{
  "id": "quant-ph/9911060",
  "version": "v1",
  "published": "1999-11-13T11:10:05.000Z",
  "updated": "1999-11-13T11:10:05.000Z",
  "title": "Berry phase in magnetic systems with point perturbations",
  "authors": [
    "Pavel Exner",
    "Vladimir A. Geyler"
  ],
  "comment": "LaTeX, 26 pages",
  "journal": "J. Geom. Phys. 36 (2000), 178-197",
  "doi": "10.1016/S0393-0440(00)00020-6",
  "categories": [
    "quant-ph",
    "cond-mat",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state corresponding to an isolated eigenvalue acquires a Berry phase. We derive an expression for it and evaluate it in several examples such as a homogeneous field, a magnetic whisker, a particle confined at a ring or in quantum dots, a parabolic and a zero-range one. We also discuss the behavior of the lowest Landau level in this setting obtaining an explicit example of the Wilczek-Zee phase for an infinitely degenerated eigenvalue.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-13T11:10:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "berry phase",
      "magnetic systems",
      "point perturbations",
      "lowest landau level",
      "two-dimensional charged particle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}