Quantum Hall States near the Charge-Neutral Dirac Point in Graphene

Z. Jiang, Y. Zhang, H. L. Stormer, and P. Kim

Phys. Rev. Lett. 99, 106802 – Published 6 September 2007

Abstract

We investigate the quantum Hall (QH) states near the charge-neutral Dirac point of a high mobility graphene sample in high magnetic fields. We find that the QH states at filling factors $ν = \pm 1$ depend only on the perpendicular component of the field with respect to the graphene plane, indicating that they are not spin related. A nonlinear magnetic field dependence of the activation energy gap at filling factor $ν = 1$ suggests a many-body origin. We therefore propose that the $ν = 0$ and $\pm 1$ states arise from the lifting of the spin and sublattice degeneracy of the $n = 0$ Landau level, respectively.

Received 6 May 2007

DOI:https://doi.org/10.1103/PhysRevLett.99.106802

Authors & Affiliations

Z. Jiang^1,2,*, Y. Zhang^1,†, H. L. Stormer^1,3,4, and P. Kim¹

¹Department of Physics, Columbia University, New York, New York 10027, USA
²National High Magnetic Field Laboratory, Tallahassee, Florida 32310, USA
³Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027, USA
⁴Bell Laboratories, Alcatel-Lucent, Murray Hill, New Jersey 07974, USA

^*jiang@magnet.fsu.edu
^†Present address: Department of Physics, University of California at Berkeley, Berkeley, CA 94720, USA.

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Vol. 99, Iss. 10 — 7 September 2007

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