IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v13y2022i1d10.1038_s41467-022-30334-3.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-30334-3
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-022-30334-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    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. 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.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. David Barcons Ruiz & Hanan Herzig Sheinfux & Rebecca Hoffmann & Iacopo Torre & Hitesh Agarwal & Roshan Krishna Kumar & Lorenzo Vistoli & Takashi Taniguchi & Kenji Watanabe & Adrian Bachtold & Frank H., 2022. "Engineering high quality graphene superlattices via ion milled ultra-thin etching masks," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Mohit Kumar Jat & Priya Tiwari & Robin Bajaj & Ishita Shitut & Shinjan Mandal & Kenji Watanabe & Takashi Taniguchi & H. R. Krishnamurthy & Manish Jain & Aveek Bid, 2024. "Higher order gaps in the renormalized band structure of doubly aligned hBN/bilayer graphene moiré superlattice," Nature Communications, Nature, vol. 15(1), pages 1-7, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Junxiong Hu & Junyou Tan & Mohammed M. Al Ezzi & Udvas Chattopadhyay & Jian Gou & Yuntian Zheng & Zihao Wang & Jiayu Chen & Reshmi Thottathil & Jiangbo Luo & Kenji Watanabe & Takashi Taniguchi & Andre, 2023. "Controlled alignment of supermoiré lattice in double-aligned graphene heterostructures," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    2. Mohit Kumar Jat & Priya Tiwari & Robin Bajaj & Ishita Shitut & Shinjan Mandal & Kenji Watanabe & Takashi Taniguchi & H. R. Krishnamurthy & Manish Jain & Aveek Bid, 2024. "Higher order gaps in the renormalized band structure of doubly aligned hBN/bilayer graphene moiré superlattice," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    3. David Barcons Ruiz & Hanan Herzig Sheinfux & Rebecca Hoffmann & Iacopo Torre & Hitesh Agarwal & Roshan Krishna Kumar & Lorenzo Vistoli & Takashi Taniguchi & Kenji Watanabe & Adrian Bachtold & Frank H., 2022. "Engineering high quality graphene superlattices via ion milled ultra-thin etching masks," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    4. Guowen Yuan & Weilin Liu & Xianlei Huang & Zihao Wan & Chao Wang & Bing Yao & Wenjie Sun & Hang Zheng & Kehan Yang & Zhenjia Zhou & Yuefeng Nie & Jie Xu & Libo Gao, 2023. "Stacking transfer of wafer-scale graphene-based van der Waals superlattices," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    5. Xingdan Sun & Shihao Zhang & Zhiyong Liu & Honglei Zhu & Jinqiang Huang & Kai Yuan & Zhenhua Wang & Kenji Watanabe & Takashi Taniguchi & Xiaoxi Li & Mengjian Zhu & Jinhai Mao & Teng Yang & Jun Kang & , 2021. "Correlated states in doubly-aligned hBN/graphene/hBN heterostructures," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    6. Daniel Shaffer & Jian Wang & Luiz H. Santos, 2022. "Unconventional self-similar Hofstadter superconductivity from repulsive interactions," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    7. Jubin Nathawat & Ishiaka Mansaray & Kohei Sakanashi & Naoto Wada & Michael D. Randle & Shenchu Yin & Keke He & Nargess Arabchigavkani & Ripudaman Dixit & Bilal Barut & Miao Zhao & Harihara Ramamoorthy, 2023. "Signatures of hot carriers and hot phonons in the re-entrant metallic and semiconducting states of Moiré-gapped graphene," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    8. Qing Rao & Wun-Hao Kang & Hongxia Xue & Ziqing Ye & Xuemeng Feng & Kenji Watanabe & Takashi Taniguchi & Ning Wang & Ming-Hao Liu & Dong-Keun Ki, 2023. "Ballistic transport spectroscopy of spin-orbit-coupled bands in