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Correlated random hopping disorder in graphene at high magnetic fields: Landau level broadening and localization properties

A. L. C. Pereira, C. H. Lewenkopf, E. R. Mucciolo
2011 Physical Review B  

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2011 pre-print arXiv:1104.4095v1 fatcat:7xee6iurdre2pb6oujbv3k2esa

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2011 accepted
arXiv:1104.4095v2 fatcat:duaiyo3wwref3g6vgjoeitpkxe
We study the density of states and localization properties of the lowest Landau levels of graphene at high magnetic fields. We focus on the effects caused by correlated long-range hopping disorder, which, in exfoliated graphene, is induced by static ripples. We find that the broadening of the lowest Landau level shrinks exponentially with increasing disorder correlation length. At the same time, the broadening grows linearly with magnetic field and with disorder amplitudes. The lowest Landau
more » ... el peak shows a robust splitting, whose origin we identify as the breaking of the sublattice (valley) degeneracy.
doi:10.1103/physrevb.84.165406 fatcat:fz3yuyz6qrg5fpav3lgszuqor4
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A. L. C. Pereira, C. H. Lewenkopf, E. R. Mucciolo. "Correlated random hopping disorder in graphene at high magnetic fields: Landau level broadening and localization properties." Physical Review B 84.16 (2011)