{
  "id": "2406.05829",
  "version": "v1",
  "published": "2024-06-09T15:36:37.000Z",
  "updated": "2024-06-09T15:36:37.000Z",
  "title": "Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects",
  "authors": [
    "Barış Pekerten",
    "David Brandão",
    "Bailey Bussiere",
    "David Monroe",
    "Tong Zhou",
    "Jong E. Han",
    "Javad Shabani",
    "Alex Matos-Abiague",
    "Igor Žutić"
  ],
  "comment": "Invited to APL Special Topic Issue: \"Josephson Junctions and Related Proximity Effects: From Basic Science to Emerging Applications in Advanced Technologies\", accepted version",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "A planar Josephson junction is a versatile platform to realize topological superconductivity over a large parameter space and host Majorana bound states. With a change in Zeeman field, this system undergoes a transition from trivial to topological superconductivity accompanied by a jump in the superconducting phase difference between the two superconductors. A standard model of these Josephson junctions, which can be fabricated to have a nearly perfect interfacial transparency, predicts a simple universal behavior. In that model, at the same value of Zeeman field for the topological transition, there is a $\\pi$ phase jump and a minimum in the critical superconducting current, while applying a controllable phase difference yields a diamond-shaped topological region as a function of that phase difference and a Zeeman field. In contrast, even for a perfect interfacial transparency, we find a much richer and nonuniversal behavior as the width of the superconductor is varied or the Dresselhaus spin-orbit coupling is considered. The Zeeman field for the phase jump, not necessarily $\\pi$, is different from the value for the minimum critical current, while there is a strong deviation from the diamond-like topological region. These Josephson junctions show a striking example of a nonreciprocal transport and superconducting diode effect, revealing the importance of our findings not only for topological superconductivity and fault-tolerant quantum computing, but also for superconducting spintronics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-09T15:36:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological josephson junctions",
      "diode effect",
      "standard model",
      "zeeman field",
      "crystalline anisotropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}