{
  "id": "2404.18131",
  "version": "v1",
  "published": "2024-04-28T10:03:20.000Z",
  "updated": "2024-04-28T10:03:20.000Z",
  "title": "Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow",
  "authors": [
    "Fabian G. Medina Cuy",
    "Francesco Buccheri",
    "Fabrizio Dolcini"
  ],
  "comment": "20 pages, 10 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "A current flowing through a superconductor induces a spatial modulation in its superconducting order parameter, characterized by a wavevector $Q$ related to the total momentum of a Cooper pair. Here we investigate this phenomenon in a $p$-wave topological superconductor, described by a one-dimensional Kitaev model. We demonstrate that, by treating $Q$ as an extra synthetic dimension, the current carrying non-equilibrium steady state can be mapped into the ground state of a half-filled two-dimensional Weyl semimetal, whose Fermi surface exhibits Lifshitz transitions when varying the model parameters. Specifically, the transition from Type-I to Type-II Weyl phases corresponds to the emergence of a gapless $p$-wave superconductor, where Cooper pairs coexist with unpaired electrons and holes. Such transition is signaled by the appearance of a sharp cusp in the $Q$-dependence of the supercurrent, at a critical value $Q^*$ that is robust to variations of the chemical potential $\\mu$. We determine the maximal current that the system can sustain in the topological phase, and discuss possible implementations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-28T10:03:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lifshitz transitions",
      "topological superconductor",
      "supercurrent flow",
      "type-ii weyl phases corresponds",
      "current carrying non-equilibrium steady state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}