monolayer graphene on WSe2," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    9. Pratap Chandra Adak & Subhajit Sinha & Debasmita Giri & Dibya Kanti Mukherjee & Chandan & L. D. Varma Sangani & Surat Layek & Ayshi Mukherjee & Kenji Watanabe & Takashi Taniguchi & H. A. Fertig & Arij, 2022. "Perpendicular electric field drives Chern transitions and layer polarization changes in Hofstadter bands," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    10. Wenqiang Zhou & Jing Ding & Jiannan Hua & Le Zhang & Kenji Watanabe & Takashi Taniguchi & Wei Zhu & Shuigang Xu, 2024. "Layer-polarized ferromagnetism in rhombohedral multilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    11. Hongguang Wang & Jiawei Zhang & Chen Shen & Chao Yang & Kathrin Küster & Julia Deuschle & Ulrich Starke & Hongbin Zhang & Masahiko Isobe & Dennis Huang & Peter A. van Aken & Hidenori Takagi, 2024. "Direct visualization of stacking-selective self-intercalation in epitaxial Nb1+xSe2 films," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    12. Sami Dzsaber & Diego A. Zocco & Alix McCollam & Franziska Weickert & Ross McDonald & Mathieu Taupin & Gaku Eguchi & Xinlin Yan & Andrey Prokofiev & Lucas M. K. Tang & Bryan Vlaar & Laurel E. Winter & , 2022. "Control of electronic topology in a strongly correlated electron system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    13. Sahar Pakdel & Asbjørn Rasmussen & Alireza Taghizadeh & Mads Kruse & Thomas Olsen & Kristian S. Thygesen, 2024. "High-throughput computational stacking reveals emergent properties in natural van der Waals bilayers," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    14. Anushree Datta & M. J. Calderón & A. Camjayi & E. Bascones, 2023. "Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    15. Suk Hyun Sung & Yin Min Goh & Hyobin Yoo & Rebecca Engelke & Hongchao Xie & Kuan Zhang & Zidong Li & Andrew Ye & Parag B. Deotare & Ellad B. Tadmor & Andrew J. Mannix & Jiwoong Park & Liuyan Zhao & Ph, 2022. "Torsional periodic lattice distortions and diffraction of twisted 2D materials," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    16. Max Heyl & Kyosuke Adachi & Yuki M. Itahashi & Yuji Nakagawa & Yuichi Kasahara & Emil J. W. List-Kratochvil & Yusuke Kato & Yoshihiro Iwasa, 2022. "Vortex dynamics in the two-dimensional BCS-BEC crossover," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    17. Sunny Gupta & Henry Yu & Boris I. Yakobson, 2022. "Designing 1D correlated-electron states by non-Euclidean topography of 2D monolayers," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    18. Yiran Ding & Mengqi Zeng & Qijing Zheng & Jiaqian Zhang & Ding Xu & Weiyin Chen & Chenyang Wang & Shulin Chen & Yingying Xie & Yu Ding & Shuting Zheng & Jin Zhao & Peng Gao & Lei Fu, 2021. "Bidirectional and reversible tuning of the interlayer spacing of two-dimensional materials," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    19. Hanyu Wang & Wei Xu & Zeyong Wei & Yiyuan Wang & Zhanshan Wang & Xinbin Cheng & Qinghua Guo & Jinhui Shi & Zhihong Zhu & Biao Yang, 2024. "Twisted photonic Weyl meta-crystals and aperiodic Fermi arc scattering," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    20. Mengqi Huang & Zeliang Sun & Gerald Yan & Hongchao Xie & Nishkarsh Agarwal & Gaihua Ye & Suk Hyun Sung & Hanyi Lu & Jingcheng Zhou & Shaohua Yan & Shangjie Tian & Hechang Lei & Robert Hovden & Rui He , 2023. "Revealing intrinsic domains and fluctuations of moiré magnetism by a wide-field quantum microscope," Nature Communications, Nature, vol. 14(1), pages 1-7, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-30334-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.