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Published September 2007 | Accepted Version
Journal Article Open

Interplay between lattice-scale physics and the quantum Hall effect in graphene


Graphene's honeycomb lattice structure underlies much of the remarkable physics inherent in this material, most strikingly through the formation of two "flavors" of Dirac cones for each spin. In the quantum Hall regime, the resulting flavor degree of freedom leads to an interesting problem when a Landau level is partially occupied. Namely, while Zeeman splitting clearly favors polarizing spins along the field, precisely how the states for each flavor are occupied can become quite delicate. Here we focus on clean graphene sheets in the regime of quantum Hall ferromagnetism, and discuss how subtler lattice-scale physics, arising either from interactions or disorder, resolves this ambiguity to measurable consequence. Interestingly, such lattice-scale physics favors microscopic symmetry-breaking order coexisting with the usual liquid-like quantum Hall physics emerging on long length scales. The current experimental situation is briefly reviewed in light of our discussion.

Additional Information

© 2007 Elsevier. Received 26 June 2007, Accepted 27 June 2007, Available online 18 July 2007. We would like to thank Leon Balents, Allan MacDonald, Kun Yang, and Philip Kim for the stimulating discussions. This work was supported by the National Science Foundation through grants PHY-9907949 (M.P.A.F.) and DMR-0210790 (J.A. and M.P.A.F.). This article is a contribution to the 'Exploring Graphene: Recent Research Advances' project of Solid State Communications. It was inadvertently omitted from the Special Issue (Volume 145, issues 1–2) in which the rest of these contributions were collected.

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Accepted Version - 0706.3733.pdf


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