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Phys. Rev. Lett. 100, 176404 (2008) [4 pages]

Lattice-Induced Double-Valley Degeneracy Lifting in Graphene by a Magnetic Field

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Igor A. Luk’yanchuk1,2 and Alexander M. Bratkovsky3
1University of Picardie Jules Verne, Laboratory of Condensed Matter Physics, Amiens, 80039, France
2L. D. Landau Institute for Theoretical Physics, Moscow, Russia
3Hewlett-Packard Laboratories, 1501 Page Mill Road, Palo Alto, California 94304, USA

Received 11 July 2007; published 2 May 2008

We show that the recently discovered double-valley splitting of the Landau levels in the quantum Hall effect in graphene can be explained as the perturbative orbital interaction of intravalley and intervalley microscopic orbital currents with a magnetic field. This effect is facilitated by the translationally noninvariant terms that correspond to graphene’s crystallographic honeycomb symmetry but do not exist in the relativistic theory of massless Dirac fermions in quantum electrodynamics. We discuss recent data in view of these findings.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.176404
DOI:
10.1103/PhysRevLett.100.176404
PACS:
71.70.−d, 73.43.−f, 81.05.Uw