{ "id": "0808.0906", "version": "v3", "published": "2008-08-06T18:22:11.000Z", "updated": "2009-03-31T21:39:52.000Z", "title": "Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field", "authors": [ "Joseph G. Checkelsky", "Lu Li", "N. P. Ong" ], "comment": "7 pages, 9 figures. Slight change in title, 1 new figure (9) and revised text", "journal": "Phys. Rev. B 79, 115434 (2009)", "doi": "10.1103/PhysRevB.79.115434", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We have investigated the behavior of the resistance of graphene at the $n=0$ Landau Level in an intense magnetic field $H$. Employing a low-dissipation technique (with power $P<$3 fW), we find that, at low temperature $T$, the resistance at the Dirac point $R_0(H)$ undergoes a 1000-fold increase from $\\sim$10 k$\\Omega$ to 40 M$\\Omega$ within a narrow interval of field. The abruptness of the increase suggests that a transition to an insulating, ordered state occurs at the critical field $H_c$. Results from 5 samples show that $H_c$ depends systematically on the disorder, as measured by the offset gate voltage $V_0$. Samples with small $V_0$ display a smaller critical field $H_c$. Empirically, the steep increase in $R_0$ fits acccurately a Kosterlitz-Thouless-type correlation length over 3 decades. The curves of $R_0$ vs. $T$ at fixed $H$ approach the thermal-activation form with a gap $\\Delta\\sim$15 K as $H\\to H_c^{-}$, consistent with a field-induced insulating state.", "revisions": [ { "version": "v3", "updated": "2009-03-31T21:39:52.000Z" } ], "analyses": { "subjects": [ "73.63.-b", "73.21.-b", "73.43.-f" ], "keywords": [ "high magnetic field", "dirac point", "divergent resistance", "transition", "kosterlitz-thouless-type correlation length" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2009, "month": "Mar", "volume": 79, "number": 11, "pages": 115434 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvB..79k5434C" } } }