Landau Levels and Quantum Hall Effect in Graphene Superlattices

Details Landau Levels and Quantum Hall Effect in Graphene Superlattices Landau Levels and Quantum Hall Effect in Graphene Superlattices

2009-03-18

arxiv.org/abs/0903.3091v2

Phys. Rev. Lett. 103, 046808 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 7 figures

Scientific paper

10.1103/PhysRevLett.103.046808

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac point of graphene. Because of these new zero-energy branches, the Landau levels at charge neutral filling becomes 4(2N+1)-fold degenerate (with N=0,1,2,..., tunable by the potential strength and periodicity) with the corresponding Hall conductivity $\sigma_{xy}$ showing a step of size 4(2N+1)$e^2/h$. These theoretical findings are robust against variations in the details of the external potential and provide measurable signatures of the unusual electronic structure of graphene superlattices.

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