{
  "id": "1604.01398",
  "version": "v1",
  "published": "2016-04-05T20:00:00.000Z",
  "updated": "2016-04-05T20:00:00.000Z",
  "title": "Tilted Dirac Fermions",
  "authors": [
    "Lukas Muechler",
    "Aris Alexandradinata",
    "Titus Neupert",
    "Roberto Car"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We introduce the notion of a band-inverted, topological semimetal in two-dimensional nonsymmorphic crystals. This notion is materialized in the monolayers of MTe$_2$ (M $=$ W, Mo) if spin-orbit coupling is neglected. We characterize the Dirac band touching topologically by the Wilson loop of the non-Abelian Berry gauge field. An additional feature of the Dirac cone in monolayer MTe$_2$ is that it tilts over in a Lifshitz transition to produce electron and hole pockets, a type-II Dirac cone. These pockets, together with the pseudospin structure of the Dirac electrons, suggest a unified, topological explanation for the recently-reported, non-saturating magnetoresistance in WTe$_2$, as well as its circular dichroism in photoemission. We complement our analysis and first-principle bandstructure calculations with an $\\textit{ab-initio}$-derived-derived tight-binding model for the WTe$_2$ monolayer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-05T20:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilted dirac fermions",
      "non-abelian berry gauge field",
      "first-principle bandstructure calculations",
      "two-dimensional nonsymmorphic crystals",
      "type-ii dirac cone"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160401398M"
    }
  }
}