{
  "id": "2108.00240",
  "version": "v1",
  "published": "2021-07-31T13:47:11.000Z",
  "updated": "2021-07-31T13:47:11.000Z",
  "title": "Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models",
  "authors": [
    "Chang-geun Oh",
    "Sang-Hoon Han",
    "Sangmo Cheon"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw-Rebbi (JR) models. We show that time-reversal ($T$), charge-conjugation ($C$), parity ($P$), and discrete internal field rotation ($Z_n$) symmetries protect and characterize the various types of edge states such as chiral and nonchiral solitons via bulk-boundary correspondence in the presence of the multiple vacua. As two representative models, we consider the JR model composed of a single fermion field having a complex mass and the generalized JR model with two massless but interacting fermion fields. The JR model shows nonchiral solitons with the $Z_2$ rotation symmetry, whereas it shows chiral solitons with the broken $Z_2$ rotation symmetry. In the generalized JR model, only nonchiral solitons can emerge with only $Z_2$ rotation symmetry, whereas both chiral and nonchiral solitons can exist with enhanced $Z_4$ rotation symmetry. Moreover, we find that the nonchiral solitons have $C, P$ symmetries while the chiral solitons do not, which can be explained by the symmetry-invariant lines connecting degenerate vacua. Finally, we find the symmetry correspondence between multiply-degenerate global vacua and solitons such that ${T}$, ${C}$, ${P}$ symmetries of a soliton inherit from global minima that are connected by the soliton, which provides a novel tool for the characterization of topological solitons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-31T13:47:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bulk-boundary correspondence",
      "generalized jackiw-rebbi models",
      "nonchiral solitons",
      "rotation symmetry",
      "lines connecting degenerate vacua"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}