{
  "id": "cond-mat/0510303",
  "version": "v2",
  "published": "2005-10-12T05:12:49.000Z",
  "updated": "2006-03-02T06:52:22.000Z",
  "title": "Non-equilibrium Green's function formalism and the problem of bound states",
  "authors": [
    "Abhishek Dhar",
    "Diptiman Sen"
  ],
  "comment": "Revtex4, 32 pages including 5 figures; some corrections made, this is the version published in Phys Rev B",
  "journal": "Phys. Rev. B 73 (2006) 085119",
  "doi": "10.1103/PhysRevB.73.085119",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech"
  ],
  "abstract": "The non-equilibrium Green's function formalism for infinitely extended reservoirs coupled to a finite system can be derived by solving the equations of motion for a tight-binding Hamiltonian. While this approach gives the correct density for the continuum states, we find that it does not lead, in the absence of any additional mechanisms for equilibration, to a unique expression for the density matrix of any bound states which may be present. Introducing some auxiliary reservoirs which are very weakly coupled to the system leads to a density matrix which is unique in the equilibrium situation, but which depends on the details of the auxiliary reservoirs in the non-equilibrium case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-02T06:52:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-equilibrium greens function formalism",
      "bound states",
      "density matrix",
      "auxiliary reservoirs",
      "continuum states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}