{
  "id": "cond-mat/0307409",
  "version": "v1",
  "published": "2003-07-17T06:19:14.000Z",
  "updated": "2003-07-17T06:19:14.000Z",
  "title": "Doubling of Landau levels in GaAs/AlGaAs heterostructures",
  "authors": [
    "Keshav N. Shrivastava"
  ],
  "comment": "5 pages TeX, 1 figure gif",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech"
  ],
  "abstract": "Usually the Landau levels are given by (n+1/2)\\hbar\\omega_c with \\hbar\\omega_c=eB/mc. We find that there are clusters of electrons with localization so that the orbital angular momentum is not zero. There are interactions which transfer the electrons from {\\it l}=0 to {\\it l}\\ne 0 so that there is doubling in the Landau levels with \\hbar\\omega_c= (1/2)g_\\pmeB/mc where (1/2)g_\\pm=({\\it l}+(1/2)\\pm s)/(2{\\it l}+1) For s=\\pm 1/2 two distinct values of \\omega_c appear whereas only one seems to be known in the literature. This is because only one value s=+1/2 is populated. When microwaves of a suitable frequency such as 13.1 GHz at a field of about 2.5 Tesla, are turned on, s=-1/2 also gets populated. For singlets s=0, (1/2)g_\\pm=1/2 so that \\omega_c=(1/2)(eB/mc). This will double the number of oscillations in the resistivity as a function of magnetic field. This theory of doubling of the oscillations agrees with the experimental data on GaAs/AlGaAs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-17T06:19:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau levels",
      "gaas/algaas heterostructures",
      "orbital angular momentum",
      "experimental data",
      "distinct values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003cond.mat..7409S"
    }
  }
}