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Band conductivity oscillations in a gate-tunable graphene superlattice

Author

Listed:
  • Robin Huber

    (Institute of Experimental and Applied Physics, University of Regensburg)

  • Max-Niklas Steffen

    (I. Institute of Theoretical Physics, University of Hamburg)

  • Martin Drienovsky

    (Institute of Experimental and Applied Physics, University of Regensburg)

  • Andreas Sandner

    (Institute of Experimental and Applied Physics, University of Regensburg)

  • Kenji Watanabe

    (National Institute for Materials Science)

  • Takashi Taniguchi

    (National Institute for Materials Science)

  • Daniela Pfannkuche

    (I. Institute of Theoretical Physics, University of Hamburg)

  • Dieter Weiss

    (Institute of Experimental and Applied Physics, University of Regensburg)

  • Jonathan Eroms

    (Institute of Experimental and Applied Physics, University of Regensburg)

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.

Suggested Citation

  • Robin Huber & Max-Niklas Steffen & Martin Drienovsky & Andreas Sandner & Kenji Watanabe & Takashi Taniguchi & Daniela Pfannkuche & Dieter Weiss & Jonathan Eroms, 2022. "Band conductivity oscillations in a gate-tunable graphene superlattice," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-30334-3
    DOI: 10.1038/s41467-022-30334-3
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    1. Yuan Cao & Valla Fatemi & Shiang Fang & Kenji Watanabe & Takashi Taniguchi & Efthimios Kaxiras & Pablo Jarillo-Herrero, 2018. "Unconventional superconductivity in magic-angle graphene superlattices," Nature, Nature, vol. 556(7699), pages 43-50, April.
    2. Filippo Pizzocchero & Lene Gammelgaard & Bjarke S. Jessen & José M. Caridad & Lei Wang & James Hone & Peter Bøggild & Timothy J. Booth, 2016. "The hot pick-up technique for batch assembly of van der Waals heterostructures," Nature Communications, Nature, vol. 7(1), pages 1-10, September.
    3. L. A. Ponomarenko & R. V. Gorbachev & G. L. Yu & D. C. Elias & R. Jalil & A. A. Patel & A. Mishchenko & A. S. Mayorov & C. R. Woods & J. R. Wallbank & M. Mucha-Kruczynski & B. A. Piot & M. Potemski & , 2013. "Cloning of Dirac fermions in graphene superlattices," Nature, Nature, vol. 497(7451), pages 594-597, May.
    4. C. R. Dean & L. Wang & P. Maher & C. Forsythe & F. Ghahari & Y. Gao & J. Katoch & M. Ishigami & P. Moon & M. Koshino & T. Taniguchi & K. Watanabe & K. L. Shepard & J. Hone & P. Kim, 2013. "Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices," Nature, Nature, vol. 497(7451), pages 598-602, May.
    5. Julien Barrier & Piranavan Kumaravadivel & Roshan Krishna Kumar & L. A. Ponomarenko & Na Xin & Matthew Holwill & Ciaran Mullan & Minsoo Kim & R. V. Gorbachev & M. D. Thompson & J. R. Prance & T. Tanig, 2020. "Long-range ballistic transport of Brown-Zak fermions in graphene superlattices," Nature Communications, Nature, vol. 11(1), pages 1-7, December.
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    3. Yungi Jeong & Hangyeol Park & Taeho Kim & Kenji Watanabe & Takashi Taniguchi & Jeil Jung & Joonho Jang, 2024. "Interplay of valley, layer and band topology towards interacting quantum phases in moiré bilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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