Magnetoconductivity in quasiperiodic graphene superlattices

The magnetoconductivity in Fibonacci graphene superlattices is investigated in a perpendicular magnetic field B . It was shown that the B -dependence of the diffusive conductivity exhibits a complicated oscillatory behavior whose characteristics cannot be associated with Weiss oscillations, but rath...

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Bibliographic Details
Published in:Scientific reports 2020-12, Vol.10 (1), p.21284-21284, Article 21284
Main Authors: de Dios-Leyva, M., Morales, A. L., Duque, C. A.
Format: Article
Language:English
Subjects:
639/766
639/766/119
639/766/119/1000
639/766/119/2794
639/766/119/544
Conductivity
Graphene
Humanities and Social Sciences
Magnetic fields
multidisciplinary
Oscillations
Science
Science (multidisciplinary)
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Summary:The magnetoconductivity in Fibonacci graphene superlattices is investigated in a perpendicular magnetic field B . It was shown that the B -dependence of the diffusive conductivity exhibits a complicated oscillatory behavior whose characteristics cannot be associated with Weiss oscillations, but rather with Shubnikov-de Haas ones. The absense of Weiss oscillations is attributed to the existence of two incommensurate periods in Fibonacci superlattices. It was also found that the quasiperiodicity of the structure leads to a renormalization of the Fermi velocity v F of graphene. Our calculations revealed that, for weak B , the dc Hall conductivity σ yx exhibits well defined and robust plateaux, where it takes the unexpected values ± 4 e 2 / ℏ 2 N + 1 , indicating that the half-integer quantum Hall effect does not occur in the considered structure. It was finally shown that σ yx displays self-similarity for magnetic fields related by τ 2 and τ 4 , where τ is the golden mean.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-020-78479-9