{
  "id": "0911.1660",
  "version": "v1",
  "published": "2009-11-09T12:54:33.000Z",
  "updated": "2009-11-09T12:54:33.000Z",
  "title": "A mesoscopic ring as a XNOR gate: An exact result",
  "authors": [
    "Santanu K. Maiti"
  ],
  "comment": "8 pages, 5 figures",
  "journal": "Journal of the Physical Society of Japan, Volume 78, Number 11, October 2009, pp. 114602 (5 pages)",
  "doi": "10.1143/JPSJ.78.114602",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "We describe XNOR gate response in a mesoscopic ring threaded by a magnetic flux $\\phi$. The ring is attached symmetrically to two semi-infinite one-dimensional metallic electrodes and two gate voltages, viz, $V_a$ and $V_b$, are applied in one arm of the ring which are treated as the inputs of the XNOR gate. The calculations are based on the tight-binding model and the Green's function method, which numerically compute the conductance-energy and current-voltage characteristics as functions of the ring-to-electrode coupling strength, magnetic flux and gate voltages. Our theoretical study shows that, for a particular value of $\\phi$ ($=\\phi_0/2$) ($\\phi_0=ch/e$, the elementary flux-quantum), a high output current (1) (in the logical sense) appears if both the two inputs to the gate are the same, while if one but not both inputs are high (1), a low output current (0) results. It clearly exhibits the XNOR gate behavior and this aspect may be utilized in designing an electronic logic gate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-09T12:54:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mesoscopic ring",
      "exact result",
      "magnetic flux",
      "semi-infinite one-dimensional metallic electrodes",
      "gate voltages"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.1660M"
    }
  }
}