{
  "id": "2307.03299",
  "version": "v1",
  "published": "2023-07-06T21:22:11.000Z",
  "updated": "2023-07-06T21:22:11.000Z",
  "title": "Design of a Majorana trijunction",
  "authors": [
    "Juan Daniel Torres Luna",
    "Sathish R. Kuppuswamy",
    "Anton R. Akhmerov"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. In order to have adiabaticity, a trijunction device requires the desired pair coupling to be sufficently large and the undesired couplings to vanish. In this work, we design and simulate of a trijunction device in a two-dimensional electron gas with a focus on the normal region that connects three Majorana states. We use an optimisation approach to find the operational regime of the device in a multi-dimensional voltage space. Using the optimization results, we simulate a braiding experiment by adiabatically coupling different pairs of Majorana states without closing the topological gap. We then evaluate the feasibility of braiding in a trijunction device for different shapes and disorder strengths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-06T21:22:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "majorana trijunction",
      "trijunction device",
      "two-dimensional electron gas",
      "majorana states demonstrates",
      "multi-dimensional voltage space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}