{
  "id": "2005.10826",
  "version": "v1",
  "published": "2020-05-21T17:59:40.000Z",
  "updated": "2020-05-21T17:59:40.000Z",
  "title": "An Effective Field Theory for Fractional Quantum Hall Systems near $ν=5/2$",
  "authors": [
    "Po-Shen Hsin",
    "Ying-Hsuan Lin",
    "Natalie M. Paquette",
    "Juven Wang"
  ],
  "comment": "64 pages, 9 figures, 5 tables. Many appendices",
  "categories": [
    "cond-mat.str-el"
  ],
  "abstract": "We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction $\\nu=5/2$ that flows to pertinent IR candidate phases, including non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states (Pf, APf, and PHPf). Our EFT has a 2+1$d$ O(2)$_{2,L}$ Chern-Simons gauge theory coupled to four Majorana fermions by a discrete charge conjugation gauge field, with Gross-Neveu-Yukawa-Higgs terms. Including deformations via a Higgs condensate and a fermion mass term, we can map out a phase diagram with tunable parameters, reproducing the prediction of the recently-proposed percolation picture and its phase transitions. Our EFT captures known features of both gapless and gapped sectors of time-reversal-breaking domain walls between Pf and APf phases. Moreover, we find that Pf$\\mid$APf domain walls have higher tension than domain walls in the PHPf phase. Then the former, if formed, may transition to the energetically-favored PHPf domain walls; this could, in turn, help further induce a bulk transition to PHPf.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-21T17:59:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall systems",
      "effective field theory",
      "domain walls",
      "discrete charge conjugation gauge field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}