 71, 045338 (2005)",
  "doi": "10.1103/PhysRevB.71.045338",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We calculate the Coulomb scattering amplitude for two electrons injected with opposite momenta in an interacting 2DEG. We include the effect of the Fermi liquid background by solving the 2D Bethe-Salpeter equation for the two-particle Green function vertex, in the ladder and random phase approximations. This result is used to discuss the feasibility of producing spin EPR pairs in a 2DEG by collecting electrons emerging from collisions at a pi/2 scattering angle, where only the entangled spin-singlets avoid the destructive interference resulting from quantum indistinguishability. Furthermore, we study the effective 2D electron-electron interaction due to the exchange of virtual acoustic and optical phonons, and compare it to the Coulomb interaction. Finally, we show that the 2D Kohn-Luttinger pairing instability for the scattering electrons is negligible in a GaAs 2DEG.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-16T17:20:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d electron gas",
      "coulomb scattering cross-section",
      "entangled electrons",
      "production",
      "two-particle green function vertex"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}