{ "id": "0802.4102", "version": "v1", "published": "2008-02-27T22:35:07.000Z", "updated": "2008-02-27T22:35:07.000Z", "title": "Influence of Landau-level mixing on Wigner crystallization in graphene", "authors": [ "C. -H. Zhang", "Yogesh N. Joglekar" ], "comment": "6 pages, 3 figures", "journal": "Phys. Rev. B 77, 205426 (2008).", "doi": "10.1103/PhysRevB.77.205426", "categories": [ "cond-mat.mes-hall" ], "abstract": "Graphene, with its massless linearly-dispersing carriers, in the quantum Hall regime provides an instructive comparison with conventional two-dimensional (2D) systems in which carriers have a nonzero band mass and quadratic dispersion. We investigate the influence of Landau level mixing in graphene on Wigner crystal states in the $n^\\mathrm{th}$ Landau level obtained using single Landau level approximation. We show that the Landau level mixing does not qualitatively change the phase diagram as a function of partial filling factor $\\nu$ in the $n^\\mathrm{th}$ level. We find that the inter-Landau level mixing, quantified by relative occupations of the two Landau levels, $\\rho_{n+1}/\\rho_{n}$, oscillates around 2% and, in general, remains small ($< 4%$) irrespective of the Landau level index $n$. Our results show that the single Landau level approximation is applicable in high Landau levels, even though the energy gap between the adjacent Landau levels vanishes.", "revisions": [ { "version": "v1", "updated": "2008-02-27T22:35:07.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "73.20.Qt" ], "keywords": [ "wigner crystallization", "single landau level approximation", "landau-level mixing", "landau level mixing", "adjacent landau levels vanishes" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "May", "volume": 77, "number": 20, "pages": 205426 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..77t5426Z" } } }