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Band conductivity oscillations in a gate-tunable graphene superlattice.


ABSTRACT: Electrons exposed to a two-dimensional (2D) periodic potential and a uniform, perpendicular magnetic field exhibit a fractal, self-similar energy spectrum known as the Hofstadter butterfly. Recently, related high-temperature quantum oscillations (Brown-Zak oscillations) were discovered in graphene moiré systems, whose origin lies in the repetitive occurrence of extended minibands/magnetic Bloch states at rational fractions of magnetic flux per unit cell giving rise to an increase in band conductivity. In this work, we report on the experimental observation of band conductivity oscillations in an electrostatically defined and gate-tunable graphene superlattice, which are governed both by the internal structure of the Hofstadter butterfly (Brown-Zak oscillations) and by a commensurability relation between the cyclotron radius of electrons and the superlattice period (Weiss oscillations). We obtain a complete, unified description of band conductivity oscillations in two-dimensional superlattices, yielding a detailed match between theory and experiment.

SUBMITTER: Huber R 

PROVIDER: S-EPMC9126977 | biostudies-literature | 2022 May

REPOSITORIES: biostudies-literature

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Band conductivity oscillations in a gate-tunable graphene superlattice.

Huber Robin R   Steffen Max-Niklas MN   Drienovsky Martin M   Sandner Andreas A   Watanabe Kenji K   Taniguchi Takashi T   Pfannkuche Daniela D   Weiss Dieter D   Eroms Jonathan J  

Nature communications 20220523 1


Electrons exposed to a two-dimensional (2D) periodic potential and a uniform, perpendicular magnetic field exhibit a fractal, self-similar energy spectrum known as the Hofstadter butterfly. Recently, related high-temperature quantum oscillations (Brown-Zak oscillations) were discovered in graphene moiré systems, whose origin lies in the repetitive occurrence of extended minibands/magnetic Bloch states at rational fractions of magnetic flux per unit cell giving rise to an increase in band conduct  ...[more]

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