{
  "id": "2005.04548",
  "version": "v1",
  "published": "2020-05-10T02:00:46.000Z",
  "updated": "2020-05-10T02:00:46.000Z",
  "title": "Stability of the Spectral Gap for Lattice Fermions",
  "authors": [
    "Tohru Koma"
  ],
  "comment": "54 pages, no figure",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is widely believed that the spectral gap above the Fermi sea ground state of lattice free fermions is stable against generic weak interactions. Quite recently, Hastings presented a new interesting idea to prove the stability for Majorana free fermions. He ingeniously used Majorana fermions so that the unperturbed Hamiltonian of the free fermion part is mapped into a frustration-free form. In this paper, we refine Hastings's argument, and give a complete proof of the stability of the spectral gap above the Fermi sea ground state against generic weak interactions for generic lattice free fermions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-10T02:00:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral gap",
      "lattice fermions",
      "fermi sea ground state",
      "generic weak interactions",
      "generic lattice free fermions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}