{
  "id": "1811.06091",
  "version": "v1",
  "published": "2018-11-14T22:09:13.000Z",
  "updated": "2018-11-14T22:09:13.000Z",
  "title": "Density Wave States in the Presence of an External Magnetic Field",
  "authors": [
    "Ian Powell",
    "Sudip Chakravarty"
  ],
  "comment": "10 pages, 19 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.other"
  ],
  "abstract": "We investigate the effect that density-wave states have on the Hofstadter Butterfly. We first review the problem of the $d$-density wave on a square lattice and then numerically solve the $d$-density wave problem when an external magnetic field is introduced. As the $d$-density wave condensation strength is tuned the spectrum evolves through three topologically distinct butterflies, and an unusual quantum Hall effect is observed. The chiral $p+ip$-density wave state demonstrates drastically different Hofstadter physics--inducing a destruction of the gaps in the butterfly which causes electrons' cyclotron orbits to not obey any type of Landau quantization, and the creation of a large gap in the spectrum with Hall conductance $\\sigma_{xy}$=0. To investigate the quantum phases in the system we perform a multifractal analysis of the single particle wavefunctions. We find that tuning the $d$-density wave strength at a generic value of magnetic flux controls a metal-metal transition at charge neutrality where the wavefunction multifractality occurs near band touching events. In the $p+ip$ case we observe another metal-metal transition near a band touching event which is seperated by a quasi-insulating island state occuring at charge neutrality near strip dimerization of the lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-14T22:09:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "external magnetic field",
      "band touching event",
      "density wave condensation strength",
      "unusual quantum hall effect",
      "density wave state demonstrates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